2014
DOI: 10.1007/s00184-014-0519-3
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Universal surrogate likelihood functions for nonnegative continuous data

Abstract: In independent and identically distributed situations, we show that one can properly correct the Poisson and the negative binomial likelihood functions to become asymptotically identical to the profile likelihood function for the mean parameter of nonnegative continuous distributions under mild conditions. We present theoretical justifications and use data analyses to demonstrate the merit of our new robust likelihood method.

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