Maximum entropy principle and statistical inference on condensed ordered data

DOI10.1016/S0167-7152(96)00169-1zbMath0899.62031OpenAlexW2031221991MaRDI QIDQ1380634

M. Luisa Menendez, Domingo Morales, Leandro Pardo

Publication date: 8 March 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(96)00169-1

zbMATH Keywords

maximum entropyShannon entropysample quantilesasymptotic chi-square distributiongoodness-of-fit test statistic

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Statistical aspects of information-theoretic topics (62B10)

Related Items (6)

Consistency of minimum divergence estimators based on grouped data ⋮ A maximum entropy characterization of symmetric Kotz type and Burr multivariate distribu\-tions ⋮ On testing homogeneity of variances for nonnormal models using entropy ⋮ A class of asymptotically efficient estimators based on sample spacings ⋮ Alternatives to maximum likelihood estimation based on spacings and the Kullback-Leibler divergence ⋮ Limit laws for disparities of spacings

Cites Work

• Asymptotic efficiencies of spacings tests for goodness of fit
• Maximum entropy histograms
• On powerful distributional tests based on sample spacings
• On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests
• Weak convergence of empirical distribution functions of random variables subject to perturbations and scale factors
• Two measures of sample entropy
• The asymptotic sufficiency of a relatively small number of order statistics in tests of fit
• Information Theory and Statistical Mechanics
• An optimal statistic based on higher order gaps
• Entropy-Based Tests of Uniformity
• On the logarithms of high-order spacings
• A Likelihood Ratio Statistic for Testing Goodness of Fit with Randomly Censored Data
• Some Basic Theorems for Developing Tests of Fit for The Case of the Non-Parametric Probability Distribution Function, I
• On a Class of Problems Related to the Random Division of an Interval
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