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Moments of the Negative Multinomial Distribution
Mathematical 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
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General Formulas for the Central and Non-Central Moments of the Multinomial Distribution [PDF]
Stats, 2021 We present the first general formulas for the central and non-central moments of the multinomial distribution, using a combinatorial argument and the factorial moments previously obtained in Mosimann (1962).
Frédéric Ouimet
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Characterizations of multinomial distributions based on conditional distributions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 Several characterizations of the joint multinomial distribution of two discrete random vectors are derived assuming conditional multinomial distributions.
Khoan T. Dinh +2 more
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Middle censoring in the multinomial distribution with applications. [PDF]
Stat Probab Lett, 2020 Jammalamadaka SR, Bapat SR.
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The limiting distributions of the multinomial distribution [PDF]
Studia Mathematica, 1954 M. Fisz
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IEEE 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
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Smoothed Dirichlet Distribution
Journal 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
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Bayesian Estimation of Ammunition Demand Based on Multinomial Distribution
Discrete 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
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Asymptotic Distribution of Certain Types of Entropy under the Multinomial Law
Entropy, 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
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