[PDF][PDF] Estimation of the Weibull parameters by Kullback-Leibler divergence of Survival functions

G Yari, A Mirhabibi, A Saghafi - Appl. Math. Inf. Sci, 2013 - naturalspublishing.com
Recently, a new entropy based divergence measure has been introduced which is much like
Kullback-Leibler divergence. This entropy measures the distance between an empirical and …

Unbiased Weibull modulus estimation using differential cumulative entropy

GH Yari, A Saghafi - Communications in Statistics-Simulation and …, 2012 - Taylor & Francis
Recently, Liu defined a new entropy which measures the distance between a prescribed
and an empirical survival function. In this article, we use this measure called Differential …

Discriminating between Weibull and log-normal distributions based on Kullback-Leibler divergence

AA Bromıdeh - Istanbul University Econometrics and Statistics e …, 2012 - dergipark.org.tr
The Weibull and Log-Normal distributions are frequently used in reliability to analyze lifetime
(or failure time) data. The ratio of maximized likelihood (RML) has been extensively used in …

Kullback–Leibler divergence: A quantile approach

PG Sankaran, SM Sunoj, NU Nair - Statistics & Probability Letters, 2016 - Elsevier
Divergence measures play an important role in measuring the distance between two
probability distribution functions. Kullback–Leibler divergence function is a popular measure …

A comparison of shape and scale estimators of the two-parameter Weibull distribution

F George - Journal of Modern Applied Statistical …, 2014 - digitalcommons.wayne.edu
Weibull distributions are widely used in reliability and survival analysis. In this paper,
different methods to estimate the shape and scale parameters of the two-parameter Weibull …

Estimation the shape, location and scale parameters of the weibull distribution

ZC El-Mezouar - Reliability: Theory & Applications, 2010 - cyberleninka.ru
ESTIMATION THE SHAPE, LOCATION AND SCALE PARAMETERS OF THE WEIBULL
DISTRIBUTION ABSTRACT 1.INTRODUCTION The shape and scale par Page 1 Zouaoui Chikr …

New efficient estimators for the Weibull distribution

HM Kim, YH Jang, BC Arnold, J Zhao - … in Statistics-Theory and …, 2024 - Taylor & Francis
For some distributions, there is no available closed-form maximum likelihood estimator
(MLE). This could be a problem when estimating the parameters of state-space models or of …

Quantile-based cumulative Kullback–Leibler divergence

SM Sunoj, PG Sankaran, N Unnikrishnan Nair - Statistics, 2018 - Taylor & Francis
The paper introduces a quantile-based cumulative Kullback–Leibler divergence and study
its various properties. Unlike the distribution function approach, the quantile-based measure …

[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 …

Maximum likelihood estimation of the Weibull distribution with reduced bias

E Makalic, DF Schmidt - Statistics and Computing, 2023 - Springer
In this short note, we derive a new bias adjusted maximum likelihood estimate for the shape
parameter of the Weibull distribution with complete data and type I censored data. The …