A note on the moments of the number of axis-crossings by a stochastic process

Author:
M. R. Leadbetter

Journal:
Bull. Amer. Math. Soc. **73** (1967), 129-132

DOI:
https://doi.org/10.1090/S0002-9904-1967-11679-3

MathSciNet review:
0214133

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References | Additional Information

**1.**Harald Cramér and M. R. Leadbetter,*The moments of the number of crossings of a level by a stationary normal process*, Ann. Math. Statist. 36 (1965), 1656-1663. MR**185682****2.**Harald Cramér and M. R. Leadbetter,*Stationary and related stochastic processes*, Dover Publications, Inc., Mineola, NY, 2004. Sample function properties and their applications; Reprint of the 1967 original. MR**2108670****3.**M. Kac,*On the average number of real roots of a random algebraic equation*, Bull. Amer. Math. Soc. 49 (1943), 314-320. MR**7812****4.**M. R. Leadbetter,*On crossings of levels and curves by a wide class of stochastic processes*, Ann. Math. Statist. 37 (1966), 260-267. MR**208667****5.**M. R. Leadbetter and J. D. Cryer,*On the mean number of curve crossings by non-stationary normal processes*, Ann. Math. Statist. 36 (1965), 509-516. MR**174085****6.**N. D. Ylvisaker,*The expected number of zeros of a stationary Gaussian process*, Ann. Math. Statist. 36 (1965), 1043-1046. MR**177458**- 7, N. D. Ylvisaker,
*On theorem of Cramér and Leadbetter*, Ann. Math. Statist. 37 (1966), 682-685. MR**193686**

- 7, N. D. Ylvisaker,

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1967-11679-3