On Efficiency of First and Second Order

DOI10.2307/1403070zbMath0469.62038OpenAlexW4236229669MaRDI QIDQ3923420

Peter J. Bickel, D. M. Chibisov, Willem R. Van Zwet

Publication date: 1981

Published in: International Statistical Review / Revue Internationale de Statistique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1403070

zbMATH Keywords

asymptotic efficiencydeficiencysimple hypothesessecond order efficiency

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Asymptotic properties of parametric tests (62F05)

Related Items (17)

Higher-order expansions and efficiencies of tests based on spacings ⋮ On asymptotic efficiency and deficiency of some adaptive tests in the one-sample problem ⋮ Unnamed Item ⋮ Asymptotic results on a general class of empirical statistics: Power and confidence interval properties ⋮ Asymptotic optimality of criteria in the problem of testing hypotheses for a recurrent semi-Markov process ⋮ Second-order efficient test for inhomogeneous Poisson processes ⋮ On the asymptotic efficiency of tests in hypothesis testing problems ⋮ An evening spent with Bill van Zwet ⋮ Comparison of tests in the multiparameter case. I. Second-order power ⋮ Optimizing Lengths of Confidence Intervals: Fourth-Order Efficiency in Location Models ⋮ A method for obtaining asymptotic expansions under alternatives based on the properties of the likelihood ratio ⋮ Third order efficiency implies fourth order efficiency: A resolution of the conjecture of J. K. Ghosh ⋮ Second order asymptotics in nonlinear regression ⋮ Asymptotic optimality of tests in a hypothesis testing problem for recurrent jump Markov processes ⋮ Size and power of pretest procedures. ⋮ Vanishing shortcoming and asymptotic relative efficiency. ⋮ Calculation of deficiencies of some asymptotically efficient tests

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