Exponential bounds for the tail probability of the supremum of an inhomogeneous random walk
Let $\{{\xi _{1}},{\xi _{2}},\dots \}$ be a sequence of independent but not necessarily identically distributed random variables. In this paper, the sufficient conditions are found under which the tail probability $\mathbb{P}(\,{\sup _{n\geqslant 0}}\,{\sum _{i=1}^{n}}{\xi _{i}}>x)$ can be bounde...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
VTeX
2018-03-01
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| Series: | Modern Stochastics: Theory and Applications |
| Subjects: | |
| Online Access: | https://vmsta.vtex.vmt/doi/10.15559/18-VMSTA99 |