Strong limiting regions of hypertension vector
sequences of order statistics
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.