Estimation of the two-parameter bathtub-shaped lifetime distribution with progressive censoring

2008 ◽  
Vol 35 (10) ◽  
pp. 1139-1150 ◽  
Author(s):  
Shuo-Jye Wu
Keyword(s):  
Lifetime Distribution ◽  
Progressive Censoring ◽  
Two Parameter

scholarly journals Parameter estimation for a two-parameter bathtub-shaped lifetime distribution

2012 ◽  
Vol 36 (11) ◽  
pp. 5380-5392 ◽  
Author(s):  
Ammar M. Sarhan ◽  
D.C. Hamilton ◽  
B. Smith
Keyword(s):  
Parameter Estimation ◽  
Lifetime Distribution ◽  
Two Parameter

A New Technique for Optimization of Product Acceptance Process in Terms of Misclassification Probability

2018 ◽  
pp. 1-32
Author(s):  
Nicholas A. Nechval ◽  
Konstantin N. Nechval
Keyword(s):  
Weibull Distribution ◽  
Optimization Technique ◽  
Parametric Uncertainty ◽  
Lifetime Distribution ◽  
Statistical Quality Control ◽  
Misclassification Probability ◽  
Distribution Parameters ◽  
A New Technique ◽  
Two Parameter

A product acceptance process is an inspecting one in statistical quality control or reliability tests, which are used to make decisions about accepting or rejecting lots of products to be submitted. This process is important for industrial and business purposes of quality management. To determine the optimal parameters of the product acceptance process under parametric uncertainty of underlying lifetime models (in terms of misclassification probability), a new optimization technique is proposed. The most popular lifetime distribution used in the field of product acceptance is a two-parameter Weibull distribution, with the assumption that the shape parameter is known. Such oversimplified assumptions can facilitate the follow-up analyses, but may overlook the fact that the lifetime distribution can significantly affect the estimation of the failure rate of a product. Therefore, the situations are also considered when both Weibull distribution parameters are unknown. An illustrative numerical example is given.

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