Uniqueness of maximum likelihood estimators of the 2-parameter Weibull distribution

NR Farnum, P Booth - IEEE Transactions on Reliability, 1997 - ieeexplore.ieee.org
We present a simple statistic, calculated from either complete failure data or from right-
censored data of type-I or-II. It is useful for understanding the behavior of the parameter …

Weibull frailty for modelling heterogeneity

YT Boneng - 2001 - atrium.lib.uoguelph.ca
This thesis will investigate the effect of differing assumed frailty models on the corresponding
estimated regression coefficients. The main purpose of the Cox model in survival analysis is …

On the insensitivity of the score test for heterogeneity to omitted covariates in multivariate failure time models

CD Orme - Biometrika, 1998 - academic.oup.com
The multivariate Weibull distribution often provides a point of departure for modelling
repeated, or a sequence of, failure times for a particular individual. It is then natural to want …

On the estimation of reliabilty function in a Weibull lifetime distribution

A Baklizi, SE Ahmed - Statistics, 2008 - Taylor & Francis
The estimation of the reliability function of the Weibull lifetime model is considered in the
presence of uncertain prior information (not in the form of prior distribution) on the parameter …

[PDF][PDF] On the three-parameter Weibull distribution shape parameter estimation

M Teimouri, AK Gupta - Journal of Data Science, 2013 - academia.edu
The Weibull distribution has received much interest in reliability theory. The well-known
maximum likelihood estimators (MLE) of this family are not available in closed form …

Weibull and inverse Weibull composite distribution for modeling reliability data

K Cooray, S Gunasekera… - Model assisted statistics …, 2010 - content.iospress.com
The Weibull distribution, frequently used for life data analysis, is composited with inverse
Weibull distribution to obtain a computationally convenient parametric distribution for …

Analyzing highly censored reliability data without exact failure times: an efficient tool for practitioners

CW Zhang, T Zhang, D Xu, M Xie - Quality Engineering, 2013 - Taylor & Francis
There are many real-life situations where exact failure times are not available or not easily
available for reliability analysis. Motivated by this problem, this work is concerned with the …

A comparison of various estimators of reliability

RC Gupta, RD Gupta - Computational Statistics & Data Analysis, 1987 - Elsevier
The estimation of reliability P (X> χ 0) is considered in the case of (1) N (μ, 1),(2) N (μ, σ
2),(3) E (X; λ, θ), an exponential distribution with two parameters. Five estimators are …

[PDF][PDF] On Estimating Reliability of a Stress–Strength Model in Case of Rayleigh Pareto Distribution

ESM Haddad, FSM Batah - Iraqi Journal of Science, 2021 - iasj.net
The stress–strength model is one of the models that are used to compute reliability. In this
paper, we derived mathematical formulas for the reliability of the stress–strength model that …

[PDF][PDF] Weibullness test and parameter estimation of the three-parameter Weibull model using the sample correlation coefficient

C Park - International Journal of Industrial Engineering: Theory …, 2017 - researchgate.net
In reliability engineering, the Weibull distribution is one of the most widely used distributions
for modelling lifetime data. Often when analyzing experimental data, it is important to …