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derivatives of Gaussian PDF’s
httpness: (studying statistics) Can there be a different standard deviation up and down? isomorphisms: Yes. it’s called a semideviation. (Or a quasinorm.) There are a lot of people who argue that semideviations and quasinorms are more natural than standard deviation … Continue reading
A “truly” random, uniform random, completely random sequence might look like ◯◯⨯◯⨯⨯⨯⨯◯◯⨯◯◯⨯⨯◯⨯◯◯⨯⨯◯⨯⨯◯⨯◯◯⨯◯R code: > xooooo = sample( c(“◯”, “⨯”) , 30, rep = T) like the flips of a fair coin. But there are other “random”s as well. Biased For example, … Continue reading
Leonardo da Vinci’s ability to embrace uncertainty, ambiguity, and paradox was a critical characteristic of his genius. —J Michael Gelb Say you want to use a mathematical metaphor, but you don’t want to be really precise. Here are some ways … Continue reading
In this paper an exhaustive characterization of financial markets was given. Dependence: Autocorrelation in returns if largely insignificant. (Exceptions being at the tick level and annual returns.) Distribution: Approximately symmetric, increasingly positive kurtosis as the time interval decreases and a … Continue reading