Discriminating Between Exponential and Lindley Distributions

DOI

10.2991/jsta.d.190818.006How to use a DOI?

Keywords

Hellinger distance; Lindley distribution; Meijer G-function; Probability of correct selection; Pseudo; Likelihood estimator; Ratio of maximum likelihoods

Abstract

In literature, Lindley distribution is considered as an alternate to the exponential distribution. In the present work, a methodology is developed to discriminate between exponential and Lindley distributions based on the ratio of the maximum likelihoods. Asymptotic distribution of the test statistic under the null hypothesis is derived and the minimum sample size required to discriminate between the two distributions for a user specified probability of correct selection is obtained. Numerical illustrations of the methodology are given through simulated and real life data sets.

Copyright

© 2019 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - V. S. Vaidyanathan
AU  - A Sharon Varghese
PY  - 2019
DA  - 2019/09/03
TI  - Discriminating Between Exponential and Lindley Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 295
EP  - 302
VL  - 18
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190818.006
DO  - 10.2991/jsta.d.190818.006
ID  - Vaidyanathan2019
ER  -