Statistics

The conditional probability table is also called CPT

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 {% include extras/vue.html %} ((makeGraph))

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 $$ P(A\mid B) = \frac{P(B \mid A) P(A)}{P(B)} $$ $P(A\mid B)$: …

Poisson Process Statistics // define getUnixTime Date.prototype.getUnixTime = function () { …

The three levels of controlled experiments