The statistical distribution of the maxima of a random function
- 9 October 1956
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 237 (1209), 212-232
- https://doi.org/10.1098/rspa.1956.0173
Abstract
This paper studies the statistical distribution of the maximum values of a random function which is the sum of an infinite number of sine waves in random phase. The results are applied to sea waves and to the pitching and rolling motion of a ship.Keywords
This publication has 8 references indexed in Scilit:
- A photomechanical wave analyser for Fourier analysis of transient waveformsJournal of Scientific Instruments, 1953
- A Wave-Recorder for Use in ShipsNature, 1952
- The generation and propagation of ocean waves and swell. I. Wave periods and velocitiesPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1948
- Mathematical Analysis of Random NoiseBell System Technical Journal, 1945
- Mathematical Analysis of Random NoiseBell System Technical Journal, 1944
- Limiting forms of the frequency distribution of the largest or smallest member of a sampleMathematical Proceedings of the Cambridge Philosophical Society, 1928
- On the Extreme Individuals and the Range of Samples Taken from a Normal PopulationBiometrika, 1925
- XII. On the resultant of a large number of vibrations of the same pitch and of arbitrary phaseJournal of Computers in Education, 1880