In article <firstname.lastname@example.org>, Paul <email@example.com> wrote:
> I'm following Keeney's interpretation of risk aversion at > http://tinyurl.com/d2jskgb. For a lottery involving the addition of a > small-valued zero-mean 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?