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Percentiles of Pooled Estimates of Weibull Parameters

IEEE Transactions on Reliability, 1983
In fatigue testing of metals or composite materials under different levels of stress, the underlying distributions are often assumed to be Weibull with a common shape parameter. The problems of estimation and hypothesis tests of the common shape parameter and scale parameters in the Weibull distributions are considered in this paper. The results are: 1)
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Inference of sampling on Weibull parameter estimation

IEEE Transactions on Dielectrics and Electrical Insulation, 1996
The data usable to evaluate the confidence bounds for the Weibull parameter estimates is provided in broad range of values, in the cases of the "mean squares", "maximum likelihood" and "generalized maximum likelihood" methods. The way to use these results in practice are described in detail.
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On testimating the weibull shape parameter

Communications in Statistics - Simulation and Computation, 1990
A well-known estimator for the shape parameter of a two-parameter Weibull distribution from a failure-censored sample involves a preliminary test of aa null hypothesis concerning the parameter. Efficiency of the resulting testimator varies with the chosen level of significance of the test.
Nimai Kumar Chandra, Arijit Chaudhuri
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Testing the two parameter weibull distribution

Communications in Statistics - Theory and Methods, 1981
We investigate the power properties of Tiku’s 1980) goodness-of-fit statistics (defined in terms of the sample spacings) for testing the important Weibull distribution and show that these statistics are, on the whole, more powerful than their prominent competitors.
M.L. Tiku, M. Singh
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Parameter estimation for mixed-Weibull distribution

Annual Reliability and Maintainability Symposium. 1998 Proceedings. International Symposium on Product Quality and Integrity, 2002
In reliability engineering, it is known that electrical and mechanical equipment usually have more than one failure mode or cause. The mixed Weibull distribution is an appropriate distribution to use in modeling the lifetimes of the units that have more than one failure cause.
D.B. Kececioglu, null Wendai Wang
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Parameter Estimations of Inverse Weibull Distribution

Advanced Materials Research, 2011
under entropy loss function, the E-Bayes estimation and empirical bayes estimation to the parameter of inverse Weibull distribution used conjugate prior are discussed. And we prove the empirical bayes estimation is asymptotically optimal. At last, the MSE of the estimations are compared based on Monte Carlo simulation study.
Wei An Yan   +3 more
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Some Percentile Estimators for Weibull Parameters

Technometrics, 1967
A percentile estimator for the shape parameter of the Weibull distribution, based on the 17th and 97th sample percentiles, is proposed which is asymptotically about 66% efficient when compared with the MLE (maximum likelihood estimator). A two-observation percentile estimator, based on the 40th and 82nd sample percentiles, for the scale parameter when ...
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Linear Estimation of the Weibull Parameters

Technometrics, 1971
In this paper we consider the method of Johns and Lieberman (1966) for estimating the shape and the log of the scale parameters of the two parameter Weibull distribution. The estimates are linear, asymptotically jointly normal and efficient. The main thrust of the paper is that unlike most linear estimating procedures of the Weibull parameters, that ...
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Robust Estimators of the 3-Parameter Weibull Distribution

IEEE Transactions on Reliability, 1985
Robust estimators of the location, scale, and shape parameters of the Weibull distribution are proposed. The estimators are easy to calculate and have few of the disadvantages associated with the maximum likelihood estimators. Their rms-errors are considerably smaller than those of the estimators available in the literature.
Adatia, A., Chan, L. K.
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Estimation of Mixed Weibull Parameters in Life Testing

IEEE Transactions on Reliability, 1982
This paper deals with estimating parameters from a mixture of two Weibull distributions. The weighted least-squares method is used to estimate the parameters of the mixed model when data are grouped and censored. Simulation study of the variations of the weighted least-squares estimator has been carried out.
Cheng, Smiley W., Fu, James C.
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