Jose Garrido
----- Original Message -----
From: Christopher Diamantoukos <chrisd@voicenet.com>
To: Rob Coridan <coridan.1@osu.edu> CASNET <casnet@lists.casact.org>
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Sent: Thursday, March 18, 1999 7:23 PM
Subject: Taylor Series in Actuarial Science.
>I don't know how I recieved this letter, but perhaps this can get to the
>CAS list.
>
>In reply, there are two conceptual applications that I have encountered
>Taylor Series in actuarial science applications:
>
>1. The convergence of a development or extrapolation parameter, such as
>the estimated mean age-to-ultimate "loss" development factor.
>
>2, The approximation of statistical parameters to a desired degree of
>"significance", such as the first or second order approximation of the
>variance of an analytical random variable form. An example of such a
>form might be a simple form of x/y, where interest is in the random
>variable z that is equal to this analytical random variable form, i.e.
>z=x/y.
>
>I hope this stimulates some discussion.
>
>Christopher Diamantoukos, FCAS
>
>Rob Coridan wrote:
>
>> Hello, I'm sorry to bother you, but my name is Robert Coridan and
>> I am a student in the Actuarial Science at the Ohio State University.
>> We've been learning several techniques for approximation in my
>> calculus class, and I was wondering....as actuaries, can you think of
>> an example of an instance where you would ever use the Taylor Series?
>> Any suggestions you can give me, no matter how brief, would be greatly
>> appreciated. Thank you! -Robert
>
>
>
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