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A note on the moments of the number of axis-crossings by a stochastic process
Author(s):
M. R.
Leadbetter
Journal:
Bull. Amer. Math. Soc.
73
(1967),
129-132.
MathSciNet review:
0214133
Retrieve article in:
PDF
References |
Additional information
References:
- 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, Wiley, New York, (to appear). 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
Additional Information:
DOI:
10.1090/S0002-9904-1967-11679-3
PII:
S 0002-9904(1967)11679-3
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