A fast method for estimating correlation coefficients of mass monitoring long-time series data
A long-term series, data-related technology, applied in the database field, can solve problems such as inability to use interactive query applications, sequence mean and standard deviation, long delay, etc.
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[0033] A specific embodiment of the present invention will be described in detail below in conjunction with the accompanying drawings, but it should be understood that the protection scope of the present invention is not limited by the specific embodiment.
[0034] Time series: Time series S is a collection of observation data arranged in chronological order, which can be expressed as S=((t 1 ,s 1 ),(t 2 ,s 2 ),...,(t n ,s n )), where s i is at timestamp t i The value on (1≤i≤n), n is the length of the time series S;
[0035] Subsequence: for any i and l satisfying 1≤i≤n-l, S i,l =(s i ,s i+1 ,...,s i+l-1 ) is a subsequence of S.
[0036] Pearson correlation coefficient: Given a time series of equal length X=(x 1 ,x 2 ,...,x n ) and Y=(y 1 ,y 2 ,...,y n ), the calculation formula of the Pearson correlation coefficient ρ(X,Y) of X and Y is as follows where μ x and μ y are the means of X and Y, respectively, such as σ x and σ y are the standard deviation...
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