Probability. An Introduction with Statistical Applications
1probability and statistics — ▪ mathematics Introduction the branches of mathematics concerned with the laws governing random events, including the collection, analysis, interpretation, and display of numerical data. Probability has its origin in the study of gambling… …
2Statistical hypothesis testing — This article is about frequentist hypothesis testing which is taught in introductory statistics. For Bayesian hypothesis testing, see Bayesian inference. A statistical hypothesis test is a method of making decisions using data, whether from a… …
3Statistical inference — In statistics, statistical inference is the process of drawing conclusions from data that are subject to random variation, for example, observational errors or sampling variation.[1] More substantially, the terms statistical inference,… …
4probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …
5Probability measure — In some cases, statistical physics uses probability measures, but not all measures it uses are probability measures.[1][2] In mathematics, a probability measure is a real valued function defined on a set …
6Copula (probability theory) — In probability theory and statistics, a copula can be used to describe the dependence between random variables. Copulas derive their name from linguistics. The cumulative distribution function of a random vector can be written in terms of… …
7Bayesian probability — Bayesian statistics Theory Bayesian probability Probability interpretations Bayes theorem Bayes rule · Bayes factor Bayesian inference Bayesian network Prior · Posterior · Likelihood …
8Law of total probability — In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities. Contents 1 Statement 2 Applications 3 Other names 4 See …
9Frequency probability — Statistical probability redirects here. For the episode of Star Trek: Deep Space Nine, see Statistical Probabilities. John Venn Frequency probability is the interpretation of probability that defines an event s probability as the limit of its… …
10Quantum probability — was developed in the 1980s as a noncommutative analog of the Kolmogorovian stochastic processes theory. One of its aims is to clarify the probabilistic mathematical foundations of quantum theory and its statistical interpretation.Significant… …
