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Let Y1,Y2,,Yn be a random sample from a population with density function
f(y)={33y2,0,0y,elsewhere. Show that Y(n)=max(Y1,Y2,,Yn) is sufficient for . Also find the
mean and variance of Y(n). the maximum order statistic.

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Let Y1,Y2,�,Yn be a random sample from a population with density func.pdf

  • 1. Let Y1,Y2,,Yn be a random sample from a population with density function f(y)={33y2,0,0y,elsewhere. Show that Y(n)=max(Y1,Y2,,Yn) is sufficient for . Also find the mean and variance of Y(n). the maximum order statistic.