Estimation of P(Y < X) based on Records for Kumaraswamy-Exponential Distribution

Estimation of P(Y < X)

Authors

  • Shiny Mathew
  • Manoj Chacko University of Kerala

Keywords:

Record values, Kumaraswamy exponential distribution, Maximum likelihood estimator, Exponential distribution

Abstract

In this paper, the problem of estimation of R = P(Y < X) based on record
values, when X and Y are two independent Kumaraswamy exponential (Kw-E) distributions is considered. The maximum likelihood (ML) estimator of R is obtained. Asymptotic distributions based on ML estimators are also obtained. Monte Carlo simulation is performed to study the behaviour of different estimators.

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Published

2015-12-01

How to Cite

1.
Mathew S, Chacko M. Estimation of P(Y < X) based on Records for Kumaraswamy-Exponential Distribution: Estimation of P(Y < X). JKSA [Internet]. 2015 Dec. 1 [cited 2024 May 5];26(1):57-69. Available from: https://ojs.ksa.org.in/index.php/JKSA/article/view/15

Issue

Vol. 26 No. 1 (2015)

Section

Articles