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Two Conditionally Specified Mixed Binomial Distributions
Authors:A J Sáez-Castillo  A M Martínez-Rodríguez
Institution:1. Department of Statistics and OR, University of Jaén, Jaén, Spainajsaez@ujaen.es;3. Department of Statistics and OR, University of Jaén, Jaén, Spain
Abstract:Two generalized hypergeometric distributions are identified as mixed binomial distributions by conditional specification. Both distributions show profiles that are not possible in other mixed binomial distributions such as the beta-binomial distribution. A simulation study illustrates that beta-binomial distribution is more precise to fit data with usual profiles but the two distributions presented can improve the capability of fitting data in other less common scenes.
Keywords:Conditional specification  Generalized Hypergeometric Probability Distributions  Mixed Binomial Distributions
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