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Extension of runs to the continuous-valued sequences

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  • Eryilmaz, Serkan

Abstract

In this note, new run definitions which we call [var epsilon]-neighbourhood and [var epsilon]-increasing runs are introduced. These definitions are the rational extension of runs to the continuous-valued sequences. Distributional properties of the introduced run statistics are studied.

Suggested Citation

  • Eryilmaz, Serkan, 2007. "Extension of runs to the continuous-valued sequences," Statistics & Probability Letters, Elsevier, vol. 77(4), pages 383-388, February.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:4:p:383-388
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    Cited by:

    1. Spiros D. Dafnis & Frosso S. Makri, 2022. "Weak runs in sequences of binary trials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(5), pages 573-603, July.
    2. Frosso Makri & Zaharias Psillakis, 2011. "On runs of length exceeding a threshold: normal approximation," Statistical Papers, Springer, vol. 52(3), pages 531-551, August.
    3. Eryilmaz, Serkan & Fu, James C., 2008. "Runs in continuous-valued sequences," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 759-765, April.
    4. Narayanaswamy Balakrishnan & Alexei Stepanov, 2013. "Runs Based on Records: Their Distributional Properties and an Application to Testing for Dispersive Ordering," Methodology and Computing in Applied Probability, Springer, vol. 15(3), pages 583-594, September.
    5. Stepanov, A., 2011. "Limit theorems for runs based on 'small spacings'," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 54-61, January.

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