Title: Asymmetry approach to study for chemotherapy treatment and devices failure time's data using modified power function distribution with some modified estimators

Authors: Azam Zaka; Ahmad Saeed Akhter; Riffat Jabeen

Addresses: College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, 54000, Pakistan ' College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, 54000, Pakistan ' COMSATS University Islamabad Lahore Campus, Lahore, 54000, Pakistan

Abstract: In order to improve the already existing models that are used extensively in bio sciences and applied sciences research, a new class of Weighted Power function distribution (WPFD) has been proposed with its various properties and different modifications to be more applicable in real life. We have provided the mathematical derivations for the new distribution. The aim of the study is to increase the application of the Power function distribution. The main feature of the proposed distribution is that there is no induction of parameters as compared to the other generalisation of the distributions, which are complex, having many parameters. We have used R programming to estimate the parameters of the new class of WPFD using Maximum Likelihood Method (MLM), Percentile Estimators (PE) and their modified estimators. After analysing the data, we conclude that the proposed model WPFD performs better in the data sets while compared to different competitor models.

Keywords: adequacy model; characterisation; modified estimator; percentile estimator; PFD; power function distribution; weighted distribution.

DOI: 10.1504/IJCSM.2022.10048625

International Journal of Computing Science and Mathematics, 2022 Vol.15 No.2, pp.99 - 116

Received: 07 Apr 2020
Accepted: 14 May 2020

Published online: 07 Jul 2022 *

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