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Statistics 統計學




CE
會考

解說



 
Moment-Generating Function : Binomial Moments

MGF ﹕Mx( t ) = E( e t x ) = Σe t x f( x )

Binomial 的函式﹕ nCr p x q n-x

因此,

Mx( t ) = Σe t x nCr p x q n-x
= Σ nCr ( e t p ) x q n-x
<=== nCr A x B n-x = ( A + B ) n
=Σ ( e t p + q ) n
= ( e t p + q ) n


Determine the First Moment about the Origin


Determine the Second Moment about the Origin

 



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