Concavity and Estimation

Shelby J. Haberman

doi:10.1214/aos/1176347385

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Home > Journals > Ann. Statist. > Volume 17 > Issue 4 > Article

December, 1989 Concavity and Estimation

Shelby J. Haberman

Ann. Statist. 17(4): 1631-1661 (December, 1989). DOI: 10.1214/aos/1176347385

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Abstract

Simplified conditions are given for consistency and asymptotic normality of $M$-estimates derived by maximization of averages of independent identically distributed random concave functions. Applications are made to maximum likelihood estimation.