Abstract
An algorithm is proposed and investigated for identifying the trend of a time series when the sampling times form a Poisson or recursive stream of events. The case in which the sampling times themselves are measured with errors having a normal distribution with a known variance is analyzed.
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B. V. Gnedenko and I. N. Kovalenko, Introduction to Queuing Theory [in Russian], Nauka, Moscow (1987).
M. G. Kendall and A. Stuart, The Advanced Theory of Statistics, Vol. 1: Distribution Theory, 4th edn., Griffin, London (1977).
T. W. Anderson, Introduction to Multivariate Statistical Analysis, Wiley, New York (1958).
F. F. Idrisov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 3–10 (1995).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 11–16, April, 1996.
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Idrisov, F.F. Identification of the trends of time series with sampling-time measurement errors. Russ Phys J 39, 296–301 (1996). https://doi.org/10.1007/BF02068049
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DOI: https://doi.org/10.1007/BF02068049