Bayesian Estimation of Ammunition Demand Based on Multinomial Distribution

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. Firstly, considering the different damage grades of ammunition hitting targets, the damage r...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2021-04, Vol.2021, p.1-11
Main Authors: Li, Kang, Shi, Xian-ming, Li, Juan, Zhao, Mei, Zeng, Chunhua
Format: Article
Language:English
Subjects:
Algorithms
Ammunition
Bayesian analysis
Cumulative damage
Demand
Dirichlet problem
Economic forecasting
Forecasts and trends
Markov chains
Maximum entropy method
Military aspects
Monte Carlo method
Monte Carlo simulation
Neural networks
Probability
Random variables
Simulation
Statistical inference
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Summary: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. Firstly, considering the different damage grades of ammunition hitting targets, the damage results are approximated as multinomial distribution, and a Bayesian inference model of ammunition demand based on multinomial distribution is established, which provides a theoretical basis for forecasting the ammunition demand of multigrade damage under the condition of small samples. Secondly, the conjugate Dirichlet distribution of multinomial distribution is selected as a prior distribution, and Dempster–Shafer evidence theory (D-S theory) is introduced to fuse multisource previous information. Bayesian inference is made through the Markov chain Monte Carlo method based on Gibbs sampling, and ammunition demand at different damage grades is obtained by referring to cumulative damage probability. The study result shows that the Bayesian inference method based on multinomial distribution is highly maneuverable and can be used to predict ammunition demand of different damage grades under the condition of small samples.
ISSN:1026-0226
1607-887X
DOI:10.1155/2021/5575335