Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code

Title: Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code

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Abstract

The bias, variance, and skewness of maximum likelihoood estimators are considered for binomial and Poisson mixture distributions. The moments considered are asymptotic, and they are assessed using the Maple code. Question of existence of solutions and Karl Pearson's study are mentioned, along with the problems of valid sample space. Large samples to reduce variances are not unusual; this also applies to the size of the asymptotic skewness.

Authors:

Bowman, Kimiko o ^[1]; Shenton, LR ^[2]

ORNL
University of Georgia, Athens, GA

Publication Date:: Sun Jan 01 00:00:00 EST 2006

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: Work for Others (WFO)

OSTI Identifier:: 1003505

DOE Contract Number:: DE-AC05-00OR22725

Resource Type:: Journal Article

Resource Relation:: Journal Name: Far East Journal of Theoretical Statistics; Journal Volume: 20; Journal Issue: 1

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICAL METHODS AND COMPUTING; MAXIMUM-LIKELIHOOD FIT; ASYMMETRY; DISTRIBUTION; PROBABILITY; STATISTICS

Citation Formats


                    Bowman, Kimiko o, and Shenton, LR. Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code.  United States: N. p., 2006. 
        Web.

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                    Bowman, Kimiko o, & Shenton, LR. Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code.  United States.

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                    Bowman, Kimiko o, and Shenton, LR. Sun .  
        "Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code".  United States.  
        doi:.

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@article{osti_1003505,

  title        = {Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code},

  author       = {Bowman, Kimiko o and Shenton, LR},

  abstractNote = {The bias, variance, and skewness of maximum likelihoood estimators are considered for binomial and Poisson mixture distributions. The moments considered are asymptotic, and they are assessed using the Maple code. Question of existence of solutions and Karl Pearson's study are mentioned, along with the problems of valid sample space. Large samples to reduce variances are not unusual; this also applies to the size of the asymptotic skewness.},

  doi          = {},

  journal      = {Far East Journal of Theoretical Statistics},

  number       = 1,

  volume       = 20,

  place        = {United States},

  year         = {Sun Jan 01 00:00:00 EST 2006},

  month        = {Sun Jan 01 00:00:00 EST 2006}

}

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