On the growth of the one-dimensional reverse immunization contact processes
| Autor: | Achillefs Tzioufas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Statistics and Probability
Strong law Sequence General Mathematics 010102 general mathematics Kuczek-type argument Immunization (finance) 01 natural sciences Contact process 010104 statistics & probability 60K35 Contact process (mathematics) Applied mathematics 0101 mathematics Statistics Probability and Uncertainty 82C22 Positive probability Mathematics Central limit theorem |
| Zdroj: | J. Appl. Probab. 48, no. 3 (2011), 611-623 Achillefs Tzioufas |
| Popis: | We are concerned with the variation of the supercritical nearest-neighbours contact process such that first infection occurs at a lower rate; it is known that the process survives with positive probability. Regarding the rightmost infected of the process started from one site infected and conditioned to survive, we specify a sequence of space-time points at which its behaviour regenerates and, thus, obtain the corresponding strong law and central limit theorem. We also extend complete convergence in this case. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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