Ladder heights, Gaussian random walks and the Riemann zeta function
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Publication:1356367
DOI10.1214/aop/1024404419zbMath0880.60070OpenAlexW2055983684MaRDI QIDQ1356367
Publication date: 7 January 1998
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1024404419
Sums of independent random variables; random walks (60G50) (zeta (s)) and (L(s, chi)) (11M06) Analytic continuation of functions of one complex variable (30B40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sequential analysis. Tests and confidence intervals
- Boundary crossing probabilities and statistical applications
- Comments on a problem of Chernoff and Petkau
- Aspects of risk theory
- On moments of the first ladder height of random walks with small drift
- Asymptotic moments of random walks with applications to ladder variables and renewal theory
- Discretization error in simulation of one-dimensional reflecting Brownian motion
- Corrected diffusion approximations in certain random walk problems
- Heavy Traffic Limit Theorems for Queues: A Survey
- Sequential Tests for the Mean of a Normal Distribution IV (Discrete Case)
