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References in periodicals archive ?
In the second part of the present paper, as application of our results mentioned above, we prove a quantum central limit theorem for observables [[partial derivative].sup.*.sub.k] + [[partial derivative].sub.k], k [greater than or equal to] 0.
Rio, "Asymptotic constants for minimal distance in the central limit theorem," Electronic Communications in Probability, vol.
[18] Clemens Heuberger, Sara Kropf, and Stephan Wagner, Variances and covariances in the central limit theorem for the output of a transducer, European J.
Central Limit Theorem: Let [x.sub.1], [x.sub.2],..., [x.sub.n] be iid F with finite mean ([mu]) and variance [[sigma].sup.2] .
The central limit theorem asserts that the PDF, P(y), of a variable y = ([xi]-m)/[sigma], where m = <[xi]> and [[sigma].sup.2] = <[([sigma]-m).sup.2]> = [??][[sigma].sup.2.sub.1] are the mean and the variance of [xi], approaches the normal distribution as [??] increases.
According to [28], [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] meets the application conditions of central limit theorem; that is, [??]([S.sub.1t]) obeys normal distribution.
Peng, "Law of large numbers and central limit theorem under nonlinear expectations," In press, abs/math/0702358.
Singh, Lucas, Dalpatadu, and Murphy challenge the current standard use of the central limit theorem to approximate confidence limits for casino win and rebates on loss on games that have a skewed distribution (such as slots and baccarat).
Those formulas involve all sorts of obscure concepts such as the central limit theorem, correlation coefficients, standard deviation and regression analyses--all involving mathematical wizardry that would be relegated to books in the restricted section of the Hogwarts library.
and in [section]4, we will give a central limit theorem for these quantities.
The seventh assignment asks students to explain the Central Limit Theorem in their own words and to outline the conditions that have to be met in order to apply its conclusions.