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By Paruchuri R Krishnaiah

ISBN-10: 0124266010

ISBN-13: 9780124266018

ISBN-10: 0124266029

ISBN-13: 9780124266025

ISBN-10: 0124266037

ISBN-13: 9780124266032

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ISBN-13: 9780124266049

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33 Copyright © 1978 by Academic Press, Inc. All rights of reproduction in any form reserved. ISBN 0-12-4266 01-0 34 1. David R. Brillinger INTRODUCTION Both the literature concerning the subject of ordinary time series analysis and that of point process analysis are large and are rapidly growing. The following books may be mentioned: Bartlett (1966), Whittle (1963), Rozanov (1966), Box and Jenkins (1970), Hannan (1970), Anderson (1971), Koopmans (1974), and Brillinger (1975a) in the case of ordinary time series, and Harris (1963), Cox and Lewis (1966), Kerstan et al (1974), Srinivasan (1974), Snyder (1975), and Murthy (1974) in the case of point processes.

In 1909 Erlang applied the Poisson process to traffic studies, proposed the truncated Poisson, and considered the process with intervals made up of right displaced exponentials (Haight, 1967, p. 121-123). Erlang's interest was in building better telephone systems, for example, determining the optimum 38 David R. Brillinger number of circuits. He may be said to have initiated the study of queueing systems—involving input and output point processes corresponding to times of arrival and departure of customers.

G. Stokes) were carrying out numerical Fourier analyses using computation schedules. In particular, in 1891 S. C. Chandler carried out an analysis of the variation of latitude with time. His analysis led him to suggest that the motion of the earth's pole of rotation was composite, containing compo­ nents of period 12 and approximately 14 months. A substantial advance in the analysis of time series corresponding to light signals occurred in 1891 when A. A. Michelson invented the interfer­ ometer.

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Developments in statistics by Paruchuri R Krishnaiah

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