On the fluctuations of partial sums

Authors: Jagdish Saran ^a; Kanwar Sen ^b

Affiliations:	^a Department of Statistics, Shri varshneya college, Aligarh, India
	^b Department of mathematical statistics, University of delhi, Delhi, India

DOI: 10.1080/02331887908801501

Publication Frequency: 6 issues per year

Published in: journal

Statistics, Volume 10, Issue 3 1979 , pages 469 - 478

Subjects: Mathematical Statistics; Statistical Theory & Methods; Statistics; Statistics for the Biological Sciences; Stochastic Models & Processes;

Formats available: PDF (English)

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For non-negative integral valued interchangeable random variables ./GSTA_A_8801501_O_XML_IMAGES/GSTA_A_8801501_O_ILM0001.gif

Tak

cs [6, 7] has derived the probability distributions of certain statistics viz. ./GSTA_A_8801501_O_XML_IMAGES/GSTA_A_8801501_O_ILM0002.gif

concerning the partial sums ./GSTA_A_8801501_O_XML_IMAGES/GSTA_A_8801501_O_ILM0003.gif

. This paper deals with the probability distributions of some other statistics viz. ./GSTA_A_8801501_O_XML_IMAGES/GSTA_A_8801501_O_ILM0004.gif

concerning the partial sums ./GSTA_A_8801501_O_XML_IMAGES/GSTA_A_8801501_O_ILM0005.gif

, of geometric random variables ./GSTA_A_8801501_O_XML_IMAGES/GSTA_A_8801501_O_ILM0006.gif

. These distributions have been derived by employing the random walk model as used by Cśki-Vincze [1], Sen [4, 5] and Saran [3].

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