Mathematics, 30.10.2019 20:31 jasminemonae62

Let x denote the proportion of allotted times that a randomly selected student spends working on a certain test. suppose the pdf of x isf(x; θ) = { θxθ-1 when }{ 0 otherwise }where θ 0. a random sample of ten students yields datax1= .92x2= .79x3= .90x4= .65x5= .86x6= .47x7= .73x8= .97x9= .94x10= .77note: the sum of xi is 8, and the product ∏xi = .088a.) use the method of moments to obtain an estimator of θ, and then compute the estimate for this data. b.) obtain the maximum likelihood estimator of θ, and then compute the estimate for the given data.

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