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