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Statistical inference about the shape parameter of the Weibull distribution

โœ Scribed by Zhenmin Chen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
256 KB
Volume
36
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

This article discusses exact confidence intervals and exact statistical tests about the shape parameter of a Weibull distribution. There are some existing approaches for obtaining exact confidence intervals of the shape parameter based on BLUEs, BLIEs or MLEs of the parameters. A conditional technique was proposed by Lawless. The new method proposed in this paper uses less tables than the methods using BLUEs or BLIEs. The calculation for the critical values of statistical tests is simpler than the method using MLEs and the conditional method.

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โœ Hongzhu Qiao; Chris P. Tsokos ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 516 KB

Newton-Raphson's method plays a fundamental role in the maximum likelihood estimation of the two parameters of the Weibull probability distribution. It is well known that the method depends on the initial point of the iterative process and the iteration does not always converge. In the present art