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The Wiley Series in Probability and Statistics is a collection of topics of current research interests in both pure and applied statistics and probability developments in the field and classical methods. This series provides essential and invaluable reading for all statisticians, whether in academia, industry, government, or research.
Originally published: New York: Wiley, c1988.
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The Athens Conference on Applied Probability and Time Series in 1995 brought together researchers from across the world. The published papers appear in two volumes. Volume II presents papers on time series analysis, many of which were contributed to a meeting in March 1995 partly in honour of E.J. Hannan. The initial paper by P.M. Robinson discusses Ted Hannan's researches and their influence on current work in time series analysis. Other papers discuss methods for finite parameter Gaussian models, time series with infinite variance or stable marginal distribution, frequency domain methods, long range dependent processes, nonstationary processes, and nonlinear time series. The methods presented can be applied in a number of fields such as statistics, applied mathematics, engineering, economics and ecology. The papers include many of the topics of current interest in time series analysis and will be of interest to a wide range of researchers.
The work presented in this thesis was done during the period October, 1953 to July, 1955. The work is original in the sense that it was wholly done by myself. However, in the course of presenting the results it has been necessary to refer to the work of other men. Where this has been done it has always been made clear by means of a reference. Chapter I contains no original research but is rather a review of the existing state of the subject. In #2.2. a theorem due to Pitman is proved so that the only original research in Chapter 2 is contained in # 2.3. where Pitman's theorem is extended. Chapter 3 is based on a paper by Ogawara, but most of the chapter is original and consists either of ext...