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.... the hypotheses (2) is the LRT (# # # where (#) log # # (#)## # (#)# (5) is the single sample log likelihood ratio and the threshold # is set such that the probability of false alarm is equal to #, whichmay require randomization when the distribution of the LRT statistic is discrete [27]. Likewise, if # and # denote the false alarm amd miss probabilities of the LRT operating on the output (#)ofan# cell product quantizer the MP post quantization test of level # is the LRT (# # # where (#) log # ### (#)## ### (#)# and # ### = # # # (#)### ### , # =0# ....
E. L. Lehmann, Testing Statistical Hypotheses, Wiley, New York, 1959.
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....over multiple queries, it becomes possible to measure the variability associated with each evaluation measure and determine whether one method performs consistently better than another. 5.6. 1 A Brief Introduction It is useful to briefly define the concept and terminology of hypothesis testing [47]. The goal is to determine whether we can reject a default assumption about the data. There are only two alternatives, accepting or rejecting the hypothesis. Let Omega define the set of all possible alternatives and divide Omega into two mutually exclusive subsets Omega and Omega a . Our ....
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