Derive the mean and the variance N/ M₁ 0-2) using Theorem 19 OF

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Derive the mean and variance using theorem 19
Theorem 19
If X is a random variable whose pdf belongs to the k-parameter exponential family, then
k
dc:(0)
E E
d;(X)
- In a(@)
i=1
k
dc:(0)
k
Var E
-d;(X)
- In a(0) – E
-d;(X)
i=1
i=1
Transcribed Image Text:Theorem 19 If X is a random variable whose pdf belongs to the k-parameter exponential family, then k dc:(0) E E d;(X) - In a(@) i=1 k dc:(0) k Var E -d;(X) - In a(0) – E -d;(X) i=1 i=1
Derive the mean and the varidnce of
N ( M.o?) usiny Tngo rem I 1
Transcribed Image Text:Derive the mean and the varidnce of N ( M.o?) usiny Tngo rem I 1
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