An efficient method for finding a better maximizer of computationally extensive probability distributions is proposed on the basis of a Bayesian optimization technique. A key idea of the proposed method is to use extreme values of acquisition functions by Gaussian processes for the next training phase, which should be located near a local maximum or a global maximum of the probability distribut...

A modified Student’s t distribution is suggested for small scale fading statistics in line of sight and non line of sight conditions where the number of scatterers is small, and the central limit theorem does not hold. The new model is superior to the previously suggested POCA distribution, and has the natural characteristic of radial symmetry. The new model was tested against channel response ...

We consider statistical models which have been proposed for luminosity distributions for the globular clusters in the Milky Way and M31. Although earlier research showed that the cluster luminosity functions in those two galaxies were well fit by Gaussian distributions, subsequent investigations suggested that their luminosities were better fit by t-, rather than Gaussian, distributions. By app...

This paper proposes statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions. We first assume phase-spectrum differences between two signals to be random variables following a linear distribution. Next, based on directional statistics, we convert the linear distribution into a wrapped distribution by wrapping the linear distributio...

A brief introduction is given to some aspects of the statistical description of the luminous matter distribution. I review the features of the redshift surveys that arise in the statistical analysis of the galaxy clustering. Special topics include intensity functions, correlation functions, correlation integrals, multifractals and multiscaling.

A brief introduction is given to some aspects of the statistical description of the luminous matter distribution. I review the features of the redshift surveys that arise in the statistical analysis of the galaxy clustering. Special topics include intensity functions, correlation functions, correlation integrals, multifractals and multiscaling.

For quantitative randomized response models, optimal unbiased estimation of regular functionals of distribution functions is considered. In this context, distribution theory of Hoeffding's U-statistics and von Mises' differentiable statistical functions is extended to randomized response models. Estimation of the basic distributions is also considered.