Prognostic assumed-probability-density-function (distribution density function) approach: further generalization and demonstrations [PDF]
Nonlinear Processes in GeophysicsA methodology for directly predicting the time evolution of the assumed parameters for distribution densities based on the Liouville equation, as proposed earlier, is extended to multidimensional cases and to cases in which the systems are constrained by
J.-I. Yano
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Nonlocal Probability Theory: General Fractional Calculus Approach
Mathematics, 2022 Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
Vasily E. Tarasov
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Asymptotic Probability Density Function of Nonlinear Phase Noise [PDF]
, 2003 The asymptotic probability density function of nonlinear phase noise, often called the Gordon-Mollenauer effect, is derived analytically when the number of fiber spans is very large.
Cameron +7 more
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Visualization techniques for spatial probability density function data
Data Science Journal, 2006 Novel visualization methods are presented for spatial probability density function data. These are spatial datasets, where each pixel is a random variable, and has multiple samples which are the results of experiments on that random variable.
Udeepta D Bordoloi +2 more
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Replacing Histogram with Smooth Empirical Probability Density Function Estimated by K-Moments
Sci, 2022 Whilst several methods exist to provide sample estimates of the probability distribution function at several points, for the probability density of continuous stochastic variables, only a gross representation through the histogram is typically used.
Demetris Koutsoyiannis
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The Calculation of the Density and Distribution Functions of Strictly Stable Laws
Mathematics, 2020 Integral representations for the probability density and distribution function of a strictly stable law with the characteristic function in the Zolotarev’s “C” parametrization were obtained in the paper.
Viacheslav Saenko
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A Lagrangian-based flame index for the transported probability density function method
Theoretical and Applied Mechanics Letters, 2022 We propose a new flame index for the transported probability density function (PDF) method. The flame index uses mixing flux projections of Lagrangian particles on mixture fraction and progress variable directions as the metrics to identify the ...
Zhen Lu +4 more
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Experimental Lagrangian Acceleration Probability Density Function Measurement [PDF]
, 2003 We report experimental results on the acceleration component probability distribution function at $R_\lambda = 690$ to probabilities of less than $10^{-7}$. This is an improvement of more than an order of magnitude over past measurements and allows us to
A.M. Crawford +15 more
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Best Probability Density Function for Random Sampled Data
Entropy, 2009 The maximum entropy method is a theoretically sound approach to construct an analytical form for the probability density function (pdf) given a sample of random events.
Donald J. Jacobs
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Strict calculation of the light statistics at the output of a travelling wave optical amplifier [PDF]
, 1993 A new method for calculating the probability density function of the photon number propagating through a travelling wave optical amplifier with no restriction on its working regime (linear and nonlinear) is reported. The authors show that the widely used
Guitart Felip, Jorge +1 more
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