Estimation of P(X > Y) with ToppLeone distribution

Genc, Ali I.2019-08-012019-08-0120130094-9655https://dx.doi.org/10.1080/00949655.2011.607821https://hdl.handle.net/11480/4431We consider the estimation problem of the probability P=P(X>Y) for the standard ToppLeone distribution. After discussing the maximum likelihood and uniformly minimum variance unbiased estimation procedures for the problem on both complete and left censored samples, we perform a Monte Carlo simulation to compare the estimators based on the mean square error criteria. We also consider the interval estimation of P.eninfo:eu-repo/semantics/closedAccessToppLeone distributionstressstrength modelsystem reliabilityleft censored sampleJ-shaped distribution62N0562F10Estimation of P(X > Y) with ToppLeone distributionArticle83232633910.1080/00949655.2011.6078212-s2.0-84872571858Q2WOS:000316055300007Q3