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Statistics.h

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00001 #ifndef STATISTICS_HEADER
00002 #define STATISTICS_HEADER
00003 
00004 #include <iostream.h>
00005 #include <stdlib.h>
00006 #include <string>
00007 #include <vector>
00008 #include <map>
00009 
00010 #include "TFile.h"
00011 #include "TH1D.h"
00012 #include "TH2D.h"
00013 #include "TObject.h"
00014 
00015 using namespace std;
00016 
00017 class Statistics : public TObject {
00018 
00019 public:
00020    Statistics();
00021    ~Statistics();
00022 
00023    static Double_t              MAXIT() { return 100; }
00024    static Double_t              EPS() { return 3.0e-7; }
00025    static Double_t              EPS1() { return 0.001; }
00026    static Double_t              EPS2() { return 1.0e-8; }
00027    static Double_t              FPMIN() { return 1.0e-30; }
00028    static Double_t              Max(Double_t val1, Double_t val2);
00029    static Double_t              Max(vector<Double_t> vector);
00030    static Double_t              Min(Double_t val1, Double_t val2);
00031    static Double_t              Min(vector<Double_t> vector);
00032    static Double_t              Mean(vector<Double_t> vector);
00033    static Double_t              Average(vector<Double_t> vector);
00034    static Double_t              Variance(vector<Double_t> vector);
00035    static Double_t              BiasedVariance(vector<Double_t> vector);
00036    static Double_t              UnbiasedVariance(vector<Double_t> vector);
00037    static Double_t              Covariance(vector<Double_t> v1, vector<Double_t> v2);
00038    static Double_t              StandardDeviation(vector<Double_t> vector);
00039    static Double_t              BiasedStandardDeviation(vector<Double_t> vector);
00040    static Double_t              UnbiasedStandardDeviation(vector<Double_t> vector);
00041    static Double_t              RMS(vector<Double_t> vector);
00042    static map<string, Double_t> ChiSquareTest(vector<Double_t> v1, vector<Double_t> v2, int nbins);
00043    static map<string, Double_t> KSTest(vector<Double_t> v1, vector<Double_t> v2);
00044    static map<string, Double_t> BinnedKSTest(vector<Double_t> v1, vector<Double_t> v2, int nbins);
00045    static map<string, Double_t> BinnedKSTestRoot(vector<Double_t> v1, vector<Double_t> v2, int nbins);
00046    static vector<Double_t>      SortBubble(vector<Double_t> vector);
00047    static vector<int>        GetSortedIndex(vector<Double_t> vector);
00048    static Double_t              CalculateKSProbability(Double_t alam);
00049    static Double_t              Entropy(vector<Double_t> vector);
00050    static Double_t              MutualEntropy(vector<Double_t> vector1, vector<Double_t> vector2);
00051    static map<string, Double_t> FTest(vector<Double_t> vector1, vector<Double_t> vector2);
00052    static map<string, Double_t> TTestForEqualVariances(vector<Double_t> vector1, vector<Double_t> vector2);
00053    static map<string, Double_t> TTestForUnequalVariances(vector<Double_t> vector1, vector<Double_t> vector2);
00054    static Double_t              IncompleteBetaFunction(Double_t a, Double_t b, Double_t x);
00055    static Double_t              IncompleteBetaFunctionContinuedFraction(Double_t a, Double_t b, Double_t x);
00056    static Double_t              IncompleteGammaFunctionQ(Double_t a, Double_t x);
00057    static Double_t              IncompleteGammaFunctionQContinuedFraction(Double_t a, Double_t x);
00058    static Double_t              IncompleteGammaFunctionPSeries(Double_t a, Double_t x);
00059    static Double_t              LogOfGammaFunction(Double_t x);
00060    static Double_t              Correlation(vector<Double_t> cv1, vector<Double_t> cv2);
00061    static Double_t              RandomPoisson(Double_t *x, Double_t *par);
00062 
00063    ClassDef(Statistics, 1)
00064 };
00065 #endif

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