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相关论文: Estimating of $P(Y<X)$ in the Exponential case Bas…

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This paper deals with the estimation of reliability $R=P(Y<X)$ when $X$ is a random strength of a component subjected to a random stress $Y$ and $(X,Y)$ follows a bivariate Rayleigh distribution. The maximum likelihood estimator of $R$ and…

统计理论 · 数学 2014-05-20 Abbas Pak , Nayereh Bagheri Khoolenjani , Ali Akbar Jafari

In this paper, we study the estimation of $R=P [Y < X ]$, also so-called the stress-strength model, when both $X$ and $Y$ are two independent random variables with the generalized linear failure rate distributions, under different…

应用统计 · 统计学 2013-12-03 Fatemeh Shahsanaei , Alireza Daneshkhah

Based on independent progressively Type-II censored samples from two-parameter Rayleigh distributions with the same location parameter but different scale parameters, the UMVUE and maximum likelihood estimator of $R=P(Y<X)$ are obtained.…

应用统计 · 统计学 2017-09-05 Akram Kohansal , Saeid Rezakhah

Estimation of reliability and hazard rate is one of the most important problems raised in many applications especially in engineering studies as well as human lifetime. In this regard, different methods of estimation have been used. Each…

统计方法学 · 统计学 2021-07-27 Hassan Piriaeia , Omid Shojaee

The analysis of a truncated sample can be hindered by censoring. Survival information may be lost to follow-up or the birthdate may be missing. The data can still be modeled as a truncated point process and it is close to a Poisson process,…

统计方法学 · 统计学 2025-08-12 Fiete Sieg , Anne-Marie Toparkus , Rafael Weissbach

This article explores the estimation of unknown parameters and reliability characteristics under the assumption that the lifetimes of the testing units follow an Inverted Exponentiated Pareto (IEP) distribution. Here, both point and…

统计理论 · 数学 2025-01-22 Rajendranath Mondal , Aditi Kar Gangopadhyay , Raju Bhakta , Kousik Maiti

A hybrid censoring scheme is a mixture of Type-I and Type-II censoring schemes. We study the estimation of parameters of weighted exponential distribution based on Type-II hybrid censored data. By applying EM algorithm, maximum likelihood…

统计理论 · 数学 2012-03-02 Akram Kohansal , Saeid Rezakhah

One of the important problem in reliability analysis is computation of stress-strength reliability. But it is impractical to compute it in certain situations. So the estimation stay as an alternative solution to get an approximate value of…

统计方法学 · 统计学 2022-12-16 Beenu Thomas , V. M. Chacko

In this article, the reliabilities $R(t)=P(X\geq t)$, when $X$ follows two-parameter geometric distribution and $R=P(X\leq Y)$, arises under stress-strength setup, when X and Y assumed to follow two-parameter geometric independently have…

应用统计 · 统计学 2015-01-22 Sudhansu S. Maiti , Sudhir Murmu , G. Chattopadhyay

This paper studies distributed binary test of statistical independence under communication (information bits) constraints. While testing independence is very relevant in various applications, distributed independence test is particularly…

统计理论 · 数学 2021-11-29 Sebastian Espinosa , Jorge F. Silva , Pablo Piantanida

For a sample of Exponentially distributed durations we aim at point estimation and a confidence interval for its parameter. A duration is only observed if it has ended within a certain time interval, determined by a Uniform distribution.…

统计方法学 · 统计学 2021-10-19 Rafael Weißbach , Dominik Wied

The Type-1 Pathway Generated Exponential distribution (PGE-1) is introduced. We have considered the estimate of the stress-strength parameter when the stress and strength components are statistically independent and follow PGE-1…

统计方法学 · 统计学 2023-03-10 Gladwin James V. , Thomas Xavier , Nicy Sebastian

This paper presents a hierarchical Bayesian approach to the estimation of components' reliability (survival) using a Weibull model for each of them. The proposed method can be used to estimation with general survival censored data, because…

统计方法学 · 统计学 2014-07-17 Felipe L. Bhering , Carlos A. de B. Pereira , Adriano Polpo

In this paper we investigate the estimation of the unknown parameters of a competing risk model based on a Weibull distributed decreasing failure rate and an exponentially distributed constant failure rate, under right censored…

统计理论 · 数学 2021-01-12 Hamida Talhi , Hiba Aiachi , Nadji Rahmania

In reliability and life testing when the exponentially distributed components are put in series, it is generally assumed that the lifetimes of the components are independently distributed, which leads to some errors if they are not actually…

统计理论 · 数学 2019-02-26 Asok K. Nanda , Sanjib Gayen , Shovan Chowdhury

Analysis of random censored life-time data along with some related stochastic covariables is of great importance in many applied sciences like medical research, population studies and planning etc. The parametric estimation technique…

统计理论 · 数学 2019-05-09 Abhik Ghosh , Ayanendranath Basu

This paper proposes two estimators of the joint entropy of the Type-II censored data. Consistency of both estimators is proved. Simulation results show that the second one shows less bias and root of mean square error (RMSE) than leading…

统计理论 · 数学 2013-01-03 A. Kohansal , S. Rezakhah

In this paper a new decision theoretic sampling plan (DSP) is proposed for Type-I censored exponential distribution. The proposed DSP is based on a new estimator of the expected lifetime of an exponential distribution which always exists,…

统计理论 · 数学 2018-06-18 Deepak Prajapati , Sharmistha Mitra , Debasis Kundu

Sequential estimation of a probability $p$ by means of inverse binomial sampling is considered. For $\mu_1,\mu_2>1$ given, the accuracy of an estimator $\hat{p}$ is measured by the confidence level $P[p/\mu_2\leq\hat{p}\leq p\mu_1]$. The…

统计理论 · 数学 2010-10-12 Luis Mendo , José M. Hernando

The paper addresses the problem of estimation of the model parameters of the logistic exponential distribution based on progressive type-I hybrid censored sample. The maximum likelihood estimates are obtained and computed numerically using…

应用统计 · 统计学 2023-02-13 Subhankar Dutta , Suchandan Kayal
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