Statistical analysis and application of zero-and-one-inflated geometric distribution

LIU Mengyao; XIAO Xiang

doi:10.12299/jsues.23-0213

Volume 38 Issue 2

Jun. 2024

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Article Navigation > Journal of Shanghai University of Engineering Science > 2024 > 38(2): 196-204

LIU Mengyao, XIAO Xiang. Statistical analysis and application of zero-and-one-inflated geometric distribution[J]. Journal of Shanghai University of Engineering Science, 2024, 38(2): 196-204. doi: 10.12299/jsues.23-0213

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LIU Mengyao, XIAO Xiang. Statistical analysis and application of zero-and-one-inflated geometric distribution[J]. Journal of Shanghai University of Engineering Science, 2024, 38(2): 196-204. doi: 10.12299/jsues.23-0213

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Statistical analysis and application of zero-and-one-inflated geometric distribution

doi: 10.12299/jsues.23-0213

LIU Mengyao,
XIAO Xiang^,

School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2023-10-09
Publish Date: 2024-06-30

Abstract

Abstract

Zero-and-one-inflated geometric distribution model was investigated, the conditional distribution of latent variables were constructed, and a sampling algorithm was designed. On the basis of data expansion, the maximum likelihood estimation, expectation maximization (EM) algorithm and Bayesian method were employed to estimate the model parameters. Different sample sizes and parameter true values were setted, and the performance of these methods were evaluated through numerical simulations. Finally, the Detroit traffic accident deaths dataset in 1994 of United States were analyzed, the results indicate that zero-and-one-inflated geometric distribution model can fit the dataset better.

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References(9)

References

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