Strong limiting regions of hypertension vector sequences of order statistics

	International Journal of Mathematics Trends and Technology (IJMTT)
	© 2016 by IJMTT Journal
	Volume-32 Number-2
	Year of Publication : 2016
	Authors : N. Vadiraja, H. Vishnu Hebbar
	10.14445/22315373/IJMTT-V32P516

N. Vadiraja, H. Vishnu Hebbar "Strong limiting regions of hypertension vector sequences of order statistics", International Journal of Mathematics Trends and Technology (IJMTT). V32(2):99-111 April 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
This paper finds a limiting region for the patient’s hypertension behavior based on several values above the cut off value of blood pressure taking together , by properly normalizing the vector sequences comprising of moving maxima (Yk(n) ) , moving second maxima (Sk(n) ) ,…, moving Kth maxima Kk(n) , K being the Kth order statistics , using Borel Cantelli lemma, which is meaningful in taking the decision on hypertension for treatment and so on. However, for ease of computation, results are proved for Yk(n) and Sk(n) , under certain conditions on F and k(n). The results are just stated for K order statistics.

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Keywords
Almost sure limit set; Moving maxima; Moving second maxima; Vector sequence.