Add to ORKGLimiting theorem of general kind and estimations of the convergence speed are considered in the paper aiming at the application of the Trotter's characteristical operator method in the theory of limiting theorems to sums of random values and a random number of random values. As a result the general limiting theorem for sums and sums with a random number of independent (dependent) random values has been proved, estimations of the convergence speed in proved theorems have been established. The results obtained are the new ones. The paper results may find their field of application in probability theory and mathematical statisticsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
The rate of convergence of random sums, with respect to total variation distance, is investigated fo...
We study the structure of the ergodic limit functions determined in random ergodic theorems. When th...
The investigation objects are the sums and other functions from random elements depending upon the r...
The series of necessary and sufficient conditions of convergence for sum distributions of weak depen...
Sums of independent and dependent random values, martingales are considered in the paper aiming at t...
When studying a limited behaviour of a mode and medium of a sum of random values the known results f...
The creation of the integral asymptotical theory of random sequences with independent random indexes...
The notion of the residual dependence for random values has been determined in the paper. The new pr...
The book concerns limit theorems and laws of large numbers for scaled unionsof independent identical...
The paper deals with sums of independent and identically distributed random variables defined on som...
Abstmct. We present an integral test to determine the limiting behavior of weighted sums of i.i.d. R...
The paper deals with random variables which are the values of independent identically distributed st...
In this paper we derive limit theorems of some general functions of independent and identically dist...
Presenting the first unified treatment of limit theorems for multiple sums of independent random var...
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
The rate of convergence of random sums, with respect to total variation distance, is investigated fo...
We study the structure of the ergodic limit functions determined in random ergodic theorems. When th...
The investigation objects are the sums and other functions from random elements depending upon the r...
The series of necessary and sufficient conditions of convergence for sum distributions of weak depen...
Sums of independent and dependent random values, martingales are considered in the paper aiming at t...
When studying a limited behaviour of a mode and medium of a sum of random values the known results f...
The creation of the integral asymptotical theory of random sequences with independent random indexes...
The notion of the residual dependence for random values has been determined in the paper. The new pr...
The book concerns limit theorems and laws of large numbers for scaled unionsof independent identical...
The paper deals with sums of independent and identically distributed random variables defined on som...
Abstmct. We present an integral test to determine the limiting behavior of weighted sums of i.i.d. R...
The paper deals with random variables which are the values of independent identically distributed st...
In this paper we derive limit theorems of some general functions of independent and identically dist...
Presenting the first unified treatment of limit theorems for multiple sums of independent random var...
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
The rate of convergence of random sums, with respect to total variation distance, is investigated fo...
We study the structure of the ergodic limit functions determined in random ergodic theorems. When th...