Estimating the Parameters of Exponential-Rayleigh Distribution under Type-I Censored Data
Open Access
- 20 May 2023
- journal article
- research article
- Published by College of Science for Women in Baghdad Science Journal
- Vol. 21 (1), 146-150
- https://doi.org/10.21123/bsj.2023.7962
Abstract
This paper discusses estimating the two scale parameters of Exponential-Rayleigh distribution for singly type one censored data which is one of the most important Rights censored data, using the maximum likelihood estimation method (MLEM) which is one of the most popular and widely used classic methods, based on an iterative procedure such as the Newton-Raphson to find estimated values for these two scale parameters by using real data for COVID-19 was taken from the Iraqi Ministry of Health and Environment, AL-Karkh General Hospital. The duration of the study was in the interval 4/5/2020 until 31/8/2020 equivalent to 120 days, where the number of patients who entered the (study) hospital with sample size is (n=785). The number of patients who died during the period of study was (m=88). And the number of patients who survived during the study period was (n-m=697), then utilized one of the most important non-parametric tests which is the Chi-square test to determine if the sample (data) corresponded with the Exponential-Rayleigh distribution (ER). then, after estimating the parameters of ER distribution for singly type-I censoring data, compute the survival function, hazard function, and probability density function.This publication has 4 references indexed in Scilit:
- E-Bayesian and Hierarchical Bayesian Estimation of Rayleigh Distribution Parameter with Type-II Censoring from Imprecise DataJournal of the Indian Society for Probability and Statistics, 2022
- The majorant function modelling to solve nonlinear algebraic systemJournal of Interdisciplinary Mathematics, 2021
- Comparing Weibull Stress – Strength Reliability Bayesian Estimators for Singly Type II Censored Data under Different loss FunctionsBaghdad Science Journal, 2021
- Estimating the Parameter of Exponential Distribution under Type II Censoring From Fuzzy DataJournal of Modern Applied Statistical Methods, 2016