Asymptotic properties of the moment convergence for NA sequences

2014 ◽  
Vol 34 (2) ◽  
pp. 301-312 ◽  
Author(s):  
Yuexu ZHAO
Keyword(s):  
Asymptotic Properties ◽  
Moment Convergence ◽  
The Moment ◽  
Na Sequences

ON THE IDENTIFICATION OF THE SOURCE OF EMISSION ON THE PLANE

2019 ◽  
Vol 53 (2 (249)) ◽  
pp. 75-81
Author(s):  
N.V. Arakelyan ◽  
Yu.A. Kutoyants
Keyword(s):  
Asymptotic Properties ◽  
Radioactive Source ◽  
Poisson Processes ◽  
Inhomogeneous Poisson Processes ◽  
The Moment ◽  
Source Emission

We consider the problem of identification of the position and the moment of the beginning of a radioactive source emission on the plane. The acts of emission constitute inhomogeneous Poisson processes and are registered by $ K $ detectors on the plane. We suppose that the moments of arriving of the signals at the detectors are measured with some small errors. Then, using these estimate, we construct the estimators of the position of source and the moment of the beginning of emission. We study the asymptotic properties of these estimators for large signals and prove their consistency.

Precise rates of the first moment convergence in the LIL for NA sequences

2014 ◽  
Vol 287 (17-18) ◽  
pp. 2138-2149
Author(s):  
Xiao-Yong Xiao ◽  
Hong-Wei Yin ◽  
Cha-Hua Ye
Keyword(s):  
Moment Convergence ◽  
Na Sequences ◽  
First Moment

EXISTENCE, UNIQUENESS AND ASYMPTOTIC PROPERTIES OF A CLASS OF NONLINEAR STOCHASTIC DIFFERENTIAL DELAY EQUATIONS WITH MARKOVIAN SWITCHING

2009 ◽  
Vol 09 (02) ◽  
pp. 253-275 ◽  
Author(s):  
LIN WANG ◽  
FUKE WU
Keyword(s):  
Asymptotic Properties ◽  
Delay Equations ◽  
Markovian Switching ◽  
Differential Delay Equation ◽  
Differential Delay ◽  
Stochastic Differential Delay Equation ◽  
Differential Delay Equations ◽  
Stochastic Differential Delay Equations ◽  
Moment Boundedness ◽  
The Moment

The main aim of this paper is to give some new conditions under which a class of nonlinear stochastic differential delay equations with Markovian switching admit a unique solution and this solution has nice asymptotic properties, including the moment boundedness and the moment boundedness average in time of this solution. These new conditions show that the coefficients of the nonlinear stochastic differential delay equation with Markovian switching are polynomial or controlled by the polynomial functions or functionals. Two examples are also given for illustration.

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