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Parameter - Probability theory | | Parameter - Probability theory: Encyclopedia II - Parameter - Probability theory | | In probability theory, one may describe the distribution of a random variable as belonging to a family of probability distributions, distinguished from each other by the values of a finite number of parameters. For example, one talks about "a Poisson distribution with mean value λ", or "a normal distribution with mean μ and variance σ2". The latter formulation and notation leaves some ambiguity whether σ or σ2 is the second parameter; the distinction is not always relevant.
It is possible to use the sequence of moments (mean, mean square, ...) or cumulants (mean, variance, .. ...
See also:Parameter, Parameter - Types of parameter, Parameter - Mathematical, Parameter - Computer science, Parameter - Logic, Parameter - Engineering, Parameter - Analytic geometry, Parameter - Mathematical analysis, Parameter - Probability theory, Parameter - Statistics | | | Parameter, Parameter - Analytic geometry, Parameter - Computer science, Parameter - Engineering, Parameter - Logic, Parameter - Mathematical, Parameter - Mathematical analysis, Parameter - Probability theory, Parameter - Statistics, Parameter - Types of parameter, Parametrization (i.e., coordinate system), Parametrization (climate), Parsimony (with regards to the trade-off of many or few parameters in data fitting) | | |
| | | Parameter: Encyclopedia II - Parameter - Probability theory
Parameter - Probability theory
In probability theory, one may describe the distribution of a random variable as belonging to a family of probability distributions, distinguished from each other by the values of a finite number of parameters. For example, one talks about "a Poisson distribution with mean value λ", or "a normal distribution with mean μ and variance σ2". The latter formulation and notation leaves some ambiguity whether σ or σ2 is the second parameter; the distinction is not always relevant.
It is possible to use the sequence of moments (mean, mean square, ...) or cumulants (mean, variance, ...) as parameters for a probability distribution.
Other related archivesAccuracy disputes, Bayesian estimation, Mathematical terminology, Parametrization, Parametrization (climate), Parsimony, Pearson, Poisson distribution, Spearman, Statistics, analytic geometry, audio filter, change of variable, classical estimation, combinatory logic, computing, constants, coordinate system, cumulants, curves, definitions used in computer science, distribution, engineering, estimating, flight data recorder, frequency, function, functional programming, graphic equaliser, lambda calculus, logic, mathematical analysis, mathematics, moments, normal distribution, parameter (computer science), parametric equaliser, parametric equation, probability distributions, probability theory, random variable, statistics, testing hypotheses
 Adapted from the Wikipedia article "Probability theory", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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