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Research Article Open access CC BY 4.0

Parameter Estimation of Exponentiated U-Quadratic Distribution: Alternative Maximum Likelihood and Percentile Methods

Mustapha Muhammad, Sadiya Ali Rano, Ruqayya Ibrahim Sani, Murtala Maitama Ahmad, Abba Sani Sulaiman

Asian Research Journal of Mathematics · pp. 1–10 · Published 16 Apr 2018

10.9734/ARJOM/2018/39446

Abstract

In this article, exponentiated U-quadratic distribution (EUq) is proposed by exponentiation procedure. The quantile function and rth moment of the new model are computed. Estimation of parameter by the alternative maximum likelihood and estimation based on percentiles are established and compare their performances through numerical simulations. The results show that both methods are suitable for the parameter estimation of EUq distribution. A real data set is used to compare the fit of the two proposed estimation method using Kolmogorov Smirnov test (KS).

U-qadrtic distribution maximum likelihood estimation estimation by percentile.

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