,`)/      !"#$%&'()*+,-.Safe&!"%&-23459:;<=?@ADFHJLOQRT[\]^abc oA rough Median. The average absolute value of the stat is used to callibrate estimate drift towards the medium/onlineL1' takes a function and turns it into a /M where the step is an incremental update of an (isomorphic) median statistic..onlineL1 takes a function and turns it into a /M where the step is an incremental update of an (isomorphic) median statistic. averageL1 moving median moving absolute deviation covariance of a tuple correlation of a tuple 1the beta in a simple linear regression of a tuple +the alpha in a simple linear regression of 0 on 1     Safe&!"%&-23459:;<=?@ADFHJLOQRT[\]^abc $Most common statistics are averages.,online takes a function and turns it into a /G where the step is an incremental update of the (isomorphic) statistic.averagemoving averageabsolute averageaverage squarestandard deviationDthe covariance of a tuple given an underlying central tendency fold/correlation of a tuple, specialised to Guassian/a generalised version of correlation of a tuple\the beta in a simple linear regression of a tuple given an underlying central tendency foldthe alpha of a tupleautocorrelation is a slippery concept. This method starts with the concept that there is an underlying random error process (e), and autocorrelation is a process on top of that ie for a one-step correlation relationship.valuet = e t + k * e@t-1where k is the autocorrelation.There are thus two online rates needed: one for the average being considered to be the dependent variable, and one for the online of the correlation calculation between the most recent value and the moving average. For example,L.fold (autocorr 0 1)would estimate the one-step autocorrelation relationship of the previous value and the current value over the entire sample set. 23  23None&!"&,-23459:;<=?@ADFHJLOQRT[\]^abc"a raw non-online tdigest fold#non-online version$non-online version&/decaying quantiles based on the tdigest library-/decaying histogram based on the tdigest library !"#$%&'()*+,- !"#$%&'()*+,-"#$ !%&'()*+,-  !"#$%&'()*+,-None$!"&-23459:;<=?@DFHJLOQRT[\]^abc-  !"#$%&'()*+,-4      !!"#$%&'()*+,-./012345675689:"online-0.2.0-5P8t7FNd5LXu9NFuVifwrOnline.StatsL1 Online.StatsOnline.QuantilesOnlineMedianer medAbsSummedCount medianEst onlineL1'onlineL1avL1maL1absmaL1covL1corrL1betaL1alphaL1 autocorrL1Averageronlineavmaabsmasqmastdcov corrGausscorrbetaalphaautocorr$fMonoidAverager OnlineTDigesttdtdNtdRatetDigesttDigestQuantiles tDigestHistemptyOnlineTDigestonlineQuantilesmedian onlineInsert' onlineInsertonlineCompressonlineForceCompressonlineDigitizeonlineDigestHist$fShowOnlineTDigest"foldl-1.3.0-8vCIUWtKrn83Yyyf5e8MgX Control.FoldlFoldbase Data.Tuplesndfst _averager