Abstract
Asymptotic expansions are established for the power of distributionfree tests in the two-sample problem. These expansions are then used to obtain deficiencies in the sense of Hodges and Lehmann for distributionfree tests with respect to their parametric competitors and for the estimators of shift associated with these tests.
Received April 1976; revised March 1977.
Report SW 38/76 (revised) Mathematisch Centrum, Amsterdam.
Research supported by the National Science Foundation , Grant MPS-73-08698, by the Office of Naval Research , Contract N00014-75-C-0444, and by the Netherlands Organization for Pure Scientific Research.
Research supported by the National Science Foundation, Grant GP-29123, and by the Office of Naval Research, Contracts N00014-69-A-0200-1036 and N00014-75-C-0444.
AMS 1970 subject classifications. Primary 62G 10, 62G20; Secondary 60F05.
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Bickel, P.J., van Zwet, W.R. (2012). Asymptotic Expansions for the Power of Distributionfree Tests in the Two-Sample Problem. In: van de Geer, S., Wegkamp, M. (eds) Selected Works of Willem van Zwet. Selected Works in Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1314-1_11
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