Laplace approximations for the Pitman estimators of location or scale parameters, including terms O(n-l), are obtained. The resulting expressions involve the maximum-likelihood estimate and the derivatives of the log-likelihood function up to order 3. The results can be used to refine the approximations for the optimal compromise estimators for location parameters considered by Easton (199 I). Some applications and Monte Carlo simulations are discussed.

Higher-order approximations for Pitman estimators and for optimal compromise estimators

VENTURA, LAURA
1998

Abstract

Laplace approximations for the Pitman estimators of location or scale parameters, including terms O(n-l), are obtained. The resulting expressions involve the maximum-likelihood estimate and the derivatives of the log-likelihood function up to order 3. The results can be used to refine the approximations for the optimal compromise estimators for location parameters considered by Easton (199 I). Some applications and Monte Carlo simulations are discussed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/146831
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