Estimation and prediction for flexible Weibull distribution based on progressive type II censored data
type: Item
instance of: scholarly article
title: Estimation and prediction for flexible Weibull distribution based on progressive type II censored data
zbMATH Open document ID: 1452.62712
author: R. R. Abu Awwad
author: G. K. Abufoudeh
author: Omar M. Bdair
author: Mohammad Fuad Mohammad Naser
published in: Communications in Mathematics and Statistics
publication date: 2020-10-12T00:00:00Z
review text: The authors consider the two-parameter flexible Weibull distribution with the cumulative distribution function: \[F\left(x|\alpha,\lambda \right) = 1- e^{-e^{\left( \alpha x - \frac{\lambda}{x}\right) }}, \quad x>0,\; \alpha,\lambda>0.\] The authors' summary: ``In this work, we consider the problem of estimating the parameters and predicting the unobserved or removed ordered data for the progressive type II censored flexible Weibull sample. Frequentist and Bayesian analyses are adopted for conducting the estimation and prediction problems. The likelihood method as well as the Bayesian sampling techniques is applied for the inference problems. The point predictors and credible intervals of unobserved data based on an informative set of data are computed. Markov Chain Monte Carlo samples are performed to compare the so-obtained methods, and one real data set is analyzed for illustrative purposes.''
reviewed by: Wiesław Dziubdziela
Mathematics Subject Classification ID: 62N02
Mathematics Subject Classification ID: 62N01
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 62M20
zbMATH DE Number: 7259239
zbMATH Keywords: flexible Weibull distribution
zbMATH Keywords: progressive censoring data
zbMATH Keywords: Bayes estimation
zbMATH Keywords: Bayes prediction
zbMATH Keywords: Gibbs sampling
zbMATH Keywords: simulation
MaRDI profile type: Publication
full work available at URL: s40304-018-00173-0
OpenAlex ID: W2946288910
cites work: How to Identify a Bathtub Hazard Rate
cites work: Predicting observables from a general class of distributions
cites work: Modeling human mortality using mixtures of bathtub shaped failure distributions
cites work: Monte Carlo methods in Bayesian computation
cites work: Progressively Censored Samples in Life Testing
cites work: Numerical Methods in Scientific Computing, Volume I
cites work: Order Statistics
cites work: Monte Carlo sampling methods using Markov chains and their applications
cites work: Q4839745
cites work: Q4214845
cites work: Maximum likelihood prediction
cites work: Bayesian estimation for the exponentiated Weibull model under type II progressive censoring
cites work: Bayesian inference and prediction of order statistics for a type-II censored Weibull distribution
cites work: Q3327567
cites work: Q4219536
cites work: Efficient sampling methods for truncated multivariate normal and Student-\(t\) distributions subject to linear inequality constraints
cites work: Equation of State Calculations by Fast Computing Machines
cites work: Q5850076
cites work: Bayesian Estimations from the Two-Parameter Bathtub-Shaped Lifetime Distribution Based on Record Values
cites work: Bayesian estimation and prediction for flexible Weibull model under type-II censoring scheme
DOI: 10.1007/S40304-018-00173-0
description: scientific article; zbMATH DE number 7259239