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mannKendallTrend

mannKendallTrend(values): MannKendallTrend

Defined in: trend.ts:37

Mann–Kendall trend test statistic: whether a series drifts monotonically, with no assumption about the shape of the underlying distribution and no assumption that the drift is linear.

A monotone ramp and an oscillation around a fixed level are what this separates — the first accumulates concordant pairs and drives S away from zero, while the second cancels them out. It is unaffected by outliers, since only the sign of each pairwise difference counts, never its size.

Ties contribute nothing to S and are corrected for in the variance.

O(n²) — every ordered pair is compared. Intended for the hundreds-of-points series a monitor collects, not for bulk data.

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The series, in observation order. Not modified.

MannKendallTrend

The statistic and its standardised form, both 0 for a series of fewer than two values.

https://en.wikipedia.org/wiki/Mann%E2%80%93Kendall_test