New statistical inference for the Weibull distribution
| Autor: | Yang Zhang, Zhen-hai Yang, Weibu Cheng, Qingnan Zhang, Xu Zhao |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Gamma distribution
Engineering Rejection region business.industry lcsh:BF1-990 Dirichlet distribution Statistical power Confidence interval Shape parameter Field (computer science) lcsh:Psychology Power Statistics Statistical inference Confidence distribution Weibull distribution business Reliability (statistics) |
| Zdroj: | Tutorials in Quantitative Methods for Psychology, Vol 11, Iss 3, Pp 139-147 (2015) |
| ISSN: | 2292-1354 |
| DOI: | 10.20982/tqmp.11.3.p139 |
| Popis: | 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-parameter Weibull 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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