Solution Found!
Let Y1, Y2, . . . , Yn denote a random sample
Chapter 9, Problem 19E(choose chapter or problem)
Let \(Y_{1}, Y_{2}, \ldots, Y_{n}\) denote a random sample from the probability density function
\(f(y)=\left\{\begin{array}{ll} \theta y^{\theta-1}, & 0<y<1 \\ 0, & \text { elsewhere } \end{array}\right.\)
where \(\theta>0\). Show that \(\bar{Y}\) is a consistent estimator of \theta \(/(\theta+1)\).
Equation Transcription:
{
Text Transcription:
Y_1, Y_2, \ldots, Y_n
f(y)=\theta y^\theta-1, & 0<y<1 0, elsewhere
\theta>0
\bar Y
\theta /(\theta+1)
Questions & Answers
QUESTION:
Let \(Y_{1}, Y_{2}, \ldots, Y_{n}\) denote a random sample from the probability density function
\(f(y)=\left\{\begin{array}{ll} \theta y^{\theta-1}, & 0<y<1 \\ 0, & \text { elsewhere } \end{array}\right.\)
where \(\theta>0\). Show that \(\bar{Y}\) is a consistent estimator of \theta \(/(\theta+1)\).
Equation Transcription:
{
Text Transcription:
Y_1, Y_2, \ldots, Y_n
f(y)=\theta y^\theta-1, & 0<y<1 0, elsewhere
\theta>0
\bar Y
\theta /(\theta+1)
ANSWER:Step 1 of 4
