show that negative binomial distribution with the following pdf belongs to the exponential family 2. The Negative Binomial distribution:f(y;0)= ( ³ + ² = ¹ ) 0¹ (1 - 0) ³.y+r-1r-1

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Answered: show that negative binomial…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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show that negative binomial distribution with the following pdf belongs to the exponential family

2. The Negative Binomial distribution:
f(y;0)
= ( ³ + ² = ¹ ) 0¹ (1 - 0) ³.
y+r-1
r-1

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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