On the Unit-Chen distribution with associated quantile regression and applications

Autor: Mustafa Ç. Korkmaz, Emrah Altun, Christophe Chesneau, Haitham M. Yousof
Rok vydání: 2022
Předmět:
Zdroj: MATHEMATICA SLOVACA
ISSN: 1337-2211
0139-9918
Popis: In this paper, a new distribution defined on (0, 1) is introduced. It is obtained by the transformation of a positive random variable following the Chen distribution with respect to the inverted exponential function. Basic distributional properties of the newly defined distribution are studied. Then, as a statistical model, we examine different methods of estimation for related parameters. We assess the performance of the obtained estimators by a complete simulation study. Subsequently, the quantile regression model based on the proposed distribution is introduced. Applications of the proposed models to real data sets show that they have better modeling capabilities than fair competitors.
Databáze: OpenAIRE