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Navier-stokes probability density function
European Journal of Mechanics - B/Fluids, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minotti, F. O., Ferro Fontán, C.
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THE MARGINAL PROBABILITY DENSITY FUNCTIONS OF WISHART PROBABILITY DENSITY FUNCTION
Far East Journal of Theoretical Statistics, 2018Summary: Here we directly evaluate an \(\begin{pmatrix}{m+1}\\{2}\end{pmatrix}\)-dimensional integral \[ \int_{\mathbf{S}_{m}>0}|\mathbf{S}_m|^{\frac{n-m}{2}-1}\exp(-\mathrm{tr}(\mathbf{S}_{\mathbf{m}}))\mathrm{d}\mathbf{S}_m \] as an integral representation of Wishart multivariate gamma function \(\Gamma_m\left(\frac{n-1}{2}\right)\), by deriving the ...
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2019
Abstract This chapter builds on probability distributions. Its focus is on general concepts associated with probability density functions (pdf’s), which are distributions associated with continuous random variables. The continuous uniform and normal distributions are highlighted as examples of pdf’s.
Therese M. Donovan, Ruth M. Mickey
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Abstract This chapter builds on probability distributions. Its focus is on general concepts associated with probability density functions (pdf’s), which are distributions associated with continuous random variables. The continuous uniform and normal distributions are highlighted as examples of pdf’s.
Therese M. Donovan, Ruth M. Mickey
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Statistical Probability Density Functions
2003Abstract Most structured finance analytical work will involve the selection of random numbers from given probability distributions. Consequently, the following is a brief overview of the distributions most likely to be encountered in a typical structured credit analysis.
Sylvain Raynes, Ann Rutledge
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An asymmetric probability density function
Physics of Fluids, 2023A probability density or distribution function of turbulence has been thought to be symmetric due to the symmetry of the partial differential equations from the first principles. However, the experimental data have been shown otherwise by a so-called Taylor correlation function, and this is an unresolved issue.
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Probability density function fit
Il Nuovo Cimento B, 1993A statistical method to test the level of agreement between random-variable measurements and a given theoretical probability density function is described.
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Sinepower probability density function
Journal of Hydrology, 1976As interesting new probability density function has been formulated to fit random data bounded on both sides, and which has a single mode within its range of values. A numerical example illustrates its application.
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Deriving parameter probability density functions
Reliability Engineering & System Safety, 1993Abstract The long-term performance of a nuclear fuel waste disposal system is typically studied by modelling potential releases of contaminants to the environment and the consequent health risk to humans. To deal with uncertainty in the estimated consequences of the releases, the behaviour of the disposal system may be repeatedly simulated under the ...
M.E. Stephens, B.W. Goodwin, T.H. Andres
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Correlation functions from probability densities
Computer Physics Communications, 1987Correlation functions are calculated from histograms of probability densities. This method allows to analyse correlations of higher moments from the data. At least for exploratory studies it is by far more practical than direct calculation of the correlations of higher moments during the simulation.
Berg, Bernd A., Devoto, Alberto
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Probability Density Functions and Kernel Density Estimation
2015Stochastic modeling loop in the stochastic optimization framework involves dealing with evaluation of a probabilistic objective function and constraints from the output data. Probability density functions (PDFs) are a fundamental tool used to characterize uncertain data. Equation 3.1 shows the definition of a PDF f of variable X.
Urmila Diwekar, Amy David
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