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Chamunorwa, Simbarashe, Makubate, Boikanyo, Oluyede, Broderick, Chipepa, Fastel. (1399). The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications. کاوش‌نامه زبان و ادبیات فارسی, 2(1), 101-120. doi: 10.22034/jsmta.2021.2303
Simbarashe Chamunorwa; Boikanyo Makubate; Broderick Oluyede; Fastel Chipepa. "The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications". کاوش‌نامه زبان و ادبیات فارسی, 2, 1, 1399, 101-120. doi: 10.22034/jsmta.2021.2303
Chamunorwa, Simbarashe, Makubate, Boikanyo, Oluyede, Broderick, Chipepa, Fastel. (1399). 'The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications', کاوش‌نامه زبان و ادبیات فارسی, 2(1), pp. 101-120. doi: 10.22034/jsmta.2021.2303
Chamunorwa, Simbarashe, Makubate, Boikanyo, Oluyede, Broderick, Chipepa, Fastel. The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications. کاوش‌نامه زبان و ادبیات فارسی, 1399; 2(1): 101-120. doi: 10.22034/jsmta.2021.2303

The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications

Journal of Statistical Modelling: Theory and Applications
دوره 2، شماره 1، فروردین 2021، صفحه 101-120    اصل مقاله (236.7 K)
نوع مقاله: Original Scientific Paper
شناسه دیجیتال (DOI): 10.22034/jsmta.2021.2303
نویسندگان
Simbarashe Chamunorwa* 1؛ Boikanyo Makubate2؛ Broderick Oluyede2؛ Fastel Chipepa3
1Mathematics and Statistical Sciences, Science and Technology, Botswana International University of Science and Technology, Palapye, BW.
2Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana
3Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology
چکیده
We develop a generalized distribution, namely, exponentiated half logistic log-logistic Weibull distribution. Several structural properties of the distribution including expansion of density, distribution of order statistics, Rényi entropy, moments, probability weighted moments, quantile function, generating function, and maximum likelihood estimates were derived. A simulation study to examine the consistency of the maximum likelihood estimates was conducted. Finally, real data examples are presented to illustrate the applicability and usefulness of the proposed model.
کلیدواژه‌ها
Generalized distribution؛ Half logistic distribution؛ Log-logistic distribution؛ Maximum likelihood estimation؛ Weibull distribution
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