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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...
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...