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 |