Let X1,...,X, be an iid sample of size n from a Beta(0,7) distribution with parameters 6 and 1=1, that is with probabili
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Let X1,...,X, be an iid sample of size n from a Beta(0,7) distribution with parameters 6 and 1=1, that is with probabili
Let X1,...,X, be an iid sample of size n from a Beta(0,7) distribution with parameters 6 and 1=1, that is with probability density function given by fx(x) = 0,8-1,0<x<1. (1) Find the method of moments estimator 7, and the MLE ê, of . [5 marks] (i) Prove that –20 - log X X3 Xăm [7 marks] (iii) Construct a 100(1 - a)% two tailed confidence interval for 6. [5 marks]
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