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• W3196880117 abstract "To model count data with excess zeros, ones and twos, for the first time we introduce a so-called zero-one-two-inflated Poisson (ZOTIP) distribution, including the zero-inflated Poisson (ZIP) and the zero-and-one-inflated Poisson (ZOIP) distributions as two special cases. We establish three equivalent stochastic representations for the ZOTIP random variable to develop important distributional properties of the ZOTIP distribution. The Fisher scoring and expectation–maximization (EM) algorithms are derived to obtain the maximum likelihood estimates of parameters of interest. Bootstrap confidence intervals are also provided. Testing hypotheses are considered, simulation studies are conducted, and two real data sets are used to illustrate the proposed methods." @default.
• W3196880117 created "2021-09-13" @default.
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• W3196880117 date "2021-09-05" @default.
• W3196880117 modified "2023-10-16" @default.
• W3196880117 title "Likelihood-based methods for the zero-one-two inflated Poisson model with applications to biomedicine" @default.
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• W3196880117 doi "https://doi.org/10.1080/00949655.2021.1970162" @default.
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