On detecting a periodic event by means of periodic observations. I
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- by Stefan A. Burr PDF
- Math. Comp. 29 (1975), 57-65 Request permission
Abstract:
The following situation is considered. A certain event is observable only intermittently according to some period. An observer attempts to detect an occurrence of the event by making observations according to some other period. We wish to determine the probability $P(s)$ that the event is first detected on the sth observation. The period of the event may be known or unknown. This paper discusses the number-theoretic calculations necessary to solve the problem; computational aspects will be discussed in a future paper.References
- Stefan A. Burr, On detecting a periodic event by means of periodic observations. I, Math. Comp. 29 (1975), 57–65. MR 379415, DOI 10.1090/S0025-5718-1975-0379415-X
- Ivan Niven and Herbert S. Zuckerman, An introduction to the theory of numbers, 2nd ed., John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0195783
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Math. Comp. 29 (1975), 57-65
- MSC: Primary 10K15; Secondary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1975-0379415-X
- MathSciNet review: 0379415