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Exponential confidence interval based on the recursive Wolverton-Wagner density estimation
M. R. Formica, E. Ostrovsky, L. Sirota
We derive the exponential non improvable Grand Lebesgue Space norm decreasing estimations for tail of distribution for exact normed deviation for the famous recursive Wolverton-Wag…
Relations between growth of entire functions and behavior of its Taylor coefficients
M. R. Formica, E. Ostrovsky, L. Sirota
We derive in the closed and unimprovable form the bilateral non-asymptotic relations between growth of entire functions and decay rate at infinity of its Taylor coefficients. We in…
Method Monte-Carlo for solving of non-linear integral equations
M. R. Formica, E. Ostrovsky, L. Sirota
We offer in this short report a simple Monte-Carlo method for solving a well-posed non-linear integral equations of second Fredholm's and Volterra's type and built a confidence reg…
Signed variable optimal kernel for non-parametric density estimation
M. R. Formica, E. Ostrovsky, L. Sirota
We derive the optimal signed variable in general case kernels for the classical statistic density estimation, which are some generalization of the famous Epanechnikov's ones.
Analog of modulus of convexity for Grand Lebesgue Spaces
M. R. Formica, E. Ostrovsky, L. Sirota
We introduce and evaluate the degree of convexity of an unit ball, so-called, characteristic of convexity (COC) for the Grand Lebesgue Spaces, (GLS), which is a slight analog of th…