Marginal probability distribution determined by the maximum entropy method

被引：6

作者：

Majerník, V ^{[1
]}

机构：

[1] Palacky Univ, Dept Theoret Phys, CZ-77207 Olomouc, Czech Republic

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2000年 / 45卷 / 02期

关键词：

D O I：

10.1016/S0034-4877(00)89030-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a formula for the probability distribution of a random variable if it is statistically dependent on other random variables of a stochastic system supposing that it is in its maximum entropy state. We assume that the conditional probability distribution is given and we use the maximum entropy principle for getting the marginal probability distribution. Such stochastic system may represent, e.g. homogeneous polymer, probabilistic cellular automaton, one-dimensional Ising system, or a string of symbols in communication.

引用

页码：171 / 181

页数：11

共 50 条

[1] A DISTRIBUTION ON TRIPLES WITH MAXIMUM ENTROPY MARGINAL
Norin, Sergey
FORUM OF MATHEMATICS SIGMA, 2019, 7
[2] On the Maximum Entropy Negation of a Probability Distribution
Yager, Ronald R.
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (05) : 1899 - 1902
[3] Marginal maximum entropy partitioning yields asymptotically consistent probability density functions
Chau, T
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2001, 23 (04) : 414 - 417
[4] The Maximum Entropy Method Of Moments And Bayesian Probability Theory
Bretthorst, G. Larry
BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING, 2013, 1553 : 3 - 15
[5] Existence and stability of a discrete probability distribution by maximum entropy approach
Tagliani, A
APPLIED MATHEMATICS AND COMPUTATION, 2000, 110 (2-3) : 105 - 114
[6] Positron lifetime distributions in polymers determined with the maximum entropy method
Wastlund, C
Maurer, FHJ
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 1996, 117 (04): : 467 - 473
[7] Modulation Functions of Aperiodic Crystals Determined by the Maximum Entropy Method
van Smaalen, Sander
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2005, 61 : C105 - C105
[8] Approximate probability distributions for stochastic systems: maximum entropy method
Sobczyk, K
Trebicki, J
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 168 (1-4) : 91 - 111
[9] Geometry of the probability simplex and its connection to the maximum entropy method
Gzyl, H.
Nielsen, F.
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2020, 16 (01) : 25 - 35
[10] A Novel Transfer Learning Method for Fault Diagnosis Using Maximum Classifier Discrepancy With Marginal Probability Distribution Adaptation
Jia, Sixiang
Wang, Jinrui
Han, Baokun
Zhang, Guowei
Wang, Xiaoyu
He, Jingtao
IEEE ACCESS, 2020, 8 : 71475 - 71485

← 1 2 3 4 5 →