A New Family of Distributions | Zendy

Kadir Karakaya | Zendy; İsmail Kınacı | Zendy; Coskun KUS KARAKAYA | Zendy; Yunus Akdoğan | Zendy

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A New Family of Distributions

Author(s) -

Kadir Karakaya,

İsmail Kınacı,

Coskun KUS KARAKAYA,

Yunus Akdoğan

Publication year - 2017

Publication title -

hacettepe journal of mathematics and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.312

H-Index - 26

ISSN - 1303-5010

DOI - 10.15672/hjms.2017.409

Subject(s) - mathematics

In this study, a new family of distributions is introduced which is called alpha log-transformation family. We consider a special case of this family with exponential distribution in details. Several properties of the proposed distribution including the raw moments, moment generating function, quantile function and hazard rate function are obtained. Statistical inference is discussed based on complete and progressive censored samples. Simulation study is also performed to observe the performance of the estimates and approximate confidence intervals. A real data is given to illustrate the capability of ALT- Exponential distribution for modelling real data.

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