sufficient statistic

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• Sufficient statistic — In statistics, a sufficient statistic is a statistic which has the property of sufficiency with respect to a statistical model and its associated unknown parameter, meaning that no other statistic which can be calculated from the same sample… …   Wikipedia

• Ancillary statistic — In statistics, an ancillary statistic is a statistic whose probability distribution does not depend on which of the probability distributions among those being considered is the distribution of the statistical population from which the data were… …   Wikipedia

• Summary statistic — Box plot of the Michelson–Morley experiment, showing several summary statistics. In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate the largest amount as simply as possible.… …   Wikipedia

• Sufficiency (statistics) — In statistics, sufficiency is the property possessed by a statistic, with respect to a parameter, when no other statistic which can be calculated from the same sample provides any additional information as to the value of the parameter cite… …   Wikipedia

• Exponential family — Not to be confused with the exponential distribution. Natural parameter links here. For the usage of this term in differential geometry, see differential geometry of curves. In probability and statistics, an exponential family is an important… …   Wikipedia

• Completeness (statistics) — In statistics, completeness is a property of a statistic in relation to a model for a set of observed data. In essence, it is a condition which ensures that the parameters of the probability distribution representing the model can all be… …   Wikipedia

• Rao–Blackwell theorem — In statistics, the Rao–Blackwell theorem is a result which characterizes the transformation of an arbitrarily crude estimator into an estimator that is optimal by the mean squared error criterion or any of a variety of similar criteria. The Rao… …   Wikipedia

• Minimum-variance unbiased estimator — In statistics a uniformly minimum variance unbiased estimator or minimum variance unbiased estimator (UMVUE or MVUE) is an unbiased estimator that has lower variance than any other unbiased estimator for all possible values of the parameter. The… …   Wikipedia

• Fisher information — In statistics and information theory, the Fisher information (denoted mathcal{I}( heta)) is the variance of the score. It is named in honor of its inventor, the statistician R.A. Fisher.DefinitionThe Fisher information is a way of measuring the… …   Wikipedia

• Fiducial inference — was a form of statistical inference put forward by R A Fisher in an attempt to perform inverse probability without prior probability distributions.A fiducial interval may be used instead of a confidence interval or a Bayesian credible interval in …   Wikipedia

• Basu's theorem — In statistics, Basu s theorem states that any complete sufficient statistic is independent of any ancillary statistic. This is a 1955 result of Debabrata Basu.It is often used in statistics as a tool to prove independence of two statistics, by… …   Wikipedia