Help needed, Regarding Gamma Distribution

  • Thread starter ayazkhan
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Main Question or Discussion Point

I hav a random variable X which is gamma-distributed with scale θ and shape k, i-e
X ~ gamma(k,θ);
Now I have another variable, Y= 1+X, is Y gamma-ditributed? if yes what will be the scale and shape parametrs for Y, and what will be the expression for the probability density function of Y.

Please help
Thanks in advance
Ayaz
 

Answers and Replies

18
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y = 1+x

p(y<Y) = cdf of y

p(1+X<Y)

P(X<Y-1) subst Y-1 in the cumulative density function of X and differentiate to get the pdf of X.
 

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