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, Pages 1-7 PDF (929.82 K) | ||
| DOI: 10.1186/s42787-020-00090-8 | ||
| 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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