Mahmoud Riad Mahmoud
Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt.
Moshera A.M. Ahmad
El Gazeera High Institute for Computer & Management Information System.
AzzaE. Ismail
Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt.
T-Inverse Exponential Family Of Distributions
Authors
Abstract
Recently, several methods have been introduced to generate neoteric distributions with more exibility, like T-X, T-R [Y] and alpha power. The T-Inverse exponential [Y] neoteric family of distributons is proposed in this paper utilising the T-R [Y] method. A generalised inverse exponential (IE) distribution family has been established. The distribution family is generated using quantile functions of some dierent distributions. A number of general features in the T-IE [Y] family are examined, like mean deviation, mode, moments, quantile function, and entropies. A special model of the T-IE [Y] distribution family was one of those old distributions. Certain distribution examples are produced by the T-IE [Y] family. An applied case was presented which showed the importance of the neoteric family.