sufficient statistic


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sufficient statistic

[sə¦fish·ənt stə′tis·tik]
(mathematics)
A statistic that contains all the information that can possibly be obtained from a sample to estimate a specified parameter of the sampled population.
References in periodicals archive ?
A widely known article by Diamond and Saez (2011; DS hereafter) uses a technique known as the sufficient statistic approach to predict the top of the Laffer curve.
Guided by four predictions from a general equilibrium trade model, he found that railways '(1) decreased trade costs and interregional price gaps; (2) increased interregional and international trade; and (3) increased real income levels and that (4) a sufficient statistic [defined below] for the effect of railroads on welfare in the model (an effect that is purely due to newly exploited gains from trade) accounts for virtually all the observed reduced-form impact of railroads on real income in the data'.
Responding to a question, Yellen said, "The unemployment rate is not a sufficient statistic for the state of the labor market.
Moreover, [0] is a sufficient statistic for the PPS variables, and therefore, PPS variables merely re-express the overall mean difference between groups and contain no information about qualitative differences in performance between Black and White students at similar levels of [0] .
The approach Kimball and Willis propose steers a middle course between the two polar views that "happiness is irrelevant to economics" and the view that "happiness is a sufficient statistic for utility.
Chamberlain [1982, 1984] suggests maximizing a likelihood function that is conditional on a sufficient statistic summarizing the latent characteristics.
There are no sufficient statistics issued about the number of special needs people here in the UAE.
Among his topics are probability theory, multiple random variables, expectation and moments, random processes, and sufficient statistics and parameter estimation.
As a member of the exponential family, the RRM offers several advantages: 1) Existence of non trivial sufficient statistics and possibility of specific objective parameter estimation; 2) Feasibility of conditional inference; 3) Known conditions for identifiability of the model parameters; 4) Known necessary and sufficient conditions for existence and the uniqueness of the Conditional Maximum Likelihood (CML) estimates; 5) Existence of a conditional likelihood ratio test for goodness of fit.
Dynkin, Necessary and sufficient statistics for families of distributions, Uspekhi Mat.
k]) is the sufficient statistics of complete data, and
This update of the 1995 edition (co-authored by John Hemingway) continues to emphasize the practical application of gamma spectrometry, one of the key techniques in measuring radioactive materials, while including sufficient statistics to understand relevant matters.