Hi

I'm having bit of trouble proving this fact.

Attachment 8657

can someone help me with the proof? or at least lead me thru it?

Thanks

-AC

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- November 11th 2008, 10:05 AMJHUBmorebeta distribution probability density function proof
Hi

I'm having bit of trouble proving this fact.

Attachment 8657

can someone help me with the proof? or at least lead me thru it?

Thanks

-AC - November 11th 2008, 10:52 AMgalactus
Prove

....**[1]**

Start with

Now, put , and we get:

....**[2]**

Similarly, (the dummy integration variable can be any letter):

Next, we multiply these 2 equations and change to polar coordinates:

....**[3]**

The r integral in**[3]**is by**[2]**.

The in**[3]**is by

Then, and**[1]**follows. - November 11th 2008, 02:54 PMJHUBmore
Wow! that was quick!

Thanks for the help!