Statistics Graduate Level Quiz
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PROBABILITY FOUNDATIONS
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Let probability measure PP be absolutely continuous with respect to QQ, with likelihood ratio L=dP/dQL=dP/dQ. For a statistic SS, let PSP_S and QSQ_S denote the induced distributions of SS. Assume the relevant divergences are finite. Which statement correctly applies conditional Jensen's inequality to x↦xlog⁡xx\mapsto x\log x?
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