Probability theory

branch of mathematics concerning probability

function whose integral over a region describes the probability of an event occurring in that region

argument that posits that humans bet with their lives that God either exists or does not

function that returns 1 if an element is present in a specified subset and 0 if absent; naturally isomorphic with a set's subsets

axioms that are relevant to the probability theory

counting technique in combinatorics

statistical value representing the center or average of a distribution

event that happens with probability one

matrix-valued random variable

mathematical or physical system whose future states are not affected by random chance

Family closed under complements and countable unions of disjoint sets

law of truly large numbers is of statistics, with a large enough number of samples, any outrageous thing is likely to be observed

rule in probability

in probability theory, a rule for assigning epistemic probabilities

model of information available at a given point of a random process

certain metric on space of finite measures

vector with non-negative entries that add up to one

mathematical theory for dealing with certain types of uncertainty and is an alternative to probability theory

philosophical interpretation of the axioms of probability

theorem

mathematical concept

continuous in probability stochastic process with independent increments

theorem on normal random variables

statistical technique for smoothing categorical data

in mathematics, notion of limit for sequences of sets