Solution Found!
Let Y1, Y2, . . . , Yn denote a random sample
Chapter 9, Problem 39E(choose chapter or problem)
QUESTION:
Let \(Y_{1}, Y_{2}, \ldots, Y_{n}\) denote a random sample from a Poisson distribution with parameter \(\lambda\). Show by conditioning that \(\sum_{i=1}^{n} Y_{i}\) is sufficient for \(\lambda\).
Equation Transcription:
Text Transcription:
Y1, Y2,...,Yn
\lambda
\sum_i=1^n Y_i
\lambda
Questions & Answers
QUESTION:
Let \(Y_{1}, Y_{2}, \ldots, Y_{n}\) denote a random sample from a Poisson distribution with parameter \(\lambda\). Show by conditioning that \(\sum_{i=1}^{n} Y_{i}\) is sufficient for \(\lambda\).
Equation Transcription:
Text Transcription:
Y1, Y2,...,Yn
\lambda
\sum_i=1^n Y_i
\lambda
ANSWER:
Step 1 of 3
Define 
Then,
