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Moment generating function and its applications?

Updated: 8/18/2019
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How is the mgf of Hypergeometric distribution driven?

A moment generating function does exist for the hypergeometric distribution.


How do you derive the moment generating function of an exponential distribution?

(1/x)e^-(y/x)


Uniform distribution and moment generating function?

See: http://en.wikipedia.org/wiki/Uniform_distribution_(continuous)


How do you obtain the moment generating function of a Poisson distribution?

Using the Taylor series expansion of the exponential function. See related links


What are the applications of battery at generating stations?

The applications of battery at the generating stations is that they are used for applications maintenance and test schedules.


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 find expectation and variance of a variable using moment generating functions?

The derivative of the moment generating function is the expectation. The variance is the second derivative of the moment generation, E(x^2), minus the expectation squared, (E(x))^2. ie var(x)=E(x^2)-(E(x))^2 :)


Applications of battery in generating station?

In a generating station the battery is used to test schedules.


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)]


Solutionsn of Moment-generating functions?

Your question did not identify one distribution in particular. I have provide in the related link the moment generating functions of various probability distributions.


What is the function of the mitochondrioa?

Energy generating.