Habib, M., Bargal, A. (1985). Efficiency of Kimball's Linearized Maximum Likelihood Estimators for the Two Parameter Weibull and Extreme Value Distributions. test, 29(2), 94-100. doi: 10.21608/esju.1985.316600
M. G. Habib; A. I. Bargal. "Efficiency of Kimball's Linearized Maximum Likelihood Estimators for the Two Parameter Weibull and Extreme Value Distributions". test, 29, 2, 1985, 94-100. doi: 10.21608/esju.1985.316600
Habib, M., Bargal, A. (1985). 'Efficiency of Kimball's Linearized Maximum Likelihood Estimators for the Two Parameter Weibull and Extreme Value Distributions', test, 29(2), pp. 94-100. doi: 10.21608/esju.1985.316600
Habib, M., Bargal, A. Efficiency of Kimball's Linearized Maximum Likelihood Estimators for the Two Parameter Weibull and Extreme Value Distributions. test, 1985; 29(2): 94-100. doi: 10.21608/esju.1985.316600

Efficiency of Kimball's Linearized Maximum Likelihood Estimators for the Two Parameter Weibull and Extreme Value Distributions

The Egyptian Statistical Journal
Article 6, Volume 29, Issue 2, December 1985, Pages 94-100
Document Type: Original Article
DOI: 10.21608/esju.1985.316600
Authors
M. G. Habib; A. I. Bargal
Abstract
Asymptotic efficiencies, of Kimball's linearized maximum likelihood estimator β ̂ for the scale parameter of the Type I extreme value distribution are evaluated for Type II censored samples. The means and expected squared errors of β ̂ are compared with those of the best linear unbiased order statistic estimator and the asymptotic efficient linear order estimator based on a continuous weighting function for sample sizes n=10 and 20. Asymptotic efficiencies of an approximate maximum likelihood estimator α̂ for the location parameter α of the extreme value distribution are also evaluated.
Keywords
Asymptotic Efficiency; Censored Samples; Extreme Value Distribution; Kimball's Linearized Maximum Likelihood Estimators; Order Statistic Estimator; Weibull Distribution
Statistics
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