A New Compound Fréchet Distribution for Modeling Breaking Stress and Strengths Data | [Pakistan Journal of Statistics and Operation Research • 2019]

Author(s):

1. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

2. Nadeem Shafique Butt: Department of Family and Community Medicine King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia.

3. Refah Mohammed Alotaibi: Mathematical Sciences Department, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

4. Rezk H: Mathematical Sciences Department, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia and Department of Statistics, Al-Azhar University, Cairo, Egypt.

5. Ghadah A. Alomani: Mathematical Sciences Department, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

6. Mohamed Ibrahim: Department of Applied Statistics and Insurance, Faculty of Commerce, Damietta University, Egypt

Abstract:

A new useful version of the Fréchet model is introduced and studied. Some of its properties are derived. The method of maximum likelihood is used for estimating the unknown parameter via two real data applications. The new version is much better than other important competitive Fréchet models in modeling two real data sets.

Page(s): 1017-1035

DOI: DOI not available

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

Keywords:

Generating Function , maximum likelihood , Fréchet distribution , Strengths Data , ZeroTruncated Poisson Distribution , Breaking Stress

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