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Weibull distributions when the shape parameter is defined
Computational Statistics & Data Analysis, 2001The Weibull distribution, depending on parameters of location, scale, and shape, is often useful as a model for fracture data sets. If the location parameter is to be estimated then we have shown that maximum likelihood methods are not recommended. In the data set considered here the shape parameter is known to lie between 2 and 3 or so.
Bowman, K. O., Shenton, L. R.
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On estimation in weibull distributions with random scale parameters
Naval Research Logistics Quarterly, 1969AbstractWork by the present authors on life distributions derived from stochastic hazard functions [4] is related to certain articles that have appeared in this journal. This relationship is illustrated. The emphasis of this article is upon problems of parameter estimation.
Harris, Carl M., Singpurwalla, Nozer D.
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Estimation of Weibull Parameters With Competing-Mode Censoring
IEEE Transactions on Reliability, 1976Existing results are reviewed for the maximum likelihood (ML) estimation of the parameters of a 2-parameter Weibull life distribution for the case where the data are censored by failures due to an arbitrary number of independent 2-parameter Weibull failure modes.
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A Nomogram Connecting the Parameters of Weibull’s Distribution with Probabilities
Theory of Probability & Its Applications, 1964The paper contains a compound nomogram designed for the determination of the parameter m of Weibull’s distribution by statistical values of the mean $a_x $ and the standard deviation $\sigma _x $.Besides the nomogram is useful for the determination of $P(X < x)$ for Weibull’s distribution by the parameters m, $a_x $ and x or the quantity x by $P(X < x)$
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ON THE CHARACTERIZATION AND APPLICATIONS OF A THREE-PARAMETER IMPROVED WEIBULL-WEIBULL DISTRIBUTION
Parametric modeling of complex lifetime data characterized with non-monotone hazard rate (NMHR) has in recent years attract the interest of many researchers and practitioners. The three-parameter improved Weibull-Weibull distribution introduced in 2022 has demonstrated a better NMHR modeling potential in the analysis of several failure times identifiedA.S. Mohammed +4 more
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A Review of Parameter Estimation Methods of the Three-Parameter Weibull Distribution
2023 9th International Symposium on System Security, Safety, and Reliability (ISSSR), 2023Xiaoyu Yang +3 more
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A Mixed Method for Estimating Parameters of Three-Parameter Weibull Distribution
2023 9th International Symposium on System Security, Safety, and Reliability (ISSSR), 2023Renyan Jiang +4 more
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Modifications of the Weibull distribution: A review
Reliability Engineering and System Safety, 2014Saralees Nadarajah
exaly
The Discrete Weibull Distribution
IEEE Transactions on Reliability, 1975Toshio Nakagawa, Shunji Osaki
exaly