On the total time spent in records by a discrete uniform sequence
2001 ◽
Vol 38
(03)
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pp. 768-775
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Keyword(s):
We consider the sum S d of record values in a sequence of independent random variables that are uniformly distributed on 1,…,d. This sum can be interpreted as the total amount of time spent in record lifetimes in the standard renewal theoretic setup. We investigate the distributional limit of S d and some related quantities as d→∞. Some explicit values are given for d=6, a case that can be interpreted as a simple game of chance.
2001 ◽
Vol 38
(3)
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pp. 768-775
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Keyword(s):
2014 ◽
Vol 59
(2)
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pp. 553-562
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1985 ◽
Vol 29
(4)
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pp. 707-718
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Keyword(s):
1965 ◽
Vol 2
(02)
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pp. 352-376
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1991 ◽
Vol 14
(2)
◽
pp. 381-384
Keyword(s):
1962 ◽
Vol 57
(297)
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pp. 33-45
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