Arcsine Distribution The PDF is $$ \frac{1}{\pi\sqrt{x(1-x)}} $$ for $x\in [0,1]$. It can also be …
Two categories with probability $p$ and $1-p$ respectively. For each experiment, the sample space is …
Beta Distribution Interact Alpha Beta mode ((beta_mode)) median ((beta_median)) mean ((beta_mean)) …
The number of successes in $n$ independent events where each trial has a success rate of $p$. PMF: …
By generalizing the Bernoulli distribution to $k$ states, we get a categorical distribution. The …
Cauchy-Lorentz Distribution .. ratio of two independent normally distributed random variables with …
Gamma Distribution PDF: $$ \frac{\beta^\alpha x^{\alpha-1} e^{-\beta x}}{\Gamma(\alpha)} $$ …
Also known as the second central moment is a measurement of the spread.
Jackknife resampling method
Definition two series of data: $X$ and $Y$ cooccurance of them: $(x_i, x_j)$, and we assume that …
Bayes’ Theorem is stated as $$ P(A\mid B) = \frac{P(B \mid A) P(A)}{P(B)} $$ $P(A\mid B)$: …
The three levels of controlled experiments
The basics and all of modern statistics