On a theorem of Bahadur on the rate of convergence of point estimators

DOI10.1214/aos/1176342469zbMath0261.62028OpenAlexW2058610343MaRDI QIDQ2560686

James C. Fu

Publication date: 1973

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176342469

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12)

Related Items (17)

Moderate deviations for the maximum likelihood estimator ⋮ On a fundamental optimality of the maximum likelihood estimator ⋮ On large deviation expansion of distribution of maximum likelihood estimator and its application in large sample estimation ⋮ Local rates of convergence for consistent estimators of location of translation families ⋮ On Bahadur asymptotic efficiency in a semiparametric regression model ⋮ Optimal convergence rates and asymptotic efficiency of point estimators under truncated distribution families ⋮ Cramér Asymptotic Efficiency in a Semiparametric Model ⋮ Large deviations and estimation in infinite-dimensional models ⋮ Convergence rates of large deviations probabilities for point estimators ⋮ Large deviation theory for non-regular location shift family ⋮ Asymptotically efficient estimation in response adaptive trials ⋮ On the maximum-likelihood estimator for the location parameter of a cauchy distribution ⋮ The First- and Second-Order Large-Deviation Efficiency for an Exponential Family and Certain Curved Exponential Models ⋮ Two Non-Regular Extensions of Large Deviation Bound ⋮ Classical asymptotic properties of a certain estimator related to the maximum likelihood estimator ⋮ On exponential rates of estimators of the parameter in the first-order autoregressive process ⋮ On exponential rates of likelihood ratio estimators for location parameters

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