2015
DOI: 10.1016/j.jeconom.2014.09.014
|View full text |Cite
|
Sign up to set email alerts
|

Cross-sectional averages versus principal components

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

6
98
0

Year Published

2015
2015
2020
2020

Publication Types

Select...
9

Relationship

4
5

Authors

Journals

citations
Cited by 119 publications
(104 citation statements)
references
References 6 publications
6
98
0
Order By: Relevance
“…The use of PCs within the framework of this analysis has been documented by Westerlund & Urbain (2012, 2013b who have built on previous papers (Pesaran, 2006;Stock & Watson, 2002;Bai, 2003;Bai, 2009;Greenaway-McGrevy et al, 2012). As to what error are inherent in PC regressors, they have remarked on the possibility of normal inferences with PC-factors augmenting regressions, if the coefficients that are estimated converge toward their real values at the rate: NT , (where T is the number of time series and N, the number of cross sections).…”
Section: Principal Component Analysismentioning
confidence: 99%
“…The use of PCs within the framework of this analysis has been documented by Westerlund & Urbain (2012, 2013b who have built on previous papers (Pesaran, 2006;Stock & Watson, 2002;Bai, 2003;Bai, 2009;Greenaway-McGrevy et al, 2012). As to what error are inherent in PC regressors, they have remarked on the possibility of normal inferences with PC-factors augmenting regressions, if the coefficients that are estimated converge toward their real values at the rate: NT , (where T is the number of time series and N, the number of cross sections).…”
Section: Principal Component Analysismentioning
confidence: 99%
“…Applying a similar logic to the calculation of idiosyncratic consumption, and approximating the common factors with cross‐sectional means of the variables, we obtain the more general model citnormalγictruetruec¯t=αi+βitrue(yitnormalγ˜iyy¯ttrue)+ϵit, or cit=αi+βiyit+normalγictruetruec¯t+normalγiytruetruey¯t+ϵit, where the β i coefficient measures the extent to which idiosyncratic shocks to income are channeled into idiosyncratic consumption. The approximation of common factors by cross‐sectional averages is advantageous for two reasons: first, the analysis of risk sharing focuses on consistent estimation of the β coefficient, but it does not concern itself with common factors per se, and second, Westerlund and Urbain () have shown that this approximation results in lower bias of the β estimate than competing approaches based on direct estimation of the common factors. The country‐specific γiy=βitruetrueγ˜iy and normalγic coefficients allow the amount of income and consumption driven by global shocks to vary across economies.…”
Section: An Alternative Approachmentioning
confidence: 99%
“…In the second stage, the CCE estimate of an individual β i is obtained by regressing the residual trueξˆitc, capturing idiosyncratic consumption, on the residual trueξˆity, capturing idiosyncratic income. While the λ coefficients in (11) and (12) cannot be meaningfully interpreted (see Pesaran, ; Westerlund & Urbain, ), the residuals trueξˆitc and trueξˆity are valid estimates of the idiosyncratic components and can be compared to cross‐sectionally demeaned consumption and income. Note that the latter may not be free of aggregate shocks: if the effect of global cycles differs across countries, cross‐sectional demeaning will not be able to isolate the idiosyncratic variation in the data and will therefore lead to biased conclusions about the extent of risk sharing.…”
Section: Empirical Strategymentioning
confidence: 99%
“…The use of PC‐augmented estimators is also consistent with the above narrative. Westerlund and Urbain () have drawn from existing studies (Bai ; Greenaway‐McGrevy, Han, and Sul ; Pesaran ; Stock and Watson ) to elucidate factors derived from PCA. They have established that normal inferences are possible with PC regressors provided that the estimated coefficients converge at a rate NT toward their real values.…”
Section: Methodsmentioning
confidence: 99%