Staff Members - Benha University
The zero truncated Poisson Burr X family of distributions with properties, characterizations, applications, and validation test
Journal of Nonlinear Sciences and Applications (JNSA) • 2019
Publication Information
Authors
Mohamed Sewalim Hamed
Keywords
Validation test, maximum likelihood estimation, generating function, moments, zero truncated Poisson
Journal
Journal of Nonlinear Sciences and Applications (JNSA)
Publisher
ISR-Publications
Volume
12
Issue
5
Pages
314-336
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
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.