Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 06 Apr 2018 My Price 8.00

family of distributions

Let Y1, Y2, . . . , Yn denote independent and identically distributed random variables from a power family distribution with parameters α and θ. Then, as in Exercise 9.43, if α, θ > 0,

Exercise 9.43

Let Y1, Y2, . . . , Yn denote independent and identically distributed random variables from a power family distribution with parameters α and θ. Then, by the result in Exercise 6.17, if α, θ > 0,

Exercise 6.17

A member of the power family of distributions has a distribution function given by

               

                where α, β > 0.

a Find the density function.

b For fixed values of β and α, find a transformation G(U) so that G(U) has a distribution function of F when U has a uniform distribution on the interval (0, 1).

c Given that a random sample of size 5 from a uniform distribution on the interval (0, 1) yielded the values .0058, .2048, .7692, .2475 and .6078, use the transformation derived in part (b) to give values associated with a random variable with a Pareto distribution with α = 2, β = 3.

 

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Maurice Tutor
(5)
Status NEW Posted 06 Apr 2018 06:04 PM My Price 8.00

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