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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

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Tagged abstract algebra, assumption of constant variance, assumptions, beginner's mind, constant variance, directionality, dispersion, Gaussian, Gaussian distribution, homoscedasticity, homoskedasticity, interquartile range, IQR, kurtosis, math, mathematics, maths, moments, normal distribution, probability distribution, quasinorms, semideviation, statistics, summer, teaching, temperature, weather
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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