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Parameter estimation of the Weibull probability distribution

โœ Scribed by Hongzhu Qiao; Chris P. Tsokos

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
516 KB
Volume
37
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

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 article, we introduce an effective iterative procedure for estimating the subject parameter. Our proposed method always converges and does not depend on the initial point of the iteration. It will also be shown by numerical examples that our method converges faster than the popular Newton-Raphson method.

๐Ÿ“œ SIMILAR VOLUMES

Two-step estimators of the scale paramet
Two-step estimators of the scale parameter of the Weibull distribution
โœ Richard M. Engeman; Thomas J. Keefe ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 302 KB

An efficient two-step method of estimating the scale parameter of the Weibull distribution is presented and compared to other estimation procedures. The shape parameter is obtained by a procedure other than maximum likelihood and then substituted into the maximum likelihood formula for the scale par