Records in the presence of a linear trend
1987 ◽
Vol 19
(04)
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pp. 801-828
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Records from the sequence Yn = Xn + cn, n ≧ 1 are analyzed, where {Xn } is a strictly stationary random sequence. We prove various limit theorems for the record rate, record times, and record values. The situation when {Xn } is a stationary Gaussian process is considered with special attention given to Gaussian ARMA sequences. Data for the 400 and 800 metre races are used to illustrate these results.
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1987 ◽
Vol 24
(04)
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pp. 827-837
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1986 ◽
pp. 3-19
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1972 ◽
Vol 23
(4)
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pp. 293-326
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1987 ◽
Vol 22
(1)
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pp. 144-155
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1989 ◽
Vol 41
(3)
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pp. 279-286
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1998 ◽
pp. 249-254
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