On families of beta-and generalized gamma-generated distributions and associated inference

K Zografos, N Balakrishnan - Statistical methodology, 2009 - Elsevier
A general family of univariate distributions generated by beta random variables, proposed
by Jones, has been discussed recently in the literature. This family of distributions …

The extropy of order statistics and record values

G Qiu - Statistics & Probability Letters, 2017 - Elsevier
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Estimating the entropy of a Weibull distribution under generalized progressive hybrid censoring

Y Cho, H Sun, K Lee - Entropy, 2015 - mdpi.com
Recently, progressive hybrid censoring schemes have become quite popular in a life-testing
problem and reliability analysis. However, the limitation of the progressive hybrid censoring …

[HTML][HTML] A novel extension of generalized Rayleigh model with engineering applications

MM Abd El-Raouf, M AbaOud - Alexandria Engineering Journal, 2023 - Elsevier
In this study, we introduce a new flexible distribution constructed by a modification to the
Rayleigh distribution and we referred it as unit generalized Rayleigh distribution (UGRD) …

Results on residual Rényi entropy of order statistics and record values

S Zarezadeh, M Asadi - Information Sciences, 2010 - Elsevier
This paper explores properties of the residual Rényi entropy of some ordered random
variables. The residual Rényi entropy of the kth order statistic from a continuous distribution …

Product of spacing estimation of entropy for inverse Weibull distribution under progressive type-II censored data with applications

H Okasha, M Nassar - Journal of Taibah University for Science, 2022 - Taylor & Francis
This paper seeks to estimate the entropy for the inverse Weibull distribution using
progressively Type-II censored data. To reach this objective, the entropy is defined through …

Estimation of entropy for inverse Lomax distribution under multiple censored data

RAR Bantan, M Elgarhy, C Chesneau, F Jamal - Entropy, 2020 - mdpi.com
The inverse Lomax distribution has been widely used in many applied fields such as
reliability, geophysics, economics and engineering sciences. In this paper, an unexplored …

Some characterizations based on entropy of order statistics and record values

S Baratpour, J Ahmadi, NR Arghami - Communications in Statistics …, 2007 - Taylor & Francis
In the literature of information theory, Shannon entropy plays an important role and in the
context of reliability theory, order statistics and record values are used for statistical …

On entropy estimation of inverse Weibull distribution under improved adaptive progressively type-II censoring with applications

FMA Alam, M Nassar - Axioms, 2023 - mdpi.com
This article utilizes improved adaptive progressively Type-II censored data to estimate the
entropy of the inverse Weibull distribution. Rényi, q, and Shannon entropy measurements …

Bayesian and non-Bayesian estimation of dynamic cumulative residual Tsallis entropy for moment exponential distribution under progressive censored type II

SA Alyami, AS Hassan, I Elbatal, M Elgarhy… - Open Physics, 2023 - degruyter.com
The dynamic cumulative residual (DCR) entropy is a helpful randomness metric that may be
used in survival analysis. A challenging issue in statistics and machine learning is the …