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Traditional step-stress accelerated life testing models assume that test units originate from a homogeneous population. Recently, Lu and Kateri (2025) proposed a heterogeneous cumulative exposure based SSALT model to account for the…

Methodology · Statistics 2026-05-21 Pranoy Palit , Ayan Pal , Kiran Prajapat

This paper deals with parameter estimation when the data are randomly right censored. The maximum likelihood estimates from censored samples are obtained by using the expectation-maximization (EM) and Monte Carlo EM (MCEM) algorithms. We…

Computation · Statistics 2012-03-20 Chanseok Park , Seong Beom Lee

The paper presents a comprehensive closed-form performance analysis framework for multihop communications over Weibull fading channels. The analyzed scheme consists basically of multiple regenerative relays with generalized high-order…

Information Theory · Computer Science 2018-02-21 Abdelaziz Soulimani , Mustapha Benjillali , Hatim Chergui , Daniel B. da Costa

We propose novel goodness-of-fit tests for the Weibull distribution with unknown parameters. These tests are based on an alternative characterizing representation of the Laplace transform related to the density approach in the context of…

Statistics Theory · Mathematics 2022-06-15 Bruno Ebner , Adrian Fischer , Norbert Henze , Celeste Mayer

During the recent years there was an increased interest in studying the performance of different types of control charts, under various distributional models for continuous proportions, such as percentages and rates. In this work we…

Methodology · Statistics 2025-02-05 Athanasios C. Rakitzis

Univariate Weibull distribution is a well-known lifetime distribution and has been widely used in reliability and survival analysis. In this paper, we introduce a new family of bivariate generalized Weibull (BGW) distributions, whose…

Methodology · Statistics 2024-08-29 Ashok Kumar Pathak , Mohd. Arshad , Qazi J. Azhad , Mukti Khetan , Arvind Pandey

Many products in engineering are highly reliable with large mean lifetimes to failure. Performing lifetests under normal operations conditions would thus require long experimentation times and high experimentation costs. Alternatively,…

Methodology · Statistics 2024-02-12 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

In this paper, we propose methods for the estimation of parameters for the three-parameter Reflected Weibull distribution. The Moment estimator , Maximum likelihood estimator and Location and Scale Parameters free maximum likelihood…

Other Statistics · Statistics 2019-05-01 Fateme Maleki Jebeli , Einolah Deiri

Finite mixture models have been widely used to model and analyze data from a heterogeneous populations. Moreover, data of this kind can be missing or subject to some upper and/or lower detection limits because of the restriction of…

The importance of the balance in inhibitory and excitatory couplings in the brain has increasingly been realized. Despite the key role played by inhibitory-excitatory couplings in the functioning of brain networks, the impact of a balanced…

Neurons and Cognition · Quantitative Biology 2015-06-18 Sarika Jalan , Sanjiv K. Dwivedi

The Weibull distribution is a very applicable model for the lifetime data. In this paper, we have investigated inference on the parameters of Weibull distribution based on record values. We first propose a simple and exact test and a…

Statistics Theory · Mathematics 2015-01-12 Ali Akbar Jafari , Hojatollah Zakerzadeh

In this article, motivated by biosurveillance and censoring sensor networks, we investigate the problem of distributed monitoring large-scale data streams where an undesired event may occur at some unknown time and affect only a few unknown…

Methodology · Statistics 2016-03-30 Kun Liu , Ruizhi Zhang , Yajun Mei

This paper focuses on the problem of the estimation of the cumulative hazard function of a distribution on a general complete separable metric space when the data points are subject to censoring by an arbitrary adapted random set. A problem…

Statistics Theory · Mathematics 2013-09-04 Alberto Carabarin Aguirre , B. Gail Ivanoff

This paper is devoted to study a new three- parameters model called the Exponential Flexible Weibull extension (EFWE) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including…

Statistics Theory · Mathematics 2016-05-27 Beih S. El-Desouky , Abdelfattah Mustafa , Shamsan AL-Garash

In pre-clinical and medical quality control, it is of interest to assess the stability of the process under monitoring or to validate a current observation using historical control data. Classically, this is done by the application of…

Applications · Statistics 2024-04-09 Max Menssen , Martina Dammann , Firas Fneish , David Ellenberger , Frank Schaarschmid

A multivariate control chart is designed to monitor process parameters of multiple correlated quality characteristics. Often data on multivariate processes are collected as individual observations, i.e. as vectors one at the time. Various…

Methodology · Statistics 2019-12-23 Jimoh Olawale Ajadi , Zezhong Wang , Inez Maria Zwetsloot

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

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…

Statistics Theory · Mathematics 2021-01-12 Hamida Talhi , Hiba Aiachi , Nadji Rahmania

We investigate the estimation of the extreme value index when the data are subject to random censorship. We prove, in a unified way, detailed asymptotic normality results for various estimators of the extreme value index and use these…

Statistics Theory · Mathematics 2008-12-18 John H. J. Einmahl , Amélie Fils-Villetard , Armelle Guillou

Handling missing values plays an important role in the analysis of survival data, especially, the ones marked by cure fraction. In this paper, we discuss the properties and implementation of stochastic approximations to the…

Methodology · Statistics 2021-07-22 Sandip Barui , Suvra Pal , Nutan Mishra , Katherine Davies
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