Results 1 to 10 of about 41,098 (218)

Occupancy Statistics and Entropy in Bose Systems [PDF]

open access: yesEntropy
In this work, we compare three formulations of thermodynamic entropy for a non-interacting bosonic gas: (i) the grand-canonical Bose–Einstein entropy, (ii) the finite-N canonical entropy obtained from the exact partition function (Ziff, Uhlenbeck, and ...
Arnaldo Spalvieri
doaj   +2 more sources

Moments of the Negative Multinomial Distribution

open access: yesMathematical and Computational Applications, 2023
The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data.
Frédéric Ouimet
doaj   +1 more source

Testing of Hypotheses on a Multivariate Population: Some of the Variates Being Continuous and the Rest Categorical [PDF]

open access: yesThe Egyptian Statistical Journal, 1958
We consider a (k+1)-variate distribution in which k variates are continuous and I variate are categorical. The k variates are assumed to have a conditional multivariate normal distribution with respect to the I categorical variates which are assumed to ...
M. Moustafa
doaj   +1 more source

Smoothed Dirichlet Distribution

open access: yesJournal of Statistical Theory and Applications (JSTA), 2023
When the cells are ordinal in the multinomial distribution, i.e., when cells have a natural ordering, guaranteeing that the borrowing information among neighboring cells makes sense conceptually.
Lahiru Wickramasinghe   +2 more
doaj   +1 more source

Reliability Assessment and Improvement of Electrical Distribution Systems by Using Multinomial Monte Carlo Simulations and a Component Risk Priority Index

open access: yesIEEE Access, 2022
In this paper, a method of assessing and improving the reliability of power distribution systems based on Monte Carlo simulation and a novel risk priority index is proposed. The initialization of the assessment process is carried out by using Multinomial
Yuttana Dechgummarn   +2 more
doaj   +1 more source

Bayesian Estimation of Ammunition Demand Based on Multinomial Distribution

open access: yesDiscrete Dynamics in Nature and Society, 2021
In view of the small sample size of combat ammunition trial data and the difficulty of forecasting the demand for combat ammunition, a Bayesian inference method based on multinomial distribution is proposed.
Kang Li   +4 more
doaj   +1 more source

Asymptotic Distribution of Certain Types of Entropy under the Multinomial Law

open access: yesEntropy, 2023
We obtain expressions for the asymptotic distributions of the Rényi and Tsallis of order q entropies and Fisher information when computed on the maximum likelihood estimator of probabilities from multinomial random samples.
Andrea A. Rey   +5 more
doaj   +1 more source

Compound Power Series Distribution with Negative Multinomial Summands

open access: yesRevstat Statistical Journal, 2022
The paper considers a multivariate distribution whose coordinates are compounds. The number of the summands is itself also a multivariate compound with one and the same univariate Power series distributed number of summands and negative multinomially ...
Pavlina Jordanova   +2 more
doaj   +1 more source

On Bernoulli Sums and Bernstein Polynomials [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
In the paper we discuss a technology based on Bernstein polynomials of asymptotic analysis of a class of binomial sums that arise in information theory.
Jacek Cichoń, Zbigniew Gołębiewski
doaj   +1 more source

A Novel Blind Signal Detector Based on the Entropy of the Power Spectrum Subband Energy Ratio

open access: yesEntropy, 2021
In this paper, we present a novel blind signal detector based on the entropy of the power spectrum subband energy ratio (PSER), the detection performance of which is significantly better than that of the classical energy detector. This detector is a full
Han Li, Yanzhu Hu, Song Wang
doaj   +1 more source

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