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Gamma Distr

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Gamma Distr

sum of ind random variables X_i - G(x,a_i,b_i) is Gamma distr and parameters?


Hehe, a great 7x7x41 for you too pahio!

2009

= 4:2 x 13:1

= (1:2):(1:1) x (6:1):1

= (1:(1:1)):(1:1) x ((1:1 x 2:1):1):1

= (1:(1:1)):(1:1) x ((1:1 x (1:1):1):1):1

o--o
|
o--o o--o o--o
| | |
o--o o--o o=====o--o
| | |
o-----o o--o
| |
= @===========o

Refs:
http://www.research.att.com/~njas/sequences/A061396
http://stderr.org/pipermail/inquiry/2005-July/002853.html

Jon Awbrey

they lied about the whitespace ...

` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` o--o` `
` ` ` ` ` ` ` ` ` ` ` ` | ` ` `
` ` ` ` `o--o ` ` o--o o--o` `
` ` ` ` `|` ` ` ` | ` ` | ` ` `
` ` ` o--o` o--o` o=====o--o` `
` ` ` | ` ` | ` ` | ` ` ` ` ` `
` ` ` o-----o ` ` o--o` ` ` ` `
` ` ` | ` ` ` ` ` | ` ` ` ` ` `
= ` ` @===========o ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

Jon

Hey Jon, I understand (1:(1:1)):(1:1) x ((1:1 x (1:1):1):1):1, but Could you please explain how this diagram is generated?

ohh... I deciphered it, explaination not needed anymore

oh, i cannot resist a redundant explanation ...

"redundancy is the essence of information", y'know ...

what's at root here is a 1-1 correspondence between the set N of positive integers and the set (N ~> N) of finite partial functions from N to N.

writing the ordered pair (x,y} as x:y, we have the correspondence:

1 <-> {} = the empty function
2 <-> {1:1}, since p_1^1 = 2
3 <-> {2:1), since p_2^1 = 3
4 <-> {1:2}, since p_1^2 = 4

usw ...

jon

Good New Year for all members!

M_T((b1-b2)*x) where k1, k2 are the rate parameters of each gama r.v and M_T denotes ... The distribution of the sum of independent gamma random variables, ...

M_T((b1-b2)*x) where k1, k2 are the rate parameters of each gama r.v and M_T denotes ... The distribution of the sum of independent gamma random variables, ...

oh,,this is a hard one...

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