The New Exponentiated T-X Class of Distributions: Properties, Characterizations and Application | [Pakistan Journal of Statistics and Operation Research • 2019]

Author(s):

1. Zubair Ahmad: Department of Statistics, Yazd University, P.O. Box 89175-741, Yazd, Iran

2. Clement Boateng Ampadu: 31 Carrolton Road, Boston, MA 02132-6303, USA

3. G.G. Hamedani: Department of Mathematical and Statistical Sciences Marquette University Milwaukee, WI 53201-1881, USA

4. Farrukh Jamal: Govt. S.A P/G College, Bahawalpur, Pakistan

5. Muhammad Arslan Nasir: Govt. S.E College, Bahawalpur, Pakistan

Abstract:

In this article, we introduce a new class of distributions called the New Exponentiated T-X family of distributions. A special sub-model of the proposed family, called a new exponentiated exponential-Weibull is considered in detail. Some structural properties associated with this new class of distributions are obtained. Certain characterizations of the proposed family are presented. Maximum likelihood estimators of the model parameters are obtained and Monte Carlo simulation study is conducted to evaluate the performances of these estimators. Finally, the importance of the new family is illustrated empirically via a real-life application.

Page(s): 941-962

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 4, Year: 2019

Keywords:

Exponentiated family , characterizations , TX family of distributions , New TX family of distributions , Exponentiated distribution

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