Suppose that n integers are drawn at random and with
Chapter 9, Problem 109SE(choose chapter or problem)
Suppose that integers are drawn at random and with replacement from the integers \(1,2, \ldots, N\) That is, each sampled integer has probability \(1 / N\) of taking on any of the values \(1,2, \ldots, N\) and the sampled values are independent.
a Find the method-of-moments estimator \(\widehat{N}_{1}\) of \(N\).
b Find \(E\left(\hat{N}_{1}\right) \text { and } V\left(\hat{N}_{1}\right)\)
Equation Transcription:
Text Transcription:
1,2,...,N
1/N
1,2,...,N
\widehat{N}_{1}
N
E\left(\hat N_1\right)and V\left(\hat N_1\right)
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