Advances and Applications in Statistics
Volume 61, Issue 2, Pages 193 - 216
(April 2020) http://dx.doi.org/10.17654/AS061020193 |
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STATISTICAL INFERENCE OF GENERALIZED LOGISTIC DISTRIBUTION OF TYPE I AND ITS PROPERTIES
Majdah M. Badr and Arwa A. Alhijji
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Abstract: In this paper, the generalized logistic distribution is discussed; as the name for several different families of probability distributions. Therefore, some statistical properties for it are studied. Estimators for the unknown parameters of the generalized logistic distribution are derived using different methods of estimation, among them maximum likelihood, efficient evaluation of the probability density function and the cumulative distribution function and moments. Also, the relationship between the generalized logistic distribution and other distributions are presented. Evaluating the performance of the estimators of the parameters is considered through some measurements of accuracy via Monte Carlo simulation. |
Keywords and phrases: generalized logistic, skewness, maximum likelihood estimator, moment estimator, least square estimators, weighted least square estimator, percentile estimators.
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