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Determining the Parameters of a Multinomial Distribution: The Fiducial Approach

Author

Listed:
  • Heike Hans-Dieter

    (Fachgebiet für Statistik und Ökonometrie, Technische Universität Darmstadt, D-64283 Darmstadt, Germany)

  • Târcolea Constantin

    (Departamentul de Matematici, Universitatea “Politehnica” Bucuresti, Romania)

  • Demetrescu Matei

    (Institut für Statistik und Methoden der Ökonometrie, Goethe-Universität Frankfurt, Gräfstr. 78, D-60054 Frankfurt/Main, Germany)

  • Tarcolea Adina-Ioana

    (Institut für Statistik und Methoden der Ökonometrie, Goethe-Universität Frankfurt, Gräfstr. 78, D-60054 Frankfurt/Main, Germany)

Abstract

A procedure is derived for determining the values of the parameters of a multinomial distribution by means of the fiducial approach proposed by Fisher. By decomposing the involved probability (mass or density) functions, it is shown that the resulting fiducial distributions belong to the Dirichlet family.

Suggested Citation

  • Heike Hans-Dieter & Târcolea Constantin & Demetrescu Matei & Tarcolea Adina-Ioana, 2005. "Determining the Parameters of a Multinomial Distribution: The Fiducial Approach," Stochastics and Quality Control, De Gruyter, vol. 20(2), pages 177-189, January.
    • Handle: RePEc:bpj:ecqcon:v:20:y:2005:i:2:p:177-189:n:3
    DOI: 10.1515/EQC.2005.177
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    References listed on IDEAS

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    1. Jhun, Myoungshic & Jeong, Hyeong-Chul, 2000. "Applications of bootstrap methods for categorical data analysis," Computational Statistics & Data Analysis, Elsevier, vol. 35(1), pages 83-91, November.
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