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2015.05.27 17:09

# Statistical Functions - library for MetaTrader 5

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Set of statistical functions which allows you to calculate some values describing timeseries like correlation between two time series, linear regression, standard deviation etc. It includes also more advanced functions like definite integral.

Header file "Statistics.mqh" includes following functions:

Syntax Description Return type
mean(T &arr[])  Mean  (generic)
std(double &arr[])  Standard deviation  double
correlation(&arr1[], &arr2[])  Correlation coefficient  double
detrend(arr[], resultArray[])  Timeseries decomposition  void
regression(&arr1[], &arr2[], &res[])  Regression line  void
regression(double &arr1[], double &arr2[], double &res[], double &aCoeff,double &bCoeff)  Regression line with coefficients  void
dickeyFuller(double &arr[])   Dickey-Fuller test for stationarity  bool
engleGrangerTest(double &arr1[], double &arr2[],double &cointCoeff)   Engle-Granger 2-step method for testing cointegration  bool
AR1(double &arr[])  Autoregressive model with lag 1  double
signedIntegral(double a, double b, int n) *  Definite integral  double
erf(double x)   Error function  double
normDistZ(double z)   Probability that variable is from normal distrbution  double

* You should add your own implementation of "foo" function which you want to integrate. Default function is: f(x) = x.

You should also remember that timeseries avaliable in MQL are indexed in a way that the newest data have a 0 index. It's a good idea to reverse the order of such arrays and is absolutely necessay in AR model (arrays are not reversed inside of the method to avoid confusion).

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