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11. Let X be a hypergeometric RV with PMF PM{X=x}=(Nn)1(Mx)(NMnx), where max(0,M+nN)x
min(M,n). (a) Find the UMVUE for M when N is assumed to be known. (b) Does there exist an
unbiased estimator of N(M known)?

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11 Let X be a hypergeometric RV with PMF PMXxNn1Mx.pdf

  • 1. 11. Let X be a hypergeometric RV with PMF PM{X=x}=(Nn)1(Mx)(NMnx), where max(0,M+nN)x min(M,n). (a) Find the UMVUE for M when N is assumed to be known. (b) Does there exist an unbiased estimator of N(M known)?