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Adaptive tests for stochastic processes in the ergodic case

Harald Luschgy, Andrew L. Rukhin and Igor Vajda

Stochastic Processes and their Applications, 1993, vol. 45, issue 1, 45-59

Abstract: A hypothesis testing problem for two processes is considered. A test which is asymptotically efficient for specified pairs of null hypotheses and alternatives is called adaptive. A necessary and sufficient adaptation condition in the ergodic case is obtained. Several examples with explicitly constructed adaptive tests are studied.

Date: 1993
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