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On the Statistical Distribution Function Theory of Traffic Flow [PDF]

open access: possibleOperations 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   +2 more
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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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The Asymptotic Distribution Theory of Bivariate Order Statistics

Annals of the Institute of Statistical Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Statistical Group Theory and the Distribution of Angular Momentum States

Journal of Mathematical Physics, 1971
The problem of developing relations for the statistical distribution of the angular momentum states of an electron configuration lN, where l and N are large, has been considered. If D(L) is the number of times the orbital angular momentum L occurs, then, using the theory of partitions and groups, we find that the numbers D(L) are approximately ...
Cleary, J. G., Wybourne, B. G.
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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   +2 more
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Application of Catastrophe Theory for Multimodal Distributions Statistical Analysis

Theory of Probability & Its Applications, 2005
Summary: This work considers the application of catastrophe theory methods (classification of smooth mappings) to the construction of analytical models of objects and processes based on statistical data. Multimodal one-dimensional statistical distributions are compared to catastrophe models of corank 1, i.e., the \(A_N\) series catastrophes.
Glukhova, S. I., Palkin, E. A.
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Statistical Theory and Methods for Comparing Distributions

2020
With the recent advancement of data collection techniques, there has been an explosive growth in the sizeand complex of data sets in many application domains. The rise of such unprecedented data has posed newchallenges as well as new opportunities to researchers in statistics and data science.
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On an Application of the Student Distribution in the Theory of Probability and Mathematical Statistics

Theory of Probability & Its Applications, 2005
Summary: This paper deals with the mathematical basis of the possibility of using a Student distribution in problems of descriptive statistics. We especially separate the case where the Student distribution parameter (``the number of degrees of freedom'') is small.
Bening, V. E., Korolev, V. Yu.
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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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Applications of a statistical theory in residence time distributions

AIChE Journal, 1993
The objectives of the work are twofold: (1) To provide insights into the relations of a RTD function between its mathematical formalism and its physical implications, or its practical application potential; (2) To demonstrate advantages of the statistical concept over the traditional mass-balance approach in deriving the RTD functions in systems ...
Liqin Chen, Guo‐Hua Hu
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