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Linear Estimation of the Weibull Parameters
Technometrics, 1971In 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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Weibull-Parameter einiger Maschinenelemente
1990Das Ausfallverhalten von Bauelementen last sich durch entsprechend umfangreiche statistische Auswertungen recht genau ermitteln. Die Auswertungen konnen dabei mit den Ergebnissen eigener Versuche, mit den Daten von Schadensstatistiken oder mit Angaben aus der Literatur erfolgen.
Bernd Bertsche, Gisbert Lechner
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Multiple Comparison for Weibull Parameters
IEEE Transactions on Reliability, 1975Two problems are considered: 1) testing the hypothesis that the shape parameters of k 2-parameter Weibull populations are equal, given a sample of n observations censored (Type II) at r failures, from each population; and 2) Under the assumption of equal shape parameters, the problem of testing the equality of the p-th percentiles. Test statistics (for
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Robust Estimators of the 3-Parameter Weibull Distribution
IEEE Transactions on Reliability, 1985Robust 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, 1982This 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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Comparison of Methods to Find the Weibull Stress Parameters
Volume 3: Structures, Safety, and Reliability, 2018The Weibull stress (Beremin, 1983) relates the local first principal stress and plastically strained volume to the probability of fracture. It requires two constants (m, σu) as input, which are generally regarded as material parameters. As the Beremin approach is used in the background to structural analysis rules, the Beremin parameters are now being ...
Coppejans, O.J., Walters, C.L.
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Robust and explicit estimators of Weibull parameters
2011The Weibull distribution plays a central role in modeling duration data. Its maximum likelihood estimator is very sensitive to outliers. We propose three robust and explicit Weibull parameter estimators: the quantile least squares, the repeated median and the median/Qn estimator.
Croux, Christophe +2 more
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Monitoring reliability for a three-parameter Weibull distribution
Reliability Engineering & System Safety, 2009Control charts are widely used to monitor production processes in the manufacturing industry and are also useful for monitoring reliability. A method to monitor reliability has recently been proposed when the distributions of inter-failure times are exponential and Weibull with known parameters.
Baris Sürücü, Hakan S. Sazak
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Inference on the Weibull Location Parameter
Journal of Quality Technology, 1998A simple method is proposed for testing the 2-parameter Weibull distribution against the 3-parameter alternative. It is based on the ratio of the maximum likelihood estimate of the shape parameter calculated with the observations censored at the r1th or..
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Parameter estimation in geometric process with Weibull distribution
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halil Aydogdu +2 more
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