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Related papers: A Model for Censored Reliability Data with Two Dep…

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This paper extends doubly robust censoring unbiased transformations to a broad class of censored data structures under the assumption of coarsening at random and positivity. This includes the classic survival and competing risks setting,…

Methodology · Statistics 2024-11-08 Oliver Lunding Sandqvist

Usually, methods evaluating system reliability require engineers to quantify the reliability of each of the system components. For series and parallel systems, there are some options to handle the estimation of each component's reliability.…

Methodology · Statistics 2018-05-29 Agatha Rodrigues , Carlos Alberto Pereira , Adriano Polpo

This study aims to predict failure times for some units in some lifetime experiments. In some practical situations, the experimenter may not be able to register the failure times of all units during the experiment. Recently, this situation…

Statistics Theory · Mathematics 2023-04-13 Mahmoud Mansour , Mohamed Aboshady

In reliability engineering, data about failure events is often scarce. To arrive at meaningful estimates for the reliability of a system, it is therefore often necessary to also include expert information in the analysis, which is…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

In this paper, we considered the problem of dependent censoring models with a positive probability that the times of failure are equal. In this context, we proposed to consider the Marshall-Olkin type model and studied some properties of…

Statistics Theory · Mathematics 2023-09-08 Mikael Escobar-Bach , Salima Helali

In this paper we study bayesian analysis of Modified Weibull distribution under progressively censored competing risk model. This study is made for progressively censored data. We use deterministic scan Gibbs sampling combined with slice…

Computation · Statistics 2016-05-24 Arabin Kumar Dey , Abhilash Jha , Sanku Dey

This paper is speculated to propose a class of shrinkage estimators for shape parameter beta in failure censored samples from two-parameter Weibull distribution when some 'apriori' or guessed interval containing the parameter beta is…

Statistics Theory · Mathematics 2007-06-13 Housila P. Singh , Sharad Saxena , Jack Allen , Sarjinder Singh , Florentin Smarandache

Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world…

Applications · Statistics 2018-04-30 Nazih Benoumechiara , Bertrand Michel , Philippe Saint-Pierre , Nicolas Bousquet

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,…

Statistics Theory · Mathematics 2019-11-12 Yasin Asar , R. Arabi Belaghi

The Weibull distribution, with shape parameter $k>0$ and scale parameter $\lambda>0$, is one of the most popular parametric distributions in survival analysis with complete or censored data. Although inference of the parameters of the…

Methodology · Statistics 2023-03-20 Enes Makalic , Daniel F. Schmidt

Although the independent censoring assumption is commonly used in survival analysis, it can be violated when the censoring time is related to the survival time, which often happens in many practical applications. To address this issue, we…

Methodology · Statistics 2024-08-28 Huazhen Yu , Lixin Zhang

Inferential challenges that arise when data are censored have been extensively studied under the classical frameworks. In this paper, we provide an alternative generalized inferential model approach whose output is a data-dependent…

Methodology · Statistics 2021-11-16 Joyce Cahoon , Ryan Martin

In this paper, we have investigated the reliability of a K-out-of-N system for the components following Weibull distribution based on the generalized progressive hybrid censored data. We have obtained the maximum likelihood estimates (MLEs)…

Methodology · Statistics 2022-08-02 Subhankar Dutta , Suchandan Kayal

Motivated by a real failure dataset in a two-dimensional context, this paper presents an extension of the Markov modulated Poisson process (MMPP) to two dimensions. The one-dimensional MMPP has been proposed for the modeling of dependent…

Methodology · Statistics 2024-01-30 Yoel G. Yera , Rosa E. Lillo , Bo F. Nielsen , Pepa Ramírez-Cobo , Fabrizio Ruggeri

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

Recently, Lee and Cha (2015, `On two generalized classes of discrete bivariate distributions', {\it American Statistician}, 221 - 230) proposed two general classes of discrete bivariate distributions. They have discussed some general…

Methodology · Statistics 2018-05-01 Debasis Kundu , Vahid Nekoukhou

This article introduces methods for constructing prediction bounds or intervals for the number of future failures from heterogeneous reliability field data. We focus on within-sample prediction where early data from a failure-time process…

Methodology · Statistics 2021-04-13 Colin Lewis-Beck , Qinglong Tian , William Q. Meeker

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…

Statistics Theory · Mathematics 2024-03-11 Subarna Bhattacharjee , Aninda K. Nanda , Subhasree Patra

The Weibull distribution is one of the most used tools in reliability analysis. In this paper, assuming a Bayesian approach, we propose necessary and sufficient conditions to verify when improper priors lead to proper posteriors for the…

Statistics Theory · Mathematics 2020-05-19 Eduardo Ramos , Pedro L. Ramos

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…

Applications · Statistics 2023-04-17 Michael Potter , Benny Cheng