أعضاء هيئة التدريس - جامعة بنها
The zero truncated Poisson Burr X family of distributions with properties, characterizations, applications, and validation test
Journal of Nonlinear Sciences and Applications (JNSA) • 2019
معلومات البحث
المؤلفون
Mohamed Sewalim Hamed
الكلمات المفتاحية
Validation test, maximum likelihood estimation, generating function, moments, zero truncated Poisson
المجلة العلمية
Journal of Nonlinear Sciences and Applications (JNSA)
الناشر
ISR-Publications
المجلد
12
العدد
5
الصفحات
314-336
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
The goal of this work is to introduce a new family of continuous distributions with a strong physical applications. Some
statistical properties are derived, and certain useful characterizations of the proposed family of distributions are presented. Five
applications are provided to illustrate the importance of the new family. A modified goodness-of- fit test for the new family
in complete data case are investigated via two examples. We propose, as a first step, the construction of Nikulin-Rao-Robson
statistic based on chi-squared fit tests for the new family in the case of complete data. The new test is based on the Nikulin-Rao-
Robson statistic separately proposed by [M. S. Nikulin, Theory Probab. Appl., 18 (1974), 559–568] and [K. C. Rao, B. S. Robson,
Comm. Statist., 3 (1974), 1139–1153]. As a second step, an application to real data has been proposed to show the applicability
of the proposed test.
statistical properties are derived, and certain useful characterizations of the proposed family of distributions are presented. Five
applications are provided to illustrate the importance of the new family. A modified goodness-of- fit test for the new family
in complete data case are investigated via two examples. We propose, as a first step, the construction of Nikulin-Rao-Robson
statistic based on chi-squared fit tests for the new family in the case of complete data. The new test is based on the Nikulin-Rao-
Robson statistic separately proposed by [M. S. Nikulin, Theory Probab. Appl., 18 (1974), 559–568] and [K. C. Rao, B. S. Robson,
Comm. Statist., 3 (1974), 1139–1153]. As a second step, an application to real data has been proposed to show the applicability
of the proposed test.