A consistent test for exponentiality based on the empirical moment process
DOI:
https://doi.org/10.6092/issn.1973-2201/3547Abstract
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
How to Cite
Issue
Section
License
Copyright (c) 2009 Statistica
This journal is licensed under a Creative Commons Attribution 3.0 Unported License (full legal code).
Authors accept to transfer their copyrights to the journal.
See also our Open Access Policy.