Learn about the Gamma distribution and its properties in this comprehensive 1 hour 30 minute lecture. Explore the moment generating function (M.G.F) of the Gamma distribution, key properties of the Gamma function, and statistical measures such as mean and variance. Discover recursive properties and delve into proofs, including the relationship between Gamma(1/2) and pi. Master techniques like Euler's reflection formula and Beta integral method to enhance your understanding of this important probability distribution in statistics.
Overview
Syllabus
M.G.F of gamma distribution.
gamma property lecture 3.
property of gamma function no.2.
property of gamma function no.1.
variance of gamma distribution.
mean of Gamma distribution.
Recursive property of Gamma Function.
Zero Factorial is equal to One by using gamma property.
Proof of Gamma half is equal to square root of pi.
Proof of Gamma half(Method 1)using Euler's reflection formula. (Method 2)by Beta integral..
Taught by
Statistics is Fun A.H
