Find the characteristic function of the geometric distribution given by P(X = r) = q' p, r = 0, 1, 2, ..., 0, p + q = 1. Hence find the mean and variance.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Find the characteristic function of the geometric distribution given by P(X = r)
= q' p, r = 0, 1, 2, ..., ∞, p + q = 1.
%3D
Hence find the mean and variance.
Transcribed Image Text:Find the characteristic function of the geometric distribution given by P(X = r) = q' p, r = 0, 1, 2, ..., ∞, p + q = 1. %3D Hence find the mean and variance.
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