Statistics

Hypothesis testing in statistics

Basics of statistics

Survival probabilities

Monte Carlo method is a fantastic numerical integration method

Given two uniform marginals, we can apply the inverse cdf of a continuous distribution to form a new …

Useful when centering a vector around its mean

Betweenness centrality of a node $v$ is measurement of how likely the shortest path between two …

Given a graph with adjacency matrix $\mathbf A$, the eigenvector centrality is $$ \mathbf e_u = …

Local Clustering Coefficient $$ c_u = \frac{ \lvert (v_1,v_2)\in \mathcal E: v_1, v_2 \in \mathcal …

Node degree of a node $u$ $$ d_u = \sum_{v\in \mathcal V} A[u,v], $$ where $A$ is the adjacency …

The Weisfeiler-Lehman kernel is an iterative integration of neighborhood information. We initialize …

Likelihood is not necessarily a pdf

Jensen’s inequality shows that $$ f(\mathbb E(X)) \leq \mathbb E(f(X)) $$ for a concave …

Ask for valid confidence: “Valid”: validate for test data, train data, or the generating …

The conditional probability table is also called CPT

Bonferroni correction is very useful in a multiple comparison problem

In a multiple comparisons problem, we deal with multiple statistical tests simultaneously. Examples …