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Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

Methodology · Statistics 2018-08-14 Heng Shu , Zhiqiang Tan

Proportional mean residual life model is studied for analysing survival data from the case-cohort design. To simultaneously estimate the regression parameters and the baseline mean residual life function, weighted estimating equations based…

Statistics Theory · Mathematics 2019-01-18 Huijuan Ma , Jianhua Shi , Yong Zhou

In this review, we present a simple guide for researchers to obtain pseudo-random samples with censored data. We focus our attention on the most common types of censored data, such as type I, type II, and random censoring. We discussed the…

Doubly truncated data arise in many areas such as astronomy, econometrics, and medical studies. For the regression analysis with doubly truncated response variables, the existence of double truncation may bring bias for estimation as well…

Methodology · Statistics 2021-10-22 Ming Zheng , Chanjuan Lin , Wen Yu

In statistical process control Weibull distribution can be used to model the time between events or failures (TBE) in a process with increasing decreasing or constant failure rates. Specifically it helps in monitoring processes where the…

Applications · Statistics 2025-08-11 Tanuja Negi

Self-selected samples are frequently obtained due to different levels of survey participation propensity of the survey individuals. When the survey participation is related to the survey topic of interest, propensity score weighting…

Applications · Statistics 2014-11-24 Sixia Chen , Jae-Kwang Kim

Adaptive experiments are becoming increasingly popular in real-world applications for effectively maximizing in-sample welfare and efficiency by data-driven sampling. Despite their growing prevalence, however, the statistical foundations…

Statistics Theory · Mathematics 2026-04-15 Ziang Niu , Zhimei Ren

Computation of sample size is important when designing clinical trials. The presence of competing risks makes the design of clinical trials with time-to-event endpoints cumbersome. A model based on the subdistribution hazard ratio (SHR) is…

Methodology · Statistics 2023-11-22 Xiang Geng , Zhaojin Li , Chengfeng Zhang , Yanjie Wang , Haoning Shen , Zhiheng Huang , Yawen Hou , Zheng Chen

A non trivial problem that arises in several applications is the estimation of the mean of a truncated normal distribution. In this paper, an iterative deterministic scheme for approximating this mean is proposed. It has been inspired from…

This work considers design of Bayesian reliability acceptance sampling plan (RASP) under hybrid censored life test for the products sold under optional warranty. The consumer and manufacturer agree on a common lifetime distribution of the…

Applications · Statistics 2024-02-15 Rathin Das , Biswabrata Pradhan

Several methods in survival analysis are based on the proportional hazards assumption. However, this assumption is very restrictive and often not justifiable in practice. Therefore, effect estimands that do not rely on the proportional…

Methodology · Statistics 2024-03-20 Merle Munko , Marc Ditzhaus , Dennis Dobler , Jon Genuneit

We propose a sequential design method aiming at the estimation of an extreme quantile based on a sample of dichotomic data corresponding to peaks over a given threshold. This study is motivated by an industrial challenge in material…

Methodology · Statistics 2020-04-06 Michel Broniatowski , Emilie Miranda

Many modern products exhibit high reliability under normal operating conditions. Conducting life tests under these conditions may result in very few observed failures, insufficient for accurate inferences. Instead, accelerated life tests…

Applications · Statistics 2024-09-25 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

We develop two new classes of tests for the Weibull distribution based on Stein's method. The proposed tests are applied in the full sample case as well as in the framework of random right censoring. We investigate the finite sample…

Methodology · Statistics 2021-05-20 E Bothma , JS Allison , IJH Visagie

To examine the effect of exponential, Weibull and Gompertz distributions on sample size determination for superiority trials (STs) or non-inferiority trials (NTs) with time-to-event data, we present two sample size formulas for STs or NTs…

Applications · Statistics 2021-06-22 Dong Han , Yawen Hou , Zheng Chen

Adaptive experiment designs can dramatically improve statistical efficiency in randomized trials, but they also complicate statistical inference. For example, it is now well known that the sample mean is biased in adaptive trials.…

Machine Learning · Statistics 2021-02-16 Vitor Hadad , David A. Hirshberg , Ruohan Zhan , Stefan Wager , Susan Athey

While the inverse probability of treatment weighting (IPTW) is a commonly used approach for treatment comparisons in observational data, the resulting estimates may be subject to bias and excessively large variance when there is lack of…

Methodology · Statistics 2024-02-13 Zhiqiang Cao , Lama Ghazi , Claudia Mastrogiacomo , Laura Forastiere , F. Perry Wilson , Fan Li

Consider a population consisting of clusters of sampling units, evolving temporally, spatially, or according to other dynamics. We wish to monitor the evolution of its means, medians, or other parameters. For administrative convenience and…

Methodology · Statistics 2020-04-30 Jiahua Chen , Yukun Liu , James Zidek

The Kumaraswamy Inverse Weibull distribution has the ability to model failure rates that have unimodal shapes and are quite common in reliability and biological studies. The three-parameter Kumaraswamy Inverse Weibull distribution with…

Methodology · Statistics 2015-05-21 Felipe R. S. de Gusmão , Vera L. D. Tomazella , Ricardo S. Ehlers

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…

Other Statistics · Statistics 2020-04-07 Mohammad Kazemi , Mina Azizpour