Fiducial distribution in a power series family
Por:
Najera, Edilberto, O'Reilly, Federico, Ruiz-Velasco, Silvia
Publicada:
1 ene 2019
Categoría:
Statistics and probability
Resumen:
In this article the interest is on finding the fiducial distribution of the parameter, when the probability distribution belongs to the power series family, as in Johnson et al. (1992). Recently in Nájera and O’Reilly (2017) an argument is given to obtain a unique fiducial in the Bernoulli case. An attempt is made here to define some sort of invariance in a power series distribution so that, as was done in the Bernoulli case, one may find a unique invariant fiducial for the parameter. The Bernoulli case is reviewed in detail and the Poisson and negative binomial cases are addressed. © 2019, © 2019 Taylor & Francis Group, LLC.
Filiaciones:
Najera, Edilberto:
División Académica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, Tabasco, Mexico
Univ Juarez Autonoma Tabasco, Div Acad Ciencias Basicas, Villahermosa, Tabasco, Mexico
O'Reilly, Federico:
Departamento de Probabilidad y Estadística, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, México, Mexico
Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Dept Probabilidad & Estadist, Mexico City, DF, Mexico
Ruiz-Velasco, Silvia:
Departamento de Probabilidad y Estadística, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, México, Mexico
Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Dept Probabilidad & Estadist, Mexico City, DF, Mexico
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