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Restricted product multinomial and product Poisson maximum likelihood estimation based upon Fenchel duality

Author

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  • El Barmi, Hammou
  • Dykstra, Richard L.

Abstract

The iterative algorithm developed in El Barmi and Dykstra (1994) to maximize the multinomial likelihood function over an intersection of convex regions is extended to the product multinomial and product Poisson situations. This algorithm typically uses solutions to simple maximum likelihood problems to solve difficult problems and is guaranteed to converge to the true solution.

Suggested Citation

  • El Barmi, Hammou & Dykstra, Richard L., 1996. "Restricted product multinomial and product Poisson maximum likelihood estimation based upon Fenchel duality," Statistics & Probability Letters, Elsevier, vol. 29(2), pages 117-123, August.
    • Handle: RePEc:eee:stapro:v:29:y:1996:i:2:p:117-123
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    Cited by:

    1. El Barmi, Hammou & Johnson, Matthew, 2006. "A unified approach to testing for and against a set of linear inequality constraints in the product multinomial setting," Journal of Multivariate Analysis, Elsevier, vol. 97(8), pages 1894-1912, September.
    2. Li, Hui-Qiong & Tian, Guo-Liang & Jiang, Xue-Jun & Tang, Nian-Sheng, 2016. "Testing hypothesis for a simple ordering in incomplete contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 99(C), pages 25-37.

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