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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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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 Methods for Geography

, 2020
Preface to the Second Edition Preface to the Third Edition Introduction to Statistical Methods for Geography Descriptive Statistics Probability and Discrete Probability Distributions Continuous Probability Distributions and Probability Models Inferential
P. Rogerson
semanticscholar   +1 more source

Statistical Theory of Bimolecular Exchange Reactions: Angular Distribution

The Journal of Chemical Physics, 1971
The statistical theory of chemical reactions is extended to describe the angular distributions of the products. The random phase approximation is used and the coefficients of the spherical harmonics are computed statistically. The distributions, symmetric about 90° in the center-of-mass frame, are then transformed to the lab frame. Application was made
R. A. White, J. C. Light
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Asymptotic distribution theory for general statistical functionals

Annals of the Institute of Statistical Mathematics, 1985
This short paper is complementary to the paper reviewed above, see Zbl 0585.62058. It gives conditions on the c.d.f. F and on general functionals T(F) implying the compact differentiability of T at F, along \(C^ 0(R)\). The asymptotic normality of statistical functionals more general than L- estimators is derived.
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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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Statistical theory of vibronic spectra: The intensity distributions

Journal of Quantitative Spectroscopy and Radiative Transfer, 1998
Abstract The method of moments, derived from the statistical theory of spectra, has been used to generate envelopes of the electronic bands in diatomic molecules. Adequately accurate envelopes have been generated using a trial function with adjustable asymptotic behaviour. In the cases considered, the Gram-Charlier-type expansions are divergent.
Dorota Bielińska-Wa̧ż   +1 more
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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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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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