2019
DOI: 10.1080/1351847x.2019.1583117
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Sub-sequence incidence analysis within series of Bernoulli trials: application in characterisation of time series dynamics

Abstract: This paper presents a new and widely applicable nonparametric approach to the characterization of time series dynamics. The approach involves analysis of the incidence of occurrence of patterns in the direction of movement of the series, and may readily be applied to time series data measured on any scale. The paper includes derivations of analytic forms for two (infinite) families of distributions under the null hypothesis of random behaviour, and of a useful analytic form for the generation of the moments of… Show more

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Cited by 2 publications
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“…In fact, nonparametric approaches are themselves likely to experience a resurgence in popularity due to the classification focused nature of many machine learning approaches. Consequently, Jackson's (2019) theoretical contribution to this special issue is rather timely since the development of new tests and techniques further extends the toolbox available for data scientists to conduct analysis. In particular, nonparametric tests (such as Jackson 2019) do not require distributional assumptions about the underlying data, a major advantage when there is still much debate over the generating process.…”
Section: Research Opportunities In the Age Of Big Datamentioning
confidence: 99%
“…In fact, nonparametric approaches are themselves likely to experience a resurgence in popularity due to the classification focused nature of many machine learning approaches. Consequently, Jackson's (2019) theoretical contribution to this special issue is rather timely since the development of new tests and techniques further extends the toolbox available for data scientists to conduct analysis. In particular, nonparametric tests (such as Jackson 2019) do not require distributional assumptions about the underlying data, a major advantage when there is still much debate over the generating process.…”
Section: Research Opportunities In the Age Of Big Datamentioning
confidence: 99%