Likelihood and Bayesian estimation of Pr (X< Y) using lower record values from the generalized exponential distribution

A Baklizi - Computational Statistics & Data Analysis, 2008 - Elsevier
We consider the likelihood and Bayesian estimation of the stress-strength reliability based
on lower record values from the generalized exponential distribution. The estimators are …

Estimation and prediction in a two-parameter exponential distribution based on k-record values under LINEX loss function

J Ahmadi, M Doostparast, A Parsian - Communications in Statistics …, 2005 - Taylor & Francis
There are many situations where experimental outcomes are a sequence of record-breaking
observations. In this article, Bayesian estimation for the two parameters of the exponential …

Bayesian estimation and prediction for some life distributions based on record values

J Ahmadi, M Doostparast - Statistical Papers, 2006 - Springer
Some statistical data are most easily accessed in terms of record values. Examples include
meteorology, hydrology and athletic events. Also, there are a number of industrial situations …

Estimation of Pr(X < Y) Using Record Values in the One and Two Parameter Exponential Distributions

A Baklizi - Communications in Statistics—Theory and Methods, 2008 - Taylor & Francis
We consider the problem of estimating the stress-strength reliability when the available data
is in the form of record values. The one parameter and two parameters exponential …

Entropy properties of record statistics

S Baratpour, J Ahmadi, NR Arghami - Statistical Papers, 2007 - Springer
Record values can be viewed as order statistics from a sample whose size is determined by
the values and the order of occurrence of observations. They are closely connected with the …

Ordered and censored lifetime data in reliability: An illustrative review

E Cramer - Wiley Interdisciplinary Reviews: Computational …, 2023 - Wiley Online Library
The present review provides a survey on basic models of ordered data and censoring
mechanisms with a focus on lifetime data, failure data, and reliability applications …

Statistical inference based on record data from Pareto model

MZ Raqab, J Ahmadi, M Doostparast - Statistics, 2007 - Taylor & Francis
In this article, based on record values from the two-parameter Pareto distribution, maximum
likelihood and Bayes estimators for the two unknown parameters are obtained. The Bayes …

UMVU estimation of reliability function and stress–strength reliability from proportional reversed hazard family based on lower records

MJS Khan, M Arshad - American Journal of Mathematical and …, 2016 - Taylor & Francis
SYNOPTIC ABSTRACT In this study, we have obtained the uniformly minimum variance
unbiased estimator (UMVUE) of reliability function and stress–strength reliability for one …

On estimation of stress–strength parameter using record values from proportional hazard rate models

M Basirat, S Baratpour, J Ahmadi - Communications in Statistics …, 2016 - Taylor & Francis
Based on record values, this article deals with inference for stress–strength reliability, R= P
(X< Y), where the distributions of X and Y follow proportional hazard rate models but having …

Confidence intervals for quantiles in terms of record range

J Ahmadi, N Balakrishnan - Statistics & probability letters, 2004 - Elsevier
Often, in industrial stress testing, meteorological data analysis, athletic events, and other
similar situations, measurements may be made sequentially and only values larger or …