By Jeffrey D. Scargle (auth.), Dan Maoz, Amiel Sternberg, Elia M. Leibowitz (eds.)
ELlA M. LEIBOWITZ Director, clever Observatory Chair, medical Organizing Committee The overseas symposium on "Astronomical Time sequence" used to be held on the Tel Aviv college campus in Tel Aviv, from December 30 1996 to January 11997. It was once equipped for you to have a good time the twenty fifth anniversary of the Florence and George clever Observatory (WO) operated by way of Tel Aviv college. the location of the 1 meter telescope of the observatory is close to town of Mitzpe-Ramon, a few 220 km south of Tel Aviv, on the heart of the Israeli Negev highland. there have been significant purposes for the alternative of Time sequence because the sub ject subject for our symposium. One is especially excited about the subject material itself, and one is expounded rather to the clever Observatory. there's rarely any doubt that astronomical time sequence are one of the so much historical techniques in human civilization and tradition. you could even say that astronomical time sequence preceeded astronomy itself, because the effect of the day /night cycle in the world is likely one of the first and so much basic impact that galvanize a. man or woman, or, actually, such a lot dwelling creatures on the planet. An echo of this concept. should be heard within the Biblical tale of production, the place the idea that of evening and day preceeds the production of the astronomical objects.
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Extra resources for Astronomical Time Series: Proceedings of The Florence and George Wise Observatory 25th Anniversary Symposium held in Tel-Aviv, Israel, 30 December 1996–1 January 1997
The main STATISTICAL TIME SERIES 23 difficulty astronomers will encounter is the linking of ARMA parameters with astrophysical theory. This is largely uncharted territory, and represents the principal difference between time series applications in the social and physical sciences. However, this difficulty is present with other types of statistical modeling of aperiodic or stochastic processes. The slope of a fractal power spectrum, the shape of a structure function or autocorrelation function, or the values of wavelet coefficients are all difficult to interpret without serious effort to generate predictions for these quantities from astrophysical theory.
Thus, it is no coincidence that the majority of millisecond pulsars is found in binary systems, while only a tiny fraction of the general slower-rotating population consists of binaries. The identification of a recycled fast pulsar, as opposed to a non-recycled, rapidly rotating young pulsar like the Crab pulsar (P=33 ms) is best illustrated through the "P-P" diagram (Figure 1). From the figure it is clear that the vast majority of pulsars lie in the range 30 ms ,$ P ,$ 5 s, and 10- 16 ,$ P ,$ 10- 12 s s- 1 , corresponding to surface magnetic field strengths of 10 10 ~ B ,$ 10 13 G.
Table 1 summarizes the topics covered in typical introductory time series textbooks. We can recommend Chatfield (1989) for a brief and readable presentation, and Fuller (1996) for a longer and more mathematical treatment. The applications are nearly always in the social or biological sciences, where temporal phenomena tend to show autocorrelation but not strict periodicities. The typical text thus emphasizes time-domain ARMA-type models (see §3 below), though other texts will cover frequency-domain Fourier analysis.