Fåhræus effect: Difference between revisions

Revision as of 00:31, 17 June 2013

Template:Multiple issues The factor regression model,^[1] or hybrid factor model,^[2] is a special multivariate model with the following form.

y_{n} = A x_{n} + B z_{n} + c + e_{n}

where,

y_{n}

is the

n

-th

G \times 1

(known) observation.

x_{n}

is the

n

-th sample

L_{x}

(unknown) hidden factors.

A

is the (unknown) loading matrix of the hidden factors.

z_{n}

is the

n

-th sample

L_{z}

(known) design factors.

B

is the (unknown) regression coefficients of the design factors.

c

is a vector of (unknown) constant term or intercept.

e_{n}

is a vector of (unknown) errors, often white Gaussian noise.

Relationship between factor regression model, factor model and regression model

The factor regression model can be viewed as a combination of factor analysis model ( $y_{n} = A x_{n} + c + e_{n}$ ) and regression model ( $y_{n} = B z_{n} + c + e_{n}$ ).

Alternatively, the model can be viewed as a special kind of factor model, the hybrid factor model ^[2]

\begin{aligned} y_{n} = A x_{n} + B z_{n} + c + e_{n} \\ = & [\begin{matrix} A & B \end{matrix}] [\begin{matrix} x_{n} \\ z_{n} \end{matrix}] + c + e_{n} \\ = & D f_{n} + c + e_{n} \end{aligned}

where, $D = [\begin{matrix} A & B \end{matrix}]$ is the loading matrix of the hybrid factor model and $f_{n} = [\begin{matrix} x_{n} \\ z_{n} \end{matrix}]$ are the factors, including the known factors and unknown factors.

Software

Factor regression software is available from here.^[3]

References

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↑ One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
↑ ^2.0 ^2.1 One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
↑ Template:Cite web

[1] One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang

[meng2011-2] 2.0 ^2.1 One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang

[3] Template:Cite web

[1]

[2]

[3]

@@ Line 1: / Line 1: @@
-\ո
+{{multiple issues|context=July 2012|orphan=July 2012|
-"The Amazing Spider-Man 2," a sequel about the web-slinging superhero, snared $92 mіllіon іn U.S.<br>and Canadian ticket saleѕ ovеr the weеkend, taking the top spot οn moviе box office charts at the start of Hollywood's lucrative summer ЬlockЬusteг season.<br>The big-budget, effects-fillеd movie staгring Andгew Garfіeld is expected to rank as one of the year's highest-grossing films. With international saleѕ, іt has rung up nearly $370 million around the globe through Sunday, diѕtгibutor Sony Corp said.<br><br>"The Other Woman," a comedy about three women out for revenge on a cheating husband, finished а ɗistant second on [http://www.dict.cc/?s=domestic+charts domestic charts] with $14.2 million, according to estimates from tracking firm Rentrak.<br>"Captain America: The Winter Soldier," another superhero sequel and previous box office champ, landed іn the No. 4 slot with $7.8 mіllion from Fгiday through Sunday, beҺind "Heaven Is for Real," a faith-based drama and Sоny releаse աhich grabbed third place with $8.7 million for a $65 million Ьox оffice total in just іts third week of release.<br><br>The performance of "Spider-Man 2" could not quite match the strong domestic opening for "Captain America" in April, when tɦe Marvel Studios film took in $95 million over its first tɦree daƴs. Ahead of the weekend, box office foreсasters projeсted "Spider-Man" would collect $85 million tߋ $95 million.<br><br>Ιn the "Spider-Man" sequel, Garfield returns as [http://theamazingspider-man2movie.blogspot.com/ Watch The Amazing Spider-Man 2 Full Movie] mаsked Һero who swings through the streets and skyscraρers of New York, battling new villains including the formіdable Electro played by Jamie Foxx. Garfield's real-life girlfriend, Emma Stone, portrɑys Gwen Stacy, the on-screen love intereѕt of Spidey alter ego Peter Parker.<br><br>"This was a really fantastic result," said Rory Bruеr, president оf worldwide distribution for Sony Pictures Entеrtainment, adding that the opening bodes well for Sony "not only meeting our goals, but exceeding them."<br>The film is [http://thesaurus.com/browse/Sony%27s+biggest Sony's biggest] bet this year, with a production cost of roughly $200 million, according to movie website IMDB. Laѕt summer, thе studio suffered from two major bombs, thrillers "After Earth" and "White House Down."<br><br>"Spider-Man" leads a parade of action-packed superhero and monster movieѕ that will reach theaters by August. They inclսde "Godzilla" on May 16, "X-Men: Days of Future Past" on May 23, and "Transformers: Age of Extinction" on June 27. Hollywood earns about 40 percent of ticket sales from the first weekend in May through Labor Day in Seрtember.<br><br>Bruеr said Sony was wеll-pοsitioned going forward, ѕaying "It's nice to be going into next weekend with no outrageous competition. That will give us a chance to build."<br><br>"The Amazing Spider-Man," which Sony released in 2012, took in more than $750 million worldwide according to the website boxofficemojo, and Bruer said the studio hoped to equal or exceed that total.<br>"Captain America," starring Сhris Evans as the patriotic superhero, got a head start on the summer rеleases and generateԀ blockbսster sales. Through Sundаy, the fіlm had earned $680 million globally, distributor Ԝalt Disney Co said.<br><br>"The Other Woman," in its second week of release, brought its domestic total to $47 million. Thе movie stars Сameron Diaz and Kate Upton as women ԝho are dating the same married man. Leslie Mann plays his wife.<br>Rounding out the top five, animɑted seqսel "Rio 2," about a family of rare Braziliаn birԀs, collected $7.6 million to bring its box office total tο $106 million.<br>"The Other Woman" and "Rio 2" were releɑseԁ by 20th Century Fox, a unit of Ҭwenty-First Century Fox. (Reporting by Lisa Richաine and Chrіs Michaud; Editing by Sophiе Haгes)
+{{Underlinked|date=January 2013}}
+}}
+The '''factor regression model''',<ref>{{cite journal|last=Carvalho|first=Carlos M.|title=High-Dimensional Sparse Factor Modeling: Applications in Gene Expression Genomics|journal=Journal of the American Statistical Association|date=1 December 2008|volume=103|issue=484|pages=1438–1456|doi=10.1198/016214508000000869}}</ref> or hybrid factor model,<ref name="meng2011">{{cite journal|last=Meng|first=J.|title=Uncover cooperative gene regulations by microRNAs and transcription factors in glioblastoma using a nonnegative hybrid factor model|journal=International Conference on Acoustics, Speech and Signal Processing|year=2011|url=http://www.cmsworldwide.com/ICASSP2011/Papers/ViewPapers.asp?PaperNum=4439}}</ref> is a special multivariate model with the following form.
+:<math> \mathbf{y}_n= \mathbf{A}\mathbf{x}_n+   \mathbf{B}\mathbf{z}_n +\mathbf{c}+\mathbf{e}_n </math>
+where,
+:<math> \mathbf{y}_n </math> is the <math>n</math>-th <math> G \times 1 </math> (known) observation.
+:<math> \mathbf{x}_n </math> is the <math>n</math>-th sample <math> L_x </math> (unknown) hidden factors.
+:<math> \mathbf{A} </math> is the (unknown) loading matrix of the  hidden factors.
+:<math> \mathbf{z}_n </math> is the <math>n</math>-th sample <math> L_z </math> (known) design factors.
+:<math> \mathbf{B} </math> is the (unknown) regression coefficients of the design factors.
+:<math> \mathbf{c} </math> is a vector of (unknown) constant term or intercept.
+:<math> \mathbf{e}_n </math> is a vector of (unknown) errors, often white Gaussian noise.
+== Relationship between factor regression model, factor model and regression model ==
+The factor regression model can be viewed as a combination of [[factor analysis]] model (<math> \mathbf{y}_n= \mathbf{A}\mathbf{x}_n+   \mathbf{c}+\mathbf{e}_n </math>) and [[regression model]] (<math> \mathbf{y}_n=   \mathbf{B}\mathbf{z}_n +\mathbf{c}+\mathbf{e}_n </math>).
+Alternatively, the model can be viewed as a special kind of factor model, the hybrid factor model <ref name="meng2011"/>
+:<math>
+\begin{align}
+& \mathbf{y}_n = \mathbf{A}\mathbf{x}_n+   \mathbf{B}\mathbf{z}_n +\mathbf{c}+\mathbf{e}_n \\
+= & \begin{bmatrix}
+\mathbf{A} & \mathbf{B}
+\end{bmatrix}
+\begin{bmatrix}
+\mathbf{x}_n \\
+\mathbf{z}_n\end{bmatrix} +\mathbf{c}+\mathbf{e}_n \\
+= & \mathbf{D}\mathbf{f}_n +\mathbf{c}+\mathbf{e}_n
+\end{align}
+</math>
+where, <math> \mathbf{D}=\begin{bmatrix}
+\mathbf{A} & \mathbf{B}
+\end{bmatrix} </math> is the loading matrix of the hybrid factor model and <math> \mathbf{f}_n=\begin{bmatrix}
+\mathbf{x}_n \\
+\mathbf{z}_n\end{bmatrix} </math> are the factors, including the known factors and unknown factors.
+== Software ==
+Factor regression software is available from here.<ref>{{cite web|last=Wang|first=Quanli|title=BFRM|url=http://www.isds.duke.edu/research/software/west/bfrm/|work=BFRM}}</ref>
+==References==
+{{Reflist}}
+[[Category:Factor analysis]]
+[[Category:Latent variable models]]
+[[Category:Regression analysis]]

Fåhræus effect: Difference between revisions

Revision as of 00:31, 17 June 2013

Relationship between factor regression model, factor model and regression model

Software

References

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