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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 368, Pages 268–281
(Mi znsl3517)
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This article is cited in 1 scientific paper (total in 1 paper)
A characterization and a class of omnibus tests for the exponential distribution based on the empirical characteristic function
N. Henzea, S. G. Meintanisb a Institut fur Stochastik, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
b National and Kapodistrian University of Athens, Department of Economics, Athens, Greece
Abstract:
The characteristic function $\varphi(t)$ of an exponentially distributed random variable is characterized by having its squared modulus identically equal to the real part of $\varphi(t)$. We study the behavior of a class of consistent tests for exponentiality based on a weighted integral involving the empirical counterparts of these quantities, corresponding to suitably rescaled data. Bibl. – 25 titles.
Key words and phrases:
empirical characteristic function, goodness-of-fit test, test for exponentiality.
Received: 03.10.2009
Citation:
N. Henze, S. G. Meintanis, “A characterization and a class of omnibus tests for the exponential distribution based on the empirical characteristic function”, Probability and statistics. Part 15, Zap. Nauchn. Sem. POMI, 368, POMI, St. Petersburg, 2009, 268–281; J. Math. Sci. (N. Y.), 167:4 (2010), 588–595
Linking options:
https://www.mathnet.ru/eng/znsl3517 https://www.mathnet.ru/eng/znsl/v368/p268
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Abstract page: | 233 | Full-text PDF : | 78 | References: | 32 |
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