Please use this identifier to cite or link to this item: https://doi.org/10.1080/00949650701227452
Title: A unified confidence interval for reliability-related quantities of two-parameter Weibull distribution
Authors: Yang, Z.
Xie, M. 
Wong, A.C.M.
Keywords: Analytical adjustment
Confidence interval
Mean-time-to-failure
Percentile
Reliability
Type II censoring
Weibull-to-exponential transformation
Issue Date: Jan-2007
Source: Yang, Z., Xie, M., Wong, A.C.M. (2007-01). A unified confidence interval for reliability-related quantities of two-parameter Weibull distribution. Journal of Statistical Computation and Simulation 77 (5) : 365-378. ScholarBank@NUS Repository. https://doi.org/10.1080/00949650701227452
Abstract: Statistical inference methods for the Weibull parameters and their functions usually depend on extensive tables, and hence are rather inconvenient for the practical applications. In this paper, we propose a general method for constructing confidence intervals for the Weibull parameters and their functions, which eliminates the need for the extensive tables. The method is applied to obtain confidence intervals for the scale parameter, the mean-time-to-failure, the percentile function, and the reliability function. Monte-Carlo simulation shows that these intervals possess excellent finite sample properties, having coverage probabilities very close to their nominal levels, irrespective of the sample size and the degree of censorship.
Source Title: Journal of Statistical Computation and Simulation
URI: http://scholarbank.nus.edu.sg/handle/10635/62984
ISSN: 00949655
DOI: 10.1080/00949650701227452
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