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Modeling Firm-Size Distribution Using Box-Cox Heteroscedastic Regression

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Author Info
Zhenlin Yang () (School of Economics and Social Sciences, Singapore Management University)
Yiu Kuen Tse () (School of Economics and Social Sciences, Singapore Management University)

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Abstract

Using the Box-Cox regression model with heteroscedasticity, we examine the size distribution of firms. Analyzing the data set of Portuguese manufacturing firms as in Machado and Mata (2000), we show that our approach compares favorably against the Box-Cox quantile regression method. In particular, we are able to answer the key questions addressed by Machado and Mata, with the additional advantage that our empirical quantile functions are monotonic. Furthermore, confidence intervals of the regression quantiles are easy to compute, and the estimation of the Box-Cox heteroscedastic regression model is straightforward.

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File URL: https://mercury.smu.edu.sg/rsrchpubupload/1851/fs_paper.pdf
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Publisher Info
Paper provided by Singapore Management University, School of Economics in its series Working Papers with number 10-2004.

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Length: 26 pages
Date of creation: Mar 2004
Date of revision:
Publication status: Published in SMU Economics and Statistics Working Paper Series
Handle: RePEc:siu:wpaper:10-2004

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Related research
Keywords: Box-Cox transformation; Firm-size distribution; Quantile regression.;

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Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C5 - Mathematical and Quantitative Methods - - Econometric Modeling
L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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  1. Jose A. F. Machado & Jose Mata, 2000. "Box-Cox quantile regression and the distribution of firm sizes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(3), pages 253-274. [Downloadable!]
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This page was last updated on 2009-11-27.


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