6.46 Suppose that Y has a gamma distribution with a = n/2 for some positive integer n and ß equal to some specified value. Use the method of moment-generating functions to show that W = 2Y/B has a x² distribution with n degrees of freedom.
6.46 Suppose that Y has a gamma distribution with a = n/2 for some positive integer n and ß equal to some specified value. Use the method of moment-generating functions to show that W = 2Y/B has a x² distribution with n degrees of freedom.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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