On the number and sum of near-record observations
2005 ◽
Vol 37
(03)
◽
pp. 765-780
◽
Keyword(s):
Let X 1,X 2,… be a sequence of independent and identically distributed random variables with some continuous distribution function F. Let L(n) and X(n) denote the nth record time and the nth record value, respectively. We refer to the variables X i as near-nth-record observations if X i ∈(X(n)-a,X(n)], with a>0, and L(n)<i<L(n+1). In this work we study asymptotic properties of the number of near-record observations. We also discuss sums of near-record observations.
2005 ◽
Vol 37
(3)
◽
pp. 765-780
◽
1970 ◽
Vol 7
(02)
◽
pp. 432-439
◽
1992 ◽
Vol 29
(03)
◽
pp. 575-586
◽
1991 ◽
Vol 4
(1)
◽
pp. 1-27
◽