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Closed Skew Normal Stochastic Frontier Models for Panel Data

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Part of the book series: Studies in Theoretical and Applied Statistics ((STASSPSS))

Abstract

We introduce a stochastic frontier model for longitudinal data where a subject random effect coexists with a time independent random inefficiency component and with a time dependent random inefficiency component. The role of the closed skew normal distribution in this kind of modeling is stressed.

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References

  1. Arellano-Valle, E., Azzalini A.: On the unification of families of skew-normal distributions. Scand. J. Stat. 33, 561–574 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  2. Arellano-Valle, E., Bolfarine, H., Lachos, H.: Skew-normal linear mixed models. J. Data. Sci. 3, 415–438 (2005)

    Google Scholar 

  3. Battese, G., Coelli, T., O’Donnel, C., Rao, D.: An Introduction to Efficiency and Productivity Analysis, pp. 325–326. Springer, New York (2005)

    Google Scholar 

  4. Coelli, T., Henningsen A.: frontier: Stochastic Frontier Analysis. R package version 0.996-6 (2010) http://www.R-project.org

  5. Colombi, R.: A skew normal stochastic Frontier model for panel data. In: Poceedings of the 45th Scientific Meeting of the Italian Statistical Society, Universitádi Padova, Padova (2010) http://homes.stat.unipd.it/mgri/SIS2010/Program/contributedpaper/486-1310-1-DR.pdf

  6. Colombi, R., Martini, G., Vittadini, G.: A stochastic frontier model with short-run and long-run inefficiency random effects. Aisberg, WP 012011, Università degli studi di Bergamo, Italy (2011). http://hdl.handle.net/10446/842

  7. Dominguez-Molina, A., Gonzales-Farias, G., Ramos-Quiroga, R.: Skew normality in stochastic frontier analysis. In: Genton, M. (ed.) Skew Elliptical Distributions and their Applications, pp. 223–241. Chapman and Hall CRC, London (2004)

    Google Scholar 

  8. Gonzáles-Farías, G., Domínguez Molina, A., Gupta, A.: Additive properties of skew normal random vectors. J. Stat. Plan. Infer. 126, 521–534 (2004)

    Article  Google Scholar 

  9. Genz, A., Bretz, F., Miwa, T., Mi, X., Leisch, F., Scheipl, F., Hothorn, T.: mvtnorm - Multivariate Normal and t Distributions. R package version 0.9-9992 (2012) http://CRAN.R-project.org/package=mvtnorm

  10. Genz, A., Bretz, F.: Computation of Multivariate Normal and t Probabilities. Springer, New York (2009)

    Book  MATH  Google Scholar 

  11. Greene, W.: Reconsidering heterogeneity in panel data estimators of the stochastic frontier model. J. Economet. 126, 269–303 (2005)

    Article  MathSciNet  Google Scholar 

  12. Kumbhakar, S., Lovell, K.: Stochastic Frontier Analysis. Cambridge University Press, Cambridge (2000)

    Book  MATH  Google Scholar 

  13. Lee, H., Schmidt, P.: A production frontier model with flexible temporal variation in technical efficiency. In: Fried, H., Lovell, K., Scmidt, S. (eds.) The Measurement of Productive Efficiency, pp. 237–255. Oxford University Press, New York (1993)

    Google Scholar 

  14. Lin, T., Lee, C.: Estimation and prediction in linear mixed models with skew-normal random effects for longitudinal data. Statist. Med. 27, 1490–1507 (2005)

    Article  MathSciNet  Google Scholar 

  15. Malighetti, P., Martini, G., Paleari, S., Redondi, R.: An empirical investigation on the efficiency capacity and ownership of italian airports. Riv. Pol. Ec. 47, 157–188 (2007)

    Google Scholar 

  16. Pandey, M.: An effective approximation to evaluate multinormal integrals. Struct. Safety 20, 51–67 (1998)

    Article  Google Scholar 

  17. Pitt, M., Lee, L.: Measurement of sources of technical innefficiency in the Indonesian weawing industry. J. Dev. Econ. 9, 43–64 (1981)

    Article  Google Scholar 

  18. R Development Core Team: R: A language and environment for statistical computing. R Foundation for Statistical Computing ISBN 3-900051-07-0 (2012) http://www.R-project.org

  19. Sivapulle, M.J., Sen, P.K.: Constrained Statistical Inference. Wiley, Hoboken (2005)

    Google Scholar 

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Correspondence to Roberto Colombi .

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Colombi, R. (2013). Closed Skew Normal Stochastic Frontier Models for Panel Data. In: Torelli, N., Pesarin, F., Bar-Hen, A. (eds) Advances in Theoretical and Applied Statistics. Studies in Theoretical and Applied Statistics(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35588-2_17

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