Range inter-event process in a symmetric birth death random walk and the detection of chaos

Pierre Vallois, Charles Tapiero

Research output: Contribution to journalArticle

Abstract

This paper provides new results regarding the range inter-events process of a birth-death random walk. Motivations for determining and using the inter-range event distribution have two sources. First, the analytical results we obtain are simpler than the range process and make it easier therefore to use statistics based on the inter-range event process. Further, most of the results regarding the range process are based on long run statistical properties which limits their practical usefulness while inter-range events are by their nature `short term' statistics. Second, in many cases, data regarding amplitude change is easier to obtain and calculate than range and standard deviation processes. As a result, the predicted statistical properties of the inter-range event process can provide an analytical foundation for the development of statistical tests that may be used practically. Application to outlier detection, volatility and time series analysis discussed. Finally, results are summarized with proofs provided in another more extensive paper.

Original languageEnglish (US)
Pages (from-to)89-99
Number of pages11
JournalNeural Network World
Volume10
Issue number1
StatePublished - 2000

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Chaos theory
Statistics
Parturition
Volatilization
Time series analysis
Statistical tests

ASJC Scopus subject areas

  • Software

Cite this

Range inter-event process in a symmetric birth death random walk and the detection of chaos. / Vallois, Pierre; Tapiero, Charles.

In: Neural Network World, Vol. 10, No. 1, 2000, p. 89-99.

Research output: Contribution to journalArticle

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