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Earn +20 ptsQ: How do you obtain moment generating function Log-normal distribution?
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Uniform distribution and moment generating function?
See: http://en.wikipedia.org/wiki/Uniform_distribution_(continuous)
Obtaining moment generating function of poisson distribution?
The MGF is exp[lambda*(e^t - 1)].
What is the moment generating function for normal distribution with mean 20 and variance 25?
It is exp(20t + 25/2*t^2).
How do you derive Moment generating function of Pareto distribution?
The moment generating function for any real valued probability distribution is the expected value of e^tX provided that the expectation exists.For the Type I Pareto distribution with tail index a, this isa*[-x(m)t)^a*Gamma[-a, -x(m)t)] for t < 0, where x(m) is the scale parameter and represents the least possible positive value of X.
Moment generating and the cumulant generating function of poisson distribution?
The moment generating function is M(t) = Expected value of e^(xt) = SUM[e^(xt)f(x)] and for the Poisson distribution with mean a inf = SUM[e^(xt).a^x.e^(-a)/x!] x=0 inf = e^(-a).SUM[(ae^t)^x/x!] x=0 = e^(-a).e^(ae^t) = e^[a(e^t -1)]
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