For a stationary AR(1) process, the expected value of the maximum of short contiguous segments is maximized at negative serial correlation, and the variance of the maximum increases monotonically with correlation.
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Moments of Maximum: Segment of AR(1)
For a stationary AR(1) process, the expected value of the maximum of short contiguous segments is maximized at negative serial correlation, and the variance of the maximum increases monotonically with correlation.