Question

Let $\left ( X_{1},X_{2},...,X_{n} \right )$ be a simple random sample of a random variable X with density function  $f\left ( x\mid \theta \right )= 4\theta ^{2}x^{3}e^{-\theta ^{2}x^{4}}$ ,  .

Given the statistic :

Calculate a statistic ( function of ) such that its espected value is equal to $\theta ^{2}$ .

Thank you for your explanations

Answer 1

thank you

Selulion voriable x with dlenstty Then 17' Thu ūTue Eerected value of 02. に!