Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re: Linear approximation to certainty equivalent for smallvalued random variable
Posted:
Nov 18, 2012 3:37 PM


In article <c4ea0a57b2f44cad8cd8e606a1e57863@m4g2000yqf.googlegroups.com>, Paul <paul.domaskis@gmail.com> wrote:
> I'm following Keeney's interpretation of risk aversion at > http://tinyurl.com/d2jskgb. For a lottery involving the addition of a > smallvalued zeromean random variable x~ to a (presumably much > larger) offset x0, the definition of risk premium (equation 4.15) is > Taylor expanded (4.16 and 4.17) before dropping all terms beyond first > order (4.18). > > I can see why this is justified in 4.17, but I'm not 100% sure in > 4.16. Usually, higher order terms are dropped when small numbers are > raised to high powers. In 4.16 this case, would the reason be that pi > is small? It is after all the risk premium for x~. Since x~ is very > small, the expectation and the mean are small. x~ is the difference > between expectation and mean, and so it must be small?
You may be lucky enough to get an answer here, but have you tried the <alt.sci.math.probability> or <sci.stat.math> news group?
Ken Pledger.



