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The following distribution is used in economics:

X = f ( x, a ) = a.x ^a-1 / 3^a for 0 ? x ? 3 and a >

1 and 0 otherwise

a) As a function of a what is the expected value for X ?

b) As a function of X what is th method of moments estimator for a ? ( x has bar on top)

c) If our sample gives X = 2 , then what is the moments estimate for a? ( x has bar on top)

d) As a function of a what is the expected value for X^2 ?

e) as a function of a what is the variance of X ?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91006516

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