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KARPÍŠEK, Z.
Original Title
Statistical Properties of Discrete Probability Distributions with Maximum Entropy
Type
conference paper
Language
English
Original Abstract
The paper is concerned with the solution of and statistical problem of finding discrete probability distributions conforming to the requirement of maximum entropy under conditions given by estimates of their general moments from the observed relative frequencies. It is shown that the distributions derived are of an exponential type with maximum likelihood estimations of parameters that are also estimations by and modified chi-squared method. Basic properties of these estimations are described and the results are illustrated by examples.
Keywords
maximum entropy, moment conditions, maximum likelihood estimate
Authors
RIV year
2001
Released
1. 1. 2001
Publisher
Masaryk University Brno
Location
Masaryk University, Brno
ISBN
80-210-2544-1
Book
Folia Facultatis Scientiarium Naturalium Univesitatis Masarykinae Brunensis
Edition
Mathematica 9. Summer School DATASTAT 99. Proceedings
Edition number
1
Pages from
21
Pages to
32
Pages count
12
BibTex
@inproceedings{BUT3837, author="Zdeněk {Karpíšek}", title="Statistical Properties of Discrete Probability Distributions with Maximum Entropy", booktitle="Folia Facultatis Scientiarium Naturalium Univesitatis Masarykinae Brunensis", year="2001", series="Mathematica 9. Summer School DATASTAT 99. Proceedings", number="1", pages="12", publisher="Masaryk University Brno", address="Masaryk University, Brno", isbn="80-210-2544-1" }