학술논문
Harmonic mixture Fréchet distribution: properties and applications to lifetime data.
Document Type
Journal
Author
Ocloo, Selasi Kwaku (GH-UMT-M) AMS Author Profile; Brew, Lewis (GH-UMT-M) AMS Author Profile; Nasiru, Suleman (GH-TUTAS-S) AMS Author Profile; Odoi, Benjamin (GH-UMT-M) AMS Author Profile
Source
Subject
62 Statistics -- 62F Parametric inference
62F10Point estimation
62Statistics -- 62P Applications
62Pxx
62F10
62
62Pxx
Language
English
Abstract
Summary: ``In this study, we propose a four-parameter probability distribution called the harmonic mixture Fréchet. Some useful expansions and statistical properties such as moments, incomplete moments, quantile functions, entropy, mean deviation, median deviation, mean residual life, moment-generating function, and stress-strength reliability are presented. Estimators for the parameters of the harmonic mixture Fréchet distribution are derived using the estimation techniques such as the maximum-likelihood estimation, the ordinary least-squares estimation, the weighted least-squares estimation, the Cramer--von Mises estimation, and the Anderson-Darling estimation. A simulation study was conducted to assess the biases and mean square errors of the estimators. The new distribution was applied to three-lifetime datasets and compared with the classical Fréchet distribution and eight (8) other extensions of the Fréchet distribution.''