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In this article, we consider the estimation of unknown parameters of Weibull distribution when the lifetime data are observed in the presence of progressively type-I hybrid censoring scheme. The Newton-Raphson algorithm,…

统计理论 · 数学 2019-11-12 Yasin Asar , R. Arabi Belaghi

In this article, we consider statistical inference based on dependent competing risks data from Marshall-Olkin bivariate Weibull distribution. The maximum likelihood estimates of the unknown model parameters have been computed by using the…

统计方法学 · 统计学 2023-04-20 Subhankar Dutta , Suchandan Kayal

A Hybrid censoring scheme is mixture of Type-I and Type-II censoring schemes. Based on hybrid censored samples, this paper deals with the in- ference on R = P(X > Y ), when X and Y are two independent Weibull distributions with different…

其他统计学 · 统计学 2017-07-20 Akbar Asgharzadeh , Mohammad Kazemi , Debasis Kundu

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

We propose to integrate weapon system features (such as weapon system manufacturer, deployment time and location, storage time and location, etc.) into a parameterized Cox-Weibull [1] reliability model via a neural network, like DeepSurv…

应用统计 · 统计学 2023-04-17 Michael Potter , Benny Cheng

In this work, we revisit the estimation of the model parameters of a Weibull distribution based on iid observations, using the maximum likelihood estimation (MLE) method which does not yield closed expressions of the estimators. Among other…

统计计算 · 统计学 2025-01-22 Buu-Chau Truong , Peter Mphekgwana , Nabendu Pal

The first step in statistical reliability studies of coherent systems is the estimation of the reliability of each system component. For the cases of parallel and series systems the literature is abundant. It seems that the present paper is…

The hybrid censoring is a mixture of Type I and Type II censoring schemes. This paper presents the statistical inferences of the Inverse Weibull distribution when the data are Type-I hybrid censored. First we consider the maximum likelihood…

其他统计学 · 统计学 2020-04-07 Mohammad Kazemi , Mina Azizpour

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

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

In this paper, we investigate the classical and Bayesian estimation of unknown parameters of the Gumbel type-II distribution based on adaptive type-II progressive hybrid censored sample (AT-II PHCS). The maximum likelihood estimates (MLEs)…

统计方法学 · 统计学 2021-03-17 Subhankar Dutta , Suchandan Kayal

The analysis of progressively censored data has received considerable attention in the last few years. In this paper we consider the joint progressive censoring scheme for two populations. It is assumed that the lifetime distribution of the…

统计方法学 · 统计学 2017-06-26 Shuvashree Mondal , Debasis Kundu

In this article, bootstrap and Shewhart type process control monitoring schemes are proposed for the quantiles of generalized Weibull distribution under hybrid censoring. Monitoring schemes for the quantiles of Weibull, generalized…

统计方法学 · 统计学 2023-09-22 Amarjit Kundu , Shovan Chowdhury , Bidhan Modok

The progressive censoring scheme has received considerable amount of attention in the last fifteen years. During the last few years joint progressive censoring scheme has gained some popularity. Recently, the authors Mondal and Kundu ("A…

应用统计 · 统计学 2018-01-03 Shuvashree Mondal , Debasis Kundu

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

统计方法学 · 统计学 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

Quite often, we observe reliability data with two failure modes that may influence each other, resulting in a setting of dependent failure modes. Here, we discuss modelling of censored reliability data with two dependent failure modes by…

统计方法学 · 统计学 2024-06-07 Aakash Agrawal , Debanjan Mitra , Ayon Ganguly

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

Cold standby 1-out-of-n redundant systems are well-established models in system reliability engineering. To date, reliability analyses of such systems have predominantly assumed exponential, Erlang, or Weibull failure distributions for…

应用统计 · 统计学 2025-12-30 Afshin Yaghoubi , Esmaile Khorram , Omid Naghshineh Arjmand

As the maximum likelihood method is the most commonly used method for parameters estimation being unbiased, consistent, efficient, and asymptotically normal, MLE is used to fit the new distribution (MBUW). But in small to moderate sample…

统计方法学 · 统计学 2025-02-17 Iman Mohammed Attia

We do the error analysis in reliability measures due to the assumption of independence amongst the component lifetimes. In reliability theory, we come across different n-component structures like series, parallel, and k-out-of-n systems. A…

统计理论 · 数学 2024-03-11 Subarna Bhattacharjee , Aninda K. Nanda , Subhasree Patra
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