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Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasi-periodic edge of chaos
Probability densities sine-circle map chaos
2010/4/1
We investigate the probability density of rescaled sum of iterates of sine-circle map within quasi-periodic route to chaos. When the dynamical system is strongly mixing (i.e., ergodic), standard Centr...
Classification of probability densities on the basis of Pearson’s curves with application to coronal heating simulations
probability densities Pearson’s curves coronal heating simulations
2009/11/12
An important task for the problem of coronal heating is to produce reliable evaluation of the statistical properties of energy release and eruptive events such as micro-and nanoflares in the solar cor...
Parametric probability densities and distribution functions for Tukey g-and-h transformations and their use for fitting data
Distribution fitting Moments Monte Carlo Non-normality
2010/9/10
The family of g-and-h transformations are popular algorithms used for simulating non-normal distributions because of their simplicity and ease of execution. In general, two limitations associated with...
An Improper Integral Representation of Linnik's Probability Densities
Improper Integral Representation Probability Densities
2010/3/4
A representation of Linnik's Probability Densities by a contour integral distinct than the one given in [2] is obtained. An Improper integral representation of the same density functions is derived. A...