Small deviations for the Poisson process

DOI10.1016/S0167-7152(97)00117-XzbMath0896.60015MaRDI QIDQ5906876

Sergio Alvarez-Andrade

Publication date: 1 October 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

inequalitiesPoisson processPoisson processessmall deviationsStrassen's functional law of the iterated logarithm

Mathematics Subject Classification ID

Strong limit theorems (60F15) Diffusion processes (60J60)

Related Items (1)

Small deviations of general Lévy processes

Cites Work

• Small ball estimates for Brownian motion and the Brownian sheet
• A note on small ball probability of a Gaussian process with stationary increments
• A lim inf result in Strassen's law of the iterated logarithm
• Strong approximation of renewal processes
• Strong approximation of extended renewal processes
• Small values of Gaussian processes and functional laws of the iterated logarithm
• Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
• Clustering behavior of finite variance partial sum processes
• Lim inf results for Gaussian samples and Chung's functional LIL
• A relation between Chung's and Strassen's laws of the iterated logarithm
• An invariance principle for the law of the iterated logarithm
• Maxima of partial sums of independent random variables
• On the Maximum Partial Sums of Sequences of Independent Random Variables
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