Master's degree in Statistics, Allameh Tabatabaei University, Iran
Abstract
In this article, we first examine the probability density function and failure rate function of several families of exponential distributions. Then, we present their properties, including the mathematical expectation, variance, moments, and likelihood estimate, and identify the most flexible distribution according to the graph of their probability density function and failure rate function. Finally, we present some practical examples of them.
Abdollahi Bakery, A. (2018). Comparing several distributions from the exponential family and presenting their properties and applications. Andishe_ye Amari, 22(2), 27-42.
MLA
Abdollahi Bakery, A. "Comparing several distributions from the exponential family and presenting their properties and applications", Andishe_ye Amari, 22, 2, 2018, 27-42.
HARVARD
Abdollahi Bakery A. (2018). 'Comparing several distributions from the exponential family and presenting their properties and applications', Andishe_ye Amari, 22(2), pp. 27-42.
CHICAGO
A. Abdollahi Bakery, "Comparing several distributions from the exponential family and presenting their properties and applications," Andishe_ye Amari, 22 2 (2018): 27-42,
VANCOUVER
Abdollahi Bakery A. Comparing several distributions from the exponential family and presenting their properties and applications. Andishe_ye Amari. 2018;22(2):27-42 (In Persian).