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| package generateur;
/**
*
* @author
*/
public class Generateur {
/**
* @param args the command line arguments
*/
private static void khi2() {
double Ki2=0;
int tableFrequenceObserver[]=new int[10];
for(int i=0;i<tableFrequenceObserver.length;i++) tableFrequenceObserver[i]=0;
for(int i=0;i<x.length;i++){
if(x[i]<0.1) tableFrequenceObserver[0]++;
else if(x[i]<0.2) tableFrequenceObserver[1]++;
else if(x[i]<0.3) tableFrequenceObserver[2]++;
else if(x[i]<0.4) tableFrequenceObserver[3]++;
else if(x[i]<0.5) tableFrequenceObserver[4]++;
else if(x[i]<0.6) tableFrequenceObserver[5]++;
else if(x[i]<0.7) tableFrequenceObserver[6]++;
else if(x[i]<0.8) tableFrequenceObserver[7]++;
else if(x[i]<0.9) tableFrequenceObserver[8]++;
else if(x[i]<1) tableFrequenceObserver[9]++;
}
double nK=x.length/10;
for(int i=0;i<10;i++){
Ki2+=Math.pow((tableFrequenceObserver[i]-nK), 2);
}
Ki2=Ki2/400;
if(Ki2<16.92) System.out.println("test vrai, Khi2="+Ki2);
else System.out.println("test faux, Khi2="+Ki2);
}
public static double x[];
private static double[] xExpo;
public static int n=50,m=4;
public static void main(String[] args) {
// TODO code application logic here
double X[]=new double[5000];
X[0]=21334;
double m=Math.pow(2, 16);
int K=231;
for(int i=1;i<X.length;i++){
X[i]=(K*X[i-1])%m;
}
x=new double[5000];
for(int i=0;i<X.length;i++){
x[i]=X[i]/m;
}
for(int i=0;i<X.length;i++){
System.out.println(x[i]);
}
System.out.println("etape");
khi2();
System.out.println("etape");
afficherAutoCorrelation();
System.out.println("etape");
resultatTrans();
System.out.println("etape");
intervaleC();
System.out.println("etape");
doValidation();
}
private static void afficherAutoCorrelation() {
double C[]=new double[10];
for(int K=2;K<C.length;K++)
{
C[K]=0;
for(int i=1;i<=36-K;i++)
{
C[K]+=x[i]*x[i+K];
}
C[K]=C[K]/(36-K);
}
double s[]=new double[6];
for(int K=2;K<s.length;K++)
{
s[K]=((double)((13*36)-(19*K)))/((double)(12*(36-K)));
}
double res=0;
for(int K=2;K<s.length;K++)
{
res+=Math.pow((C[K]-0.25), 2)/Math.pow(s[K], 2);
}
if(res<11.1) System.out.println("cette série est indepandante.:"+res);
}
private static void resultatTrans() {
double lamda=4;
xExpo=new double[x.length];
for(int i=0;i<x.length;i++){
xExpo[i]=-(lamda*Math.log(x[i]));
}
for(int i=0;i<x.length;i++){
System.out.println(xExpo[i]);
}
}
private static void intervaleC() {
double m=moyen();
double v=variance();
//(Ta/2,n-1)=1.96
double intervale=1.96*v/Math.sqrt(x.length);
System.out.println("l'intervale: ["+(m-intervale)+";"+(m+intervale)+"]");
}
public static void doValidation(){
x1=remplire(1);
x2=remplire(2);
x3=remplire(3);
x4=remplire(4);
m1=moyen(1);
m2=moyen(2);
m3=moyen(3);
m4=moyen(4);
mT=(m1+m2+m3+m4)/4;
Qb=calculerQb();
Qw=calculerQw();
double F=calculerF();
System.out.println(F);
if(F<3.86) System.out.println("l'hypothése H0 peut ne pas etre rejetée.");
else System.out.println("l'hypothése H0 rejetée.");
}
public static double calculerQb() {
double Qb=0;
Qb=Math.pow((m1-mT),2);
Qb+=Math.pow((m2-mT),2);
Qb+=Math.pow((m3-mT),2);
Qb+=Math.pow((m4-mT),2);
Qb=Qb*n;
return Qb;
}
public static double m1,m2,m3,m4,mT;
static double[] x1,x2,x3,x4;
static double Qb;
static double Qw;
public static double calculerQw() {
double Qw=0;
for(int i=0;i<n;i++) Qw+=Math.pow((x1[i]-m1), 2);
for(int i=0;i<n;i++) Qw+=Math.pow((x2[i]-m2), 2);
for(int i=0;i<n;i++) Qw+=Math.pow((x3[i]-m3), 2);
for(int i=0;i<n;i++) Qw+=Math.pow((x4[i]-m4), 2);
return Qw;
}
public static double[] remplire(int indice) {
double[] X=new double[n];
int y=0;
for(int i=(n*(indice-1));i<(indice*n);i++){
X[y]=x[i];
y++;
}
return X;
}
public static double moyen(int indice) {
double m=0;
for(int i=(n*(indice-1));i<(indice*n);i++){
m+=x[i];
}
m=m/n;
return m;
}
public static double calculerF() {
double f=0;
f=(Qb/(m-1))/(Qw/(m*(n-1)));
return f;
}
public static double moyen(){
double m=0;
for(int i=0;i<x.length;i++) m+=x[i];
m=m/x.length;
return m;
}
public static double variance(){
double v=0;
for(int i=0;i<x.length;i++) v+=Math.pow((x[i]-moyen()), 2);
v=v/(x.length-1);
v=Math.sqrt(v);
return v;
}
} |
