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Some linear and nonlinear rank tests for competing risks models
Authors:Neuhaus Georg
Affiliation:Institu fü mathematische stochastik , University of hamburg Bundesstrabe 55, 2000 , Hamburg, Germany
Abstract:Using the methods of asymptotic decision theory asymptotically optimal for translation and scale families as well as for certian nonparmetric families. Moreover, two new classes of nonlinear rank tests are introduced. These tests are designed for detecting either “ omnibus alternatives ” or “ one sided alternatives of trend ”. Under the null hypothesis of randomness all tests are distribution - free. The asymptotic distributions of the test statistics are derived under contiguous alternatives.
Keywords:Competing risk  linear rank tests  asymptotic optimality  rank tests with estimated scores, likehood ratio method, kernel method
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