The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.

For the problem of cable damage identification in cable-stayed bridges, we have presented a method for identifying based on deflection monitoring data from small number measurement points. We first describe to reduce analyzed distributional characteristics difference before and after bridges with optimized The derivative is transformed by wavelet transform identify location damaged cable. Then,...

A function which transforms a continuous random variable such that it has specified distribution is called replicating function. We suppose functions may be assigned price, and study an optimization problem in the cheapest approximation to sought. Under suitable regularity conditions, including bound on entropy of set candidate approximations, we show optimal comes close achieving distributiona...

We work under the Aïdékon–Chen conditions which ensure that derivative martingale in a supercritical branching random walk on line converges almost surely to nondegenerate nonnegative variable we denote by Z. It is shown EZ1{Z?x}=logx+o(logx) as x??. Also, provide necessary and sufficient EZ1{Z?x}=logx+const+o(1) This more precise asymptotics key tool for proving distributional limit theorems q...

the present study aims at indicating the existence and uniqueness result of system in extended colombeaualgebra. the caputo fractional derivative is used for solving the system of odes. in addition, rieszfractional derivative of colombeau generalized algebra is considered. the purpose of introducing rieszfractional derivative is regularizing it in colombeau sense. we also give a solution to a n...

The hallmark property of the Russian verbal system is taken to be the bipartite perfective/imperfective distinction in the domain of grammatical aspect. In this paper we show that there is a substantial and productive class of morphologically complex verbs that do not clearly pattern as either perfective or imperfective on standard formal (distributional) tests for perfectivity versus imperfect...

This note shows that a very simple model can generate returns that resemble most of the temporal and distributional behavior of long returns surprisingly well. The model is based on the stochastic unit root process introduced in Granger and Swanson (1997).

The aim of distributional semantics is to model the similarity of the meaning of words via the words they occur with. Thereby, it relies on the distributional hypothesis implying that similar words have similar contexts. Deducing meaning from the distribution of words is interesting as it can be done automatically on large amounts of freely available raw text. It is because of this convenience ...