Question: The negative binomial probability mass function is f y y y , , ( ) = +

The negative binomial probability mass function is f y y y , , π α

α

α

π π α ( ) = + −

−

⎛

⎝

⎜ ⎞

⎠

⎟ ( ) − 1 1

1 for y = > 012 0 0 1 ,,, , … α π and ≤ ≤

Show that the negative binomial is a member of the exponential family.

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