The objective of this study was to examine the properties of Bayes estimators of the parameter, reliability function and hazard rate under the symmetric and asymmetric loss functions for the inverted exponential model. The Bayes predictive interval and the Bayes estimate of shift point are also determined. A simulation study was carried out to study the properties of the Bayes estimators. Intro...

In this paper, a generalized version of the inverted exponential distribution called the weighted inverted exponential distribution is introduced. Several properties of the weighted inverted exponential distribution are studied and derived. In application part the relationship between induced psychological stress, HPA axis and eating behaviour in Binge Eating Disorder (BED) has been discussed. ...

This paper presents estimates of the parameters based on adaptive type-II progressive hybrid censoring scheme (AT-II PHCS) in the presence of the competing risks model. We consider the competing risks have generalized exponential distributions (GED). The maximum likelihood method is used to derive point and asymptotic confidence intervals for the unknown parameters. The relative risks due to ea...

The generalized entropic measure, which is optimized by a given arbitrary distribution under the constraints on normalization of the distribution and the finite ordinary expectation value of a physical random quantity, is considered and its Lesche stability property (that is different from thermodynamic stability) is examined. A general condition, under which the generalized entropy becomes sta...

In this paper, the Bayesian prediction intervals for the future nonadjacent generalized order statistics are computed based on a past right censored sample of nonadjacent generalized order statistics from generalized exponential distribution GE(α, τ). Then, the results will be specialized to the type-II censored samples and to the upper recored values. Mathematics Subject Classification: 62F10;...

We present a new class of statistical models, designed for life history analysis of plants and animals, that allow joint analysis of data on survival and reproduction over multiple years, allow for variables having different probability distributions, and correctly account for the dependence of variables on earlier variables. We illustrate their utility with an analysis of data taken from an ex...