Actuarial Outpost Any summary list for scale family?
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#1
06-20-2017, 10:08 AM
 XXXDDD CAS SOA AAA Join Date: Dec 2016 College: University of Toronto Posts: 20
Any summary list for scale family?

Sorry this might be a dumb question. As the title asked, Is there a list of scale family for random variables so that I don't need to prove them one by one?

Just make sure I stated clearly.
scale family is: if Y~ some distribution then cY ~ the same distribution as well (e.g. exponential), where c is a constant.

#2
06-20-2017, 12:55 PM
 angryleslieknope Member CAS Join Date: Apr 2016 Studying for 6 College: Roll Tide Posts: 261

Quote:
 Originally Posted by XXXDDD Sorry this might be a dumb question. As the title asked, Is there a list of scale family for random variables so that I don't need to prove them one by one? Just make sure I stated clearly. scale family is: if Y~ some distribution then cY ~ the same distribution as well (e.g. exponential), where c is a constant. Thanks in advance!
Any time you see theta as a parameter on the SOA tables, it's a scale parameter.
#3
06-20-2017, 01:28 PM
 Jim Daniel Member SOA Join Date: Jan 2002 Location: Davis, CA College: Wabash College B.A. 1962, Stanford Ph.D. 1965 Posts: 2,720

Quote:
 Originally Posted by angryleslieknope Any time you see theta as a parameter on the SOA tables, it's a scale parameter.
Except for Inverse Gaussian.
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#4
06-20-2017, 10:47 PM
 XXXDDD CAS SOA AAA Join Date: Dec 2016 College: University of Toronto Posts: 20

Quote:
 Originally Posted by angryleslieknope Any time you see theta as a parameter on the SOA tables, it's a scale parameter.
Thanks, man! Appreciated!
#5
06-20-2017, 10:48 PM
 XXXDDD CAS SOA AAA Join Date: Dec 2016 College: University of Toronto Posts: 20

Quote:
 Originally Posted by Jim Daniel Except for Inverse Gaussian.
Thanks for the following up mate!
#6
06-22-2017, 04:54 AM
 bosskungzaa SOA Join Date: Nov 2016 College: Mahidol university third generation Posts: 3

a bit more if lognormal with r% then u+ln(1+r%)

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