On the Combination of Independent Two Sample Tests of a General Class - Softcover

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9781333453855: On the Combination of Independent Two Sample Tests of a General Class

Synopsis

This book delves into the realm of combining independent two-sample tests, offering a comprehensive analysis of linear combinations of independent statistics. The author explores two classes of tests: Chernoff-Savage and Student's t-type. By establishing conditions for maximizing asymptotic powers, this book provides valuable insights into the performance of these tests. The author delves into specific scenarios, including Pitman's shift alternatives, Lehmann's distribution-free alternatives, and contaminated alternatives, to evaluate the efficiency of the tests. Through this rigorous examination, the book illuminates the nuances of combining independent tests, making it a valuable resource for researchers and statisticians seeking to optimize their testing strategies.

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