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Proving Sum of Binomials via MGF by frankmutegeki is a document available to read on EtoBox.
What is Proving Sum of Binomials via MGF about?
The document outlines a proof that the sum of two independent Binomial random variables, X and Y, follows a Binomial distribution using Moment Generating Functions (MGFs). It details the steps to find the MGF of X+Y, substitute the individual MGFs, simplify the expression, and compare it with the MGF of a Binomial distribution with parameters m+n and p. The conclusion is that if the MGFs match, it confirms that X+Y is distributed as Binomial(m+n, p).
- Author
- frankmutegeki
- Language
- EN