Author(s):
1. Hesham Reyad:
Department of Information Systems and Production Management Qassim University, Kingdom of Saudi Arabia
2. Mahmoud Ali Selim:
Community College, King Khalid University, Kingdom of Saudi Arabia Faculty of Commerce, Al-Azhar University, Egypt
3. Soha Othman:
Department of Applied Statistics, Cairo University, Egypt
Abstract:
Based on the Nadarajah Haghighi distribution and the Topp Leone-G family in view of the T-X family, we introduce a new generator of continuous distributions with three extra parameters called the Nadarajah Haghighi Topp Leone-G family. Three sub-models of the new class are discussed. Main mathematical properties of the new family are investigated such as; quantile function, raw and incomplete moments, Bonferroni and Lorenz curves, moment and probability generating functions, stress strength model, Shanon and Rényi entropies, order statistics and probability weighted moments. The model parameters of the new family is estimated by using the method of maximum likelihood and the observed information matrix is also obtained. We introduce two real applications to show the importance of the new family.
Page(s):
849-866
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 4, Year: 2019
Keywords:
TX family
,
Stress Strength Model
,
Entropies
,
Maximum Probability Weighted Moments
,
Nadarajah Haghighi distribution
References:
References are not available for this document.
Citations
Citations are not available for this document.