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Mann-Kendall statistic S

Variance S

where

  • g

 

is the number of groups of tied data

  • tp

 

the number of tied data in the p-th group

...

the number of sampling times that contain multiple data

  • u_p

 

the number of multiple data in the qth time period

Z statistic
Z=

, if S > 0,

  • Z = 0

 

, if S = 0

, if S < 0,

Slope

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