A consistent test for exponentiality based on the empirical moment process

Authors

  • Simos G. Meintanis National and Kapodistrian University of Athens

DOI:

https://doi.org/10.6092/issn.1973-2201/3547

Abstract

A test for exponentiality is proposed which is consistent within the newly defined class of LIFRA life distributions. The test may be viewed as a test for uniformity based on a continuum of moment conditions. The limit null distribution of the test statistic is derived, and the finite-sample properties of the proposed procedures are investigated via simulation.

References

S. ASCHER, (1990). A survey of tests for exponentiality, “Communications in Statistics – Theory and Methods”, 19, pp. 1811-1825.

J. BARTOSZEWICZ, M. SKOLIMOWSKA, (2008). New classes of life distributions related to the Laplace transform, “Communications in Statistics - Theory and Methods”, to appear.

M. CARRASCO, J.P FLORENS, (2000). Generalization of GMM to a continuum of moment conditions, “Econometric Theory”, 16, pp. 797-834.

M. CARRASCO, J.P. FLORENS, (2002). Simulation–based method of moments and efficiency, “Journal of Business & Economic Statistic”, 20, pp. 482-492.

R. D’AGOSTINO, M.A. STEPHENS, (1986). Goodness of Fit Techniques, Marcel Dekker, New York.

N. HENZE, S.G. MEINTANIS, (2005). Recent and classical tests for expionentiality: a partial review with comparisons, “Metrika”, 61, pp. 29-45.

R.H. RANDLES, (1982). On the asymptotic normality of statistics with estimated parameters, “Annals of Statistics”, 10, pp. 462-474.

T.A. SEVERINI, (2005). Elements of Distribution Theory, Cambridge University Press, New York.

J.D. SPURRIER, (1984). An overview of tests for exponentiality, “Communications in Statistics - Theory and Methods”, 13, pp. 1635-1654.

A.I. ZAYED, (1996). Handbook of Function and Generalized Function Transformations. CRC Press, New York.

Downloads

Published

2009-03-31

How to Cite

Meintanis, S. G. (2009). A consistent test for exponentiality based on the empirical moment process. Statistica, 69(1), 49–57. https://doi.org/10.6092/issn.1973-2201/3547

Issue

Section

Articles