Academic Journal

On the Discrete Weibull Marshall–Olkin Family of Distributions: Properties, Characterizations, and Applications

التفاصيل البيبلوغرافية
العنوان: On the Discrete Weibull Marshall–Olkin Family of Distributions: Properties, Characterizations, and Applications
المؤلفون: Jiju Gillariose, Oluwafemi Samson Balogun, Ehab M. Almetwally, Rehan Ahmad Khan Sherwani, Farrukh Jamal, Joshin Joseph
المصدر: Axioms; Volume 10; Issue 4; Pages: 287
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2021
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: confidence interval, discrete distributions, generalized family, Marshall–Olkin family, estimation, Weibull distribution
الوصف: In this article, we introduce a new flexible discrete family of distributions, which accommodates wide collection of monotone failure rates. A sub-model of geometric distribution or a discrete generalization of the exponential model is proposed as a special case of the derived family. Besides, we point out a comprehensive record of some of its mathematical properties. Two distinct estimation methods for parameters estimation and two different methods for constructing confidence intervals are explored for the proposed distribution. In addition, three extensive Monte Carlo simulations studies are conducted to assess the advantages between estimation methods. Finally, the utility of the new model is embellished by dint of two real datasets.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
Relation: https://dx.doi.org/10.3390/axioms10040287
DOI: 10.3390/axioms10040287
الاتاحة: https://doi.org/10.3390/axioms10040287
Rights: https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.E5C6DAAD
قاعدة البيانات: BASE