Abstract

In this paper, we consider the problem of estimation of R = P (X <Y), when (X,Y) follows bivariate normal distribution. The Maximum likelihood estimates and Bayes estimates (BEs) of R are obtained based on record values and its concomitants. BEs are obtained based on both symmetric and asymmetric loss functions. The bootstrap and credible confidence intervals for R are also obtained. Monte Carlo simulations are carried out to study the accuracy of the proposed estimators. A real data set is also used to illustrate the inferential procedures developed in this paper.

Author: Manoj Chacko and Shiny Mathew

Received on: January, 2020

Accepted on: October, 2020