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Article
Statistics & Probability
Siddhartha Chakraborty et al.
Summary: This paper studies some properties of weighted survival extropy measure, introduces weighted extended survival extropy and its dynamic version, and investigates various properties of the proposed measures. Generalized inequalities related to weighted extended survival extropy are also studied. Non-parametric estimators of these measures are proposed and their asymptotic properties are investigated. The performance of the estimators is assessed through a simulation study. Finally, it is shown that the weighted survival extropy measure can be used in model discrimination and as an alternative risk measure.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2024)
Article
Mathematics, Applied
R. Maya et al.
Summary: In this study, nonparametric kernel type estimators for the negative cumulative residual extropy are proposed based on the dependency of the observed data. Various properties, including asymptotic properties, of the estimators are derived under suitable regularity conditions. A Monte-Carlo simulation study is conducted to evaluate the bias and mean squared error of the estimators.
RICERCHE DI MATEMATICA
(2023)
Article
Statistics & Probability
Silpa Subhash et al.
Summary: This article proposes three nonparametric estimators for quantile-based Shannon differential entropy function for complete samples and establishes the asymptotic properties of the estimators under suitable regularity conditions. Simulation studies and real data applications are conducted to compare the performance and demonstrate the usefulness of the new estimators.
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
(2023)
Article
Statistics & Probability
Siddhartha Chakraborty et al.
Summary: Generalized weighted survival and failure entropies of order (θ1, θ2) are proposed and their properties are studied. Dynamic versions of weighted generalized survival and failure entropies are also proposed. These entropies can be used to characterize specific distributions and test the exponentiality of a distribution by comparing with empirical entropies.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2023)
Article
Mathematics, Applied
Angel Mathew et al.
Summary: This paper discusses quantile-based overlap measures and introduces three commonly used overlap measures: Matusita's measure, Morisita's measure, and Weitzman's measure. For probability distributions that do not have a computable probability density function but have an explicit quantile density function, overlap measures need to be defined using quantile functions.
RICERCHE DI MATEMATICA
(2022)
Article
Mathematics, Applied
Osman Kamari et al.
Summary: In this paper, residual extropy is studied as a measure of uncertainty in past lifetime distributions, referred to as past extropy. Additionally, a characterization result about the past extropy of largest order statistics is presented.
RICERCHE DI MATEMATICA
(2021)
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Aswathy S. Krishnan et al.
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PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
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Guoxin Qiu et al.
JOURNAL OF NONPARAMETRIC STATISTICS
(2018)
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Statistics & Probability
Guoxin Qiu et al.
STATISTICS & PROBABILITY LETTERS
(2018)
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Statistics & Probability
Guoxin Qiu
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(2017)
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STATISTICAL SCIENCE
(2015)
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Computer Science, Interdisciplinary Applications
Pooja Soni et al.
COMPUTATIONAL STATISTICS & DATA ANALYSIS
(2012)
Article
Statistics & Probability
S. M. Sunoj et al.
STATISTICS & PROBABILITY LETTERS
(2012)
Article
Statistics & Probability
D. J. Best et al.
SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS
(2010)
