Estimation of the Shannon's entropy of several shifted exponential populations

DOI10.1016/j.spl.2013.01.012zbMath1489.62074OpenAlexW2041078091MaRDI QIDQ1950761

Suchandan Kayal, Somesh Kumar

Publication date: 13 May 2013

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2013.01.012

zbMATH Keywords

entropyequivariant estimatorinadmissibilitymonotone likelihood ratioBrewster-Zidek technique

Mathematics Subject Classification ID

Point estimation (62F10) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) Admissibility in statistical decision theory (62C15)

Related Items (5)

Objective Bayesian analysis for the differential entropy of the Weibull distribution ⋮ On the improved estimation of a function of the scale parameter of an exponential distribution based on doubly censored sample ⋮ Estimating the Renyi entropy of several exponential populations ⋮ Estimating a function of scale parameter of an exponential population with unknown location under general loss function ⋮ Improved estimators of the entropy in scale mixture of exponential distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Entropy and uncertainty
• Estimation of the entropy of a multivariate normal distribution
• Alternative estimators for the scale parameter of the exponential distribution with unknown location
• Improving on equivariant estimators
• Strawderman-type estimators for a scale parameter with application to the exponential distribution
• Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean
• Estimating the scale parameter of the exponential distribution with unknown location
• Entropy expressions and their estimators for multivariate distributions
• On the entropy of continuous probability distributions (Corresp.)
• A CLASS OF IMPROVED ESTIMATORS FOR THE SCALE PARAMETER OF AN EXPONENTIAL DISTRIBUTION WITH UNKNOWN LOCATION
• Testing Statistical Hypotheses
• Inadmissibility of the Usual Estimators of Scale parameters in Problems with Unknown Location and Scale Parameters
• Inadmissibility of the Usual Scale Estimate for a Shifted Exponential Distribution
• Handbook of Exponential and Related Distributions for Engineers and Scientists

This page was built for publication: Estimation of the Shannon's entropy of several shifted exponential populations