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On maximum likelihood estimation of the binomial parameter n

1999; Wiley; Volume: 27; Issue: 3 Linguagem: Inglês

10.2307/3316115

1708-945X

Arjun K. Gupta, Truc T. Nguyen, Yining Wang,

Probabilistic and Robust Engineering Design

Abstract This paper gives a necessary and sufficient condition for the existence of a finite conditional maximum‐likelihood estimate for the binomial parameter n . Upper bounds for the conditional and beta‐binomial maximum‐likelihood estimators are derived. An example is given to show that the conditional likelihood function and the beta‐binomial likelihood function may not be unimodal.