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Home > Probability theory

3 See also

• expectation
• likelihoodIn statistics, a likelihood function is a conditional probability function considered a function of its second argument with its first argument held fixed, thus: : and also any other function proportional to such a function. That is, the likelihood functi
• probability
• probability axioms
• probability distribution
• random variable
• statistical independence
• variance
• List of publications in statistics

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ProbabilityThe word probability derives from the Latin probare (to prove, or to test). Informally, probable is one of several words applied to uncertain events or knowledge, being more or less interchangeable with likely risky hazardous uncertain and doubtful depend Probability interpretationsThe word probability has been used in a variety of ways since it was first coined in relation to games of chance. There are two broad categories of probability interpretations: Frequentists assign probabilities only to random events according to their rel Probability axiomsThe probability of some event (denoted ) is defined with respect to a "universe" or sample space of all possible elementary events in such a way that must satisfy the Kolmogorov axioms. Alternatively, a probability can be interpreted as a measure on a &si Probability theoryProbability theory Discrete mathematics Mathematical analysis Probability theory is the mathematical study of probability. Mathematicians think of probabilities as numbers in the interval from 0 to 1 assigned to "events" whose occurrence or failure to occ Probability distributionIn mathematics, a probability distribution assigns to every interval of the real numbers a probability, so that the probability axioms are satisfied. In technical terms, a probability distribution is a probability measure whose domain is the Borel algebra Probability spaceIn mathematics, a probability space is a set S together with a σ-algebra X on S and a measure P on that σ-algebra such that P ''S 1. The set S is called the sample space and the elements of X are called the events. The measure P is called the Probability density function Probability and statistics Probability mass function Probability vector Probability-generating function Probability amplitude Probability of error Probability of kill