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Glossary of probability and statistics and Probability

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Glossary of probability and statistics and Probability

Glossary of probability and statistics vs. Probability

Most of the terms listed in Wikipedia glossaries are already defined and explained within Wikipedia itself. Probability is the measure of the likelihood that an event will occur.

Similarities between Glossary of probability and statistics and Probability

Glossary of probability and statistics and Probability have 21 things in common (in Unionpedia): Bayes' theorem, Complementary event, Conditional probability, Estimation theory, Estimator, Event (probability theory), Independence (probability theory), Joint probability distribution, Likelihood function, Mathematics, Mutual exclusivity, Posterior probability, Prior probability, Probability axioms, Probability density function, Probability distribution, Probability space, Sample space, Statistical inference, Statistical model, Statistics.

Bayes' theorem

In probability theory and statistics, Bayes’ theorem (alternatively Bayes’ law or Bayes' rule, also written as Bayes’s theorem) describes the probability of an event, based on prior knowledge of conditions that might be related to the event.

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Complementary event

In probability theory, the complement of any event A is the event, i.e. the event that A does not occur.

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Conditional probability

In probability theory, conditional probability is a measure of the probability of an event (some particular situation occurring) given that (by assumption, presumption, assertion or evidence) another event has occurred.

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Estimation theory

Estimation theory is a branch of statistics that deals with estimating the values of parameters based on measured empirical data that has a random component.

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Estimator

In statistics, an estimator is a rule for calculating an estimate of a given quantity based on observed data: thus the rule (the estimator), the quantity of interest (the estimand) and its result (the estimate) are distinguished.

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Event (probability theory)

In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned.

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Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.

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Joint probability distribution

Given random variables X, Y,..., that are defined on a probability space, the joint probability distribution for X, Y,...

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Likelihood function

In frequentist inference, a likelihood function (often simply the likelihood) is a function of the parameters of a statistical model, given specific observed data.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Mutual exclusivity

In logic and probability theory, two events (or propositions) are mutually exclusive or disjoint if they cannot both occur (be true).

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Posterior probability

In Bayesian statistics, the posterior probability of a random event or an uncertain proposition is the conditional probability that is assigned after the relevant evidence or background is taken into account.

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Prior probability

In Bayesian statistical inference, a prior probability distribution, often simply called the prior, of an uncertain quantity is the probability distribution that would express one's beliefs about this quantity before some evidence is taken into account.

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Probability axioms

In Kolmogorov's probability theory, the probability P of some event E, denoted P(E), is usually defined such that P satisfies the Kolmogorov axioms, named after the Russian mathematician Andrey Kolmogorov, which are described below.

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Probability density function

In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.

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Probability distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Probability space

In probability theory, a probability space or a probability triple (\Omega, \mathcal, P) is a mathematical construct that models a real-world process (or “experiment”) consisting of states that occur randomly.

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Sample space

In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.

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Statistical inference

Statistical inference is the process of using data analysis to deduce properties of an underlying probability distribution.

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Statistical model

A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of some sample data and similar data from a larger population.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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The list above answers the following questions

Glossary of probability and statistics and Probability Comparison

Glossary of probability and statistics has 188 relations, while Probability has 158. As they have in common 21, the Jaccard index is 6.07% = 21 / (188 + 158).

References

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