Theorem 7-13. µ' = E {X (X – 1) ... (X-r+ 1)} = P (). ,where u is the rth factorial moment of X. s=1

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.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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Prove the theorem

Theorem 7-13. µ') = E {X (X – 1) ... (X = r+ 1)} = P ()
%3D
, where u' is the rth
Əs
factorial moment of X.
s=1
Transcribed Image Text:Theorem 7-13. µ') = E {X (X – 1) ... (X = r+ 1)} = P () %3D , where u' is the rth Əs factorial moment of X. s=1
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