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Determinantal probability densities at two-qubit separability-entanglement boundary and associated Fisher information
Determinantal probability densities two-qubit separability-entanglement boundary associated Fisher information
2013/4/28
The determinants (|rho^{PT}|) of the partial transposes of 4 x 4 density matrices (rho) have possible values in the interval [-1/16, 1/256], and are nonnegative if and only if rho is separable. In arX...
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...
On the definition of probability densities and sufficiency of the likelihood map
the definition of probability densities sufficiency of the likelihood map
2009/9/22
The defiition and sufficiency of the likelihood map are
discussed in detail. It is shown that the likelihood map is sdlicient
without any restriction on the family of probability measures and that
...
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...
Computation of Power Loss in Likelihood Ratio Tests for Probability Densities Extended by Lehmann Alternatives
Computation Power Loss Likelihood Ratio Tests Probability Densities Lehmann Alternatives
2010/4/27
We compute the loss of power in likelihood ratio tests when we test
the original parameter of a probability density extended by the first
Lehmann alternative.
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...