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Zero-Inflated, Zero-Altered and Positive Discrete Distributions

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Vector Generalized Linear and Additive Models

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

This chapter looks at positive (0-truncated), zero-inflated and zero-altered (hurdle) distributions, with the focus on discrete distributions. Zero-deflated distributions are also mentioned. Specific examples include the zero-inflated Poisson and positive-binomial distributions. Another example concerns closed-population capture–recapture estimation, which is described in relatively more detail as an application of a positive-Bernoulli distribution. Reduced-rank variants of some of the above models are also considered.

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© 2015 Thomas Yee

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Yee, T.W. (2015). Zero-Inflated, Zero-Altered and Positive Discrete Distributions. In: Vector Generalized Linear and Additive Models. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2818-7_17

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