Records in the presence of a linear trend

Records from the sequence Y n = X n + cn, n ≧ 1 are analyzed, where { X n } is a strictly stationary random sequence. We prove various limit theorems for the record rate, record times, and record values. The situation when { X n } 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.