Analysis of the finiteness for the first collision time between two randomly moving particles
Alzulaibani, A. (2020). Analysis of the finiteness for the first collision time between two randomly moving particles. EKB Journal Management System, 28(1), 1-7. doi: 10.1186/s42787-020-00090-8
Alaa A. Alzulaibani. "Analysis of the finiteness for the first collision time between two randomly moving particles". EKB Journal Management System, 28, 1, 2020, 1-7. doi: 10.1186/s42787-020-00090-8
Alzulaibani, A. (2020). 'Analysis of the finiteness for the first collision time between two randomly moving particles', EKB Journal Management System, 28(1), pp. 1-7. doi: 10.1186/s42787-020-00090-8
Alzulaibani, A. Analysis of the finiteness for the first collision time between two randomly moving particles. EKB Journal Management System, 2020; 28(1): 1-7. doi: 10.1186/s42787-020-00090-8

Analysis of the finiteness for the first collision time between two randomly moving particles

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Page 1-7  XML PDF (929.82 K)
DOI: 10.1186/s42787-020-00090-8
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Author
Alaa A. Alzulaibani
Mathematics and Statistics Department, College of Science, Taibah University, Yanbu, Kingdom of Saudi Arabia
Abstract
The finiteness of the collision time between two different randomly moving particles
is presented by providing more useful analysis that gives stronger and finite
moment. The triangular arrays and the uniform integrability conditions of the all
probable positions non-stationary random sequence are used. In addition, an
important property of Marcinkiewicz laws of large numbers and Hoffman-Jorgensen
inequality are presented in this analysis. All of them are deriving to provide the
sufficient conditions that give more stronger moments of the first meeting time in
the probability space.

Keywords
Non-stationary random sequence; First meeting time; Triangular arrays
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