A unified confidence interval for reliability-related quantities of two-parameter Weibull distribution

DOI10.1080/00949650701227452zbMath1123.62074OpenAlexW2129752573MaRDI QIDQ5425730

Zhenlin Yang, Min Xie, Augustine C. M. Wong

Publication date: 14 November 2007

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949650701227452

zbMATH Keywords

tablesreliabilitypercentiletype II censoringmean-time-to-failureanalytical adjustmentWeibull-to-exponential transformation

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Monte Carlo methods (65C05) Reliability and life testing (62N05)

Related Items (3)

Lower confidence limit for reliability based on grouped data using a quantile-filling algorithm ⋮ A comparison of different least-squares methods for reliability of Weibull distribution based on right censored data ⋮ An algorithm to construct Monte Carlo confidence intervals for an arbitrary function of probability distribution parameters

Cites Work

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• Statistical inference about the shape parameter of the Weibull distribution
• Joint estimation for the parameters of Weibull distribution
• Simple Approximate Distributional Results for Confidence and Tolerance Limits for the Weibull Distribution Based on Maximum Likelihood Estimators
• Construction of Tolerance Bounds for the Extreme-Value and Weibull Distributions
• Weibull Models
• Exact sample size determination in a weibull test plan when there is time censoring
• Estimation of confidence intervals of quantiles for the Weibull distribution

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