Indonesian Journal of Statistics and Its Applications
Vol 3 No 1 (2019)

THE BETA TRANSMUTED POWER DISTRIBUTION: PROPERTIES AND APPLICATION

Abdelhakim Alabid (Sana’a University, Yemen)
Ahmed Ali Hurairah (Sana’a University, Yemen)
Indonesian Journal of Statistics and Its Applications IJSA (Unknown)



Article Info

Publish Date
27 Feb 2019

Abstract

In this this paper, we define and study a new generalization of the Power distribution and the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distribution taking Power distribution as the base distribution. The new distribution is called the beta transmuted Power (BTP) distribution. Some properties of the distribution such as moments, quantiles, mean deviation and order statistics are derived. The method of maximum likelihood is proposed to estimate the model parameters. The asymptotic confidence intervals for the parameters are also obtained based on asymptotic variance-covariance matrix. A simulation study is conducted to study the performance of the estimators. The importance and flexibility of the new model is proved empirically using a real data set.

Copyrights © 2019






Journal Info

Abbrev

ijsa

Publisher

Subject

Computer Science & IT Mathematics Other

Description

Indonesian Journal of Statistics and Its Applications (eISSN:2599-0802): diterbitkan berkala 2 (dua) kali dalam setahun yang memuat tulisan ilmiah yang berhubungan dengan bidang statistika dan aplikasinya. Artikel yang dimuat berupa hasil penelitian bidang statistika dan aplikasinya dengan topik ...