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uestion: 6.7. For discrete distributions, prove that the histogram (Sec. 6.4.2) is an unbiased estimator of the (unknown) mass function; i.e., show that E(hj )
uestion: 6.7. For discrete distributions, prove that the histogram (Sec. 6.4.2) is an unbiased estimator of the (unknown) mass function; i.e., show that E(hj ) 5 p(xj ) for all j. Hint: For j fi xed, defi ne Yi 5 e 1 0 if Xi 5 xj otherwise for i 5 1, 2, . . . , n 6.7. For discrete distributions, prove that the histogram (Sec. 6.4.2) is an unbiased estimator of the (unknown) mass function; i.e., show that E(hj ) 5 p(xj ) for all j. Hint: For j fi xed, defi ne Yi 5 e 1 0 if Xi 5 xj otherwise for i 5 1, 2, . . . , n
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