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An Asymptotic Nonnull Distribution of Hotelling's $T^2$-statistic under Eliptical Distributions (Asymptotic Statistical Theory)

An Asymptotic Nonnull Distribution of Hotelling's $T^2$-statistic under Eliptical Distributions (Asymptotic Statistical Theory)
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On the Statistical Distribution Function Theory of Traffic Flow

Operations Research, 1962
The homogeneous time-independent solution for a one-car speed distribution function is derived for a Boltzmann-like approach to the statistical theory of traffic flow. Numerical results are discussed for a number of different desired speed-distribution functions.
Anderson, Robert, Herman, Robert, Prigogine, Ilya   +2 more
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Jacobians of Singular Transformations with Applications to Statistical Distribution Theory

Communications in Statistics - Simulation and Computation, 1973
In the statistical distribution theory, frequent use is made of one-to-one transformations from an n×1 vector, x, of random variables to an n×1 vector, u, of random variables. In the context of this note, such a transformation would be described as nonsingular.
J. G. Saw
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Distribution Functions in the Statistical Theory of Turbulence

The Physics of Fluids, 1967
A hierarchy of coupled equations for multipoint turbulent velocity distribution functions is derived. These equations resemble the Bogoliubov-Born-Green-Kirkwood-Yvon equations of kinetic gas theory. The properties of the distribution functions and the equations are discussed and compared with kinetic theory.
T. Lundgren
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A statistical theory of spatial distribution models

Transportation Research, 1967
Alan Wilson
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Kendall's Advanced Theory of Statistics, Volume 1, Distribution Theory.

Biometrics, 1988
24. Kendall's Advanced Theory of Statistics. Volume 1. Distribution Theory, 5th Edition. By Alan Stuart and J. Keith Ord. ISBN 0 85264 285 7. Griffin, 1987. xv, 604 p. £40.00.
Oliver D. Anderson, A. Stuart, J. K. Ord
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Statistical Machine Learning Model for Stochastic Optimal Planning of Distribution Networks Considering a Dynamic Correlation and Dimension Reduction

IEEE Transactions on Smart Grid, 2020
Distributed generation and reactive power resource allocation will affect the economy and security of distribution networks. Deterministic scenario planning cannot solve the problem of network uncertainties, which are introduced by intermittent renewable
Xueqian Fu, Qinglai Guo, Hongbin Sun
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Strength distributions and statistical spectroscopy. I. General theory

Annals of Physics, 1977
Abstract The strength distribution for an arbitrary excitation is given in terms of a double expansion, and its sum rules by single expansions, in polynomials defined by the initial and final energy spectra. In model spaces which are not too large, a rapid convergence, to within fluctuations, is assured by the action of a central limit theorem, as is
J. P. Draayer, J. B. French, S. S. M. Wong   +2 more
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Yield optimization for arbitrary statistical distributions: Part I-Theory

IEEE Transactions on Circuits and Systems, 1980
This paper generalizes certain analytical formulas for yield and yield sensitivities so that design centering and yield optimization can be effectively carried out employing given statistical parameter distributions. The tolerance region of possible outcomes is discretized into a set of orthotopic cells.
Abdel-Malek, Hany L., Bandler, John W.
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