Document Type
Article
Publication Date
2019
Publisher
International Scientific Research Publications
Source Publication
Journal of Nonlinear Sciences and Application
Source ISSN
2008-1898
Original Item ID
DOI: 10.22436/jnsa.012.05.05
Abstract
The goal of this work is to introduce a new family of continuous distributions with a strong physical application. Some statistical properties are derived, and certain useful characterizations of the proposed family 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.
Recommended Citation
Aboulemagd, T. H.M.; Hamed, Mohammed S.; Hamedani, Gholamhossein; Ali, M. M.; Goual, Hafida; Korkmaz, Mustafa Ç.; and Yousof, Haitham M., "The Zero Truncated Poisson Burr X Family of Distributions with Properties, Characterizations, Applications, and Validation Test" (2019). Mathematical and Statistical Science Faculty Research and Publications. 122.
https://epublications.marquette.edu/math_fac/122
Comments
Published version. Journal of Nonlinear Sciences and Applications, Vol. 12, No. 5 (2019): 314-336. DOI. © 2019 International Scientific Research Publications. Used with permission.