ON THE FOURTH MOMENT OF THE MAXIMUM OF PARTIAL SUMS OF $n$-EXCHANGEABLE RANDOM VARIABLES WITH APPLICATIONS

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Published: Sep 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.27.1996.4341
Keywords:
Moments partial sums exchangeable Spitzer's identity

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M. GHARIB
Mathematics Department, Faculty of Sinice, Ain Shams University, Egypt.

Abstract




A general formula is obtained for the fourth moment of the maximum of partial sums of $n$-exchangeable random variables derived from a result of Spitzer. The formula is applied in particular to obtain the fourth moment of the maximum of adjusted partial sums of normal summands. This is of direct relevance to reservoir design and the analysis of the structure of stochastic processes and time series.




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How to Cite
GHARIB, M. (1997). ON THE FOURTH MOMENT OF THE MAXIMUM OF PARTIAL SUMS OF $n$-EXCHANGEABLE RANDOM VARIABLES WITH APPLICATIONS. Tamkang Journal of Mathematics, 27(3), 247–256. https://doi.org/10.5556/j.tkjm.27.1996.4341
Issue
Vol. 27 No. 3 (1996)
Section
Papers
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References

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