Actuarial Outpost SOA Sample Questions, #58
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 Short-Term Actuarial Math Old Exam C Forum

#1
10-11-2007, 07:04 PM
 EaglesFan Member Join Date: Nov 2005 Posts: 1,540
SOA Sample Questions, #58

In the solution using the Bayes Method, when it says it is proportional to Lamda to the 335th power, why is it not to the 334th if there is a Lamda in the denominator? (Probably wouldn't make a difference in the answer choice, but I'm curious).
#2
10-24-2007, 11:41 AM
 campbell Mary Pat Campbell SOA AAA Join Date: Nov 2003 Location: NY Studying for duolingo and coursera Favorite beer: Murphy's Irish Stout Posts: 88,626 Blog Entries: 6

It is proportional to lambda to the 334th power... I think it's a typo, because they should have it look like: $\alpha \frac{\lambda^{335} e^{-2000\lambda}}{\lambda}$ so it's more obviously a gamma distribution with parameters 335 and 1/2000. Remember the gamma distribution has an "extra" lambda in the denominator.
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#3
10-24-2007, 11:47 AM
 EaglesFan Member Join Date: Nov 2005 Posts: 1,540

Thanx.....Kind of surprising that in all this time SOA hasn't cleaned up the typo. It'd also be kind of cool if they invested an hour or two to give us some sample FE questions for Exam C (which I think they sort of promised or at least hinted were forthcoming at some point) but hey....C'est Lavie.
#4
01-26-2019, 07:05 AM
 phuwanut1412 SOA Join Date: May 2018 College: Alumni Posts: 26

Can I apply conjugate shortcut for this question?
E.g. aplha’ = alpha + x1 +x2
#5
01-26-2019, 08:39 AM
 Jim Daniel Member SOA Join Date: Jan 2002 Location: Davis, CA College: Wabash College B.A. 1962, Stanford Ph.D. 1965 Posts: 2,716

Quote:
 Originally Posted by phuwanut1412 Can I apply conjugate shortcut for this question? E.g. aplha’ = alpha + x1 +x2
Yes.
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#6
01-26-2019, 10:29 AM
 Academic Actuary Member Join Date: Sep 2009 Posts: 8,746

Quote:
 Originally Posted by EaglesFan Thanx.....Kind of surprising that in all this time SOA hasn't cleaned up the typo. It'd also be kind of cool if they invested an hour or two to give us some sample FE questions for Exam C (which I think they sort of promised or at least hinted were forthcoming at some point) but hey....C'est Lavie.
I looked at the sample solution and I didn't see the statement that it's proportional to lambda to the 335th. It states it's a gamma with parameter 335. It does however have an exponent of 105 which should be 334.