학술논문

New statistical inference for the Weibull distribution
Document Type
article
Source
Tutorials in Quantitative Methods for Psychology, Vol 11, Iss 3, Pp 139-147 (2015)
Subject
Weibull distribution
Gamma distribution
Dirichlet distribution
Rejection region
Power
Psychology
BF1-990
Language
English
French
ISSN
1913-4126
Abstract
Weibull distribution has become a popular tool for modeling life data and improving growth in the field of reliability. The successful application of Weibull distribution to real data depends on the statistical power of hypotheses tests to a large extent. Here we propose two methods to test the shape parameter of a two-parameterWeibull distribution, and its confidence interval is considered. Simulation studies show that coverage of the confidence intervals is close to its desired confidence level, and the two proposed methods exhibited satisfactory performance. A real example employing a Boeing air-conditioning system development study is presented to illustrate the proposed methods.