Grinstead-Snell-Probability · Problem 10.3.2

Markov Chains

Mathematics · moment-generating-functions-continuous

Problem

For each of the densities in Exercise 1 calculate the first and second moments,

\mu_1

and

\mu_2

, directly from their definition and verify that

g(0) = 1

g'(0) = \mu_1

, and

g''(0) = \mu_2