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Barndorff-Nielsen, O.E. (1978) Information and Exponential Families in Statistical Theory. Wiley Series in Probability and Mathematical Statistics. Wiley, New York.

has been cited by the following article:

• TITLE: Inference in the Presence of Likelihood Monotonicity for Polytomous and Logistic Regression

  AUTHORS: John E. Kolassa

  KEYWORDS: Polytomous Regression, Likelihood Monotonicity, Saddlepoint Approximation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.5, April 22, 2016

  ABSTRACT: This paper addresses the problem of inference for a multinomial regression model in the presence of likelihood monotonicity. This paper proposes translating the multinomial regression problem into a conditional logistic regression problem, using existing techniques to reduce this conditional logistic regression problem to one with fewer observations and fewer covariates, such that probabilities for the canonical sufficient statistic of interest, conditional on remaining sufficient statistics, are identical, and translating this conditional logistic regression problem back to the multinomial regression setting. This reduced multinomial regression problem does not exhibit monotonicity of its likelihood, and so conventional asymptotic techniques can be used.