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The study proposes a new decision theoretic sampling plan (DSP) for Type-I and Type-I hybrid censored samples when the lifetimes of individual items are exponentially distributed with a scale parameter. The DSP is based on an estimator of…

Methodology · Statistics 2018-07-03 Deepak Prajapati , Sharmistha Mitra , Debasis Kundu

In this study, variable acceptance sampling plans under Type I hybrid censoring is designed for a lot of independent and identical units with exponential lifetimes using Bayesian estimate of the parameter $\vartheta$. This approach is new…

Statistics Theory · Mathematics 2023-11-29 Ashlyn Maria Mathai , Mahesh Kumar

This article describes the inferential procedures and Bayesian optimal life-testing issues under Type-II unified hybrid censoring scheme. First, the explicit expressions of expected number of failures, expected duration of testing and…

Statistics Theory · Mathematics 2020-04-14 Tanmay Sen , Ritwik Bhattacharya , Biswabrata Pradhan , Yogesh Mani Tripathi

We obtain a reliability acceptance sampling plan for independent competing risk data under interval censoring schemes using the Bayesian approach. At first, the Bayesian reliability acceptance sampling plan is obtained where the decision…

Applications · Statistics 2025-10-21 Biswabrata Pradhan , Rathin Das

Progressive censoring scheme has received considerable attention in recent years. In this paper we introduce a new type-II progressive censoring scheme for two samples. It is observed that the proposed censoring scheme is analytically more…

Methodology · Statistics 2016-09-20 Shuvashree Mondal , Debasis Kundu

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,…

Methodology · Statistics 2025-08-12 Fiete Sieg , Anne-Marie Toparkus , Rafael Weissbach

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…

Applications · Statistics 2023-02-13 Subhankar Dutta , Suchandan Kayal

Computational capability often falls short when confronted with massive data, posing a common challenge in establishing a statistical model or statistical inference method dealing with big data. While subsampling techniques have been…

Methodology · Statistics 2024-10-31 Yixiao Ruan , Zan Li , Zhaohui Li , Dennis K. J. Lin , Qingpei Hu , Dan Yu

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…

Statistics Theory · Mathematics 2012-03-02 Akram Kohansal , Saeid Rezakhah

A doubly type-II censored scheme is an important sampling scheme in the life testing experiment and reliability engineering. In the present commutation, we have considered estimating ordered scale parameters of two exponential distributions…

Statistics Theory · Mathematics 2024-12-09 Shrajal Bajpai , Lakshmi Kanta Patra

Chen and Lio (Computational Statistics and Data Analysis 54: 1581-1591, 2010) proposed five methods for estimating the parameters of generalized exponential distribution under progressive type-I interval censoring scheme. Unfortunately,…

Statistics Theory · Mathematics 2018-11-19 M. Teimouri

In recent times, products have become increasingly complex and highly reliable, so failures typically occur after long periods of operation under normal conditions and may arise from multiple causes. This paper employs simple step-stress…

Methodology · Statistics 2025-08-01 Rathin Das , Soumya Roy , Biswabrata Pradhan

Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

Methodology · Statistics 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

We consider constrained sampling problems in paid research studies or clinical trials. When qualified volunteers are more than the budget allowed, we recommend a D-optimal sampling strategy based on the optimal design theory and develop a…

Methodology · Statistics 2024-05-27 Yifei Huang , Liping Tong , Jie Yang

Kundu and Gupta (2007, Metrika, 65, 159 - 170) provided the analysis of Type-I hybrid censored competing risks data, when the lifetime distribution of the competing causes of failures follow exponential distribution. In this paper we…

Applications · Statistics 2017-07-18 Arnab Koley , D. Kundu , Ayon Ganguly

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…

Statistics Theory · Mathematics 2025-01-22 Rajendranath Mondal , Aditi Kar Gangopadhyay , Raju Bhakta , Kousik Maiti

We present a new estimator of the restricted mean survival time in randomized trials where there is right censoring that may depend on treatment and baseline variables. The proposed estimator leverages prognostic baseline variables to…

Statistics Theory · Mathematics 2016-08-22 Iván Díaz , Elizabeth Colantuoni , Daniel F. Hanley , Michael Rosenblum

The experimenter must perform a legitimate search in the entire set of feasible censoring schemes to identify the optimal type II progressive censoring scheme, when applied to a life-testing experiment. Current recommendations are limited…

Applications · Statistics 2025-07-29 Ujjwal Roy , Ritwik Bhattacharya

In this paper, we propose two variable selection methods for adjusting the censoring information for survival times, such as the restricted mean survival time. To adjust for the influence of censoring, we consider an inverse survival…

Methodology · Statistics 2022-12-06 Masahiro Kojima

We propose Distributionally Balanced Designs (DBD), a new class of probability sampling designs that target representativeness at the level of the full auxiliary distribution rather than selected moments. In disciplines such as ecology,…

Methodology · Statistics 2026-03-13 Anton Grafström , Wilmer Prentius
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