public static double FExp(List <double> X, double x)
{
double lamda = 1 / PointMark.Ave(X);
double F = 1 - Math.Exp(-lamda * x);
return(F);
}
public static List <double> standartA(List <double> A, double sum)
{
List <double> X = new List <double>();
for (int i = 0; i < sum; i++)
{
A[i] = (A[i] - PointMark.Ave(A)) / PointMark.SQRAve(PointMark.Disp(A, PointMark.Ave(A)));
}
return(A);
}
public static double dov_exp(List <double> X, double sum, double x)
{
double D = 0;
double N = sum;
double lamda = 1 / PointMark.Ave(X);
double nk = Quantil.NormalQuantil();
double D_lyam = Math.Pow(lamda, 2) / N;
D = nk * Math.Sqrt(Math.Pow(x, 2) * Math.Exp(-2 * lamda * x) * D_lyam);
return(D);
}
private void експоненціальнийToolStripMenuItem_Click(object sender, EventArgs e)
{
X.Sort();
chart1.Series.Add("exp");
chart1.Series["exp"].Color = Color.Violet;
chart1.Series["exp"].ChartType = System.Windows.Forms.DataVisualization.Charting.SeriesChartType.Line;
chart1.Series["exp"].BorderWidth = 1;
chart1.Series["exp"].BorderColor = Color.Black;
double D = 0;
for (double i = X[0]; i < X.Max(); i += 0.01 * (X.Max() - X.Min()))
{
chart1.Series["exp"].Points.AddXY(i, Restore.fExp(X, i) * step);
}
chart2.Series.Add("exp");
chart2.Series.Add("exp+");
chart2.Series["exp+"].Color = Color.Pink;
chart2.Series["exp+"].ChartType = System.Windows.Forms.DataVisualization.Charting.SeriesChartType.Line;
chart2.Series["exp+"].BorderWidth = 1;
chart2.Series["exp+"].BorderColor = Color.Pink;
chart2.Series.Add("exp-");
chart2.Series["exp-"].Color = Color.Violet;
chart2.Series["exp-"].ChartType = System.Windows.Forms.DataVisualization.Charting.SeriesChartType.Line;
chart2.Series["exp-"].BorderWidth = 1;
chart2.Series["exp-"].BorderColor = Color.Violet;
chart2.Series["exp"].Color = Color.DarkBlue;
chart2.Series["exp"].ChartType = System.Windows.Forms.DataVisualization.Charting.SeriesChartType.Line;
chart2.Series["exp"].BorderWidth = 1;
chart2.Series["exp"].BorderColor = Color.Black;
double lyambda = 1 / PointMark.Ave(X);
double nk = Quantil.NormalQuantil();
double D_lyam = Math.Pow(lyambda, 2) / sum;
for (double i = X[0]; i < X.Max(); i += 0.01 * (X.Max() - X.Min()))
{
D = Math.Pow(i, 2) * Math.Exp(-2 * lyambda * i) * (Math.Pow(lyambda, 2) / sum);
chart2.Series["exp+"].Points.AddXY(i, Restore.FExp(X, i) + Quantil.StudentQuantil(sum, X) * Math.Sqrt(D));
chart2.Series["exp"].Points.AddXY(i, Restore.FExp(X, i));
chart2.Series["exp+"].Points.AddXY(i, Restore.FExp(X, i) - Quantil.StudentQuantil(sum, X) * Math.Sqrt(D));
}
}
public static List <double> AbnormalsX(List <double> X, double sum)
{
int N = 0;
double
t = 1.55 + 0.8 * (Math.Sqrt(Math.Abs(PointMark.Exes(X, PointMark.Ave(X), PointMark.DisSqrAve(X, PointMark.Ave(X))))) * Math.Log10(sum / 10)),
A = PointMark.Ave(X) - t * PointMark.DisSqrAve(X, PointMark.Ave(X)),
B = PointMark.Ave(X) + t * PointMark.DisSqrAve(X, PointMark.Ave(X));
List <double> F = new List <double>();
/*double[] Buf_allnum = new double[allnum.Length];*/ // temporary array
for (int i = 0; i < sum; i++)
{
if (X[i] < B && X[i] > A)
{
F.Add(X[i]);
}
}
X = F;
N = X.Count;
return(X);
}
public static double FLogNorm(List <double> A, double x)
{
List <double> PA = new List <double>();
for (int i = 0; i < A.Count; i++)
{
PA.Add(Math.Pow(A[i], 2));
}
for (int i = 0; i < A.Count; i++)
{
if (A[i] < 0)
{
A[i] = Math.Abs(A[i]);
}
}
double mu = PointMark.Ave(A) /*2 * Math.Log(Moment.StartMoment(1,A.Count,A))-1/2*Math.Log(Moment.StartMoment(2, A.Count, A))*/;
double sigm = PointMark.Disp(A, PointMark.Ave(A)) /*Math.Sqrt(Math.Log(Moment.StartMoment(2, A.Count, A)) - 2* Math.Log(Moment.StartMoment(1, A.Count, A)))*/;
double FLN = (1.0 / 2) + (1.0 / 2) * (AdvancedMath.Erf((Math.Log(x) - mu) / (sigm)));
return(FLN);
}
public void GridWrite(DataGridView dataGridView1, DataGridView dataGridView2, int NumClass, List <double> X)
{
X.Sort();
dataGridView2.ScrollBars = ScrollBars.Vertical;
dataGridView2.Rows.Clear();
dataGridView2.Columns.Add("No", "Номер");
dataGridView2.Columns.Add("Element", "Значення");
for (int i = 0; i < X.Count; i++)
{
dataGridView2.Rows.Add(i + 1, Math.Round(X[i], 4));
}
AVE = Math.Round(PointMark.Ave(X), 4);
double MED = PointMark.Med(X);
double MAD = PointMark.Mad(X, MED);
double disp = Math.Round(PointMark.Disp(X, AVE), 4);
SQRAve = Math.Round(PointMark.SQRAve(disp), 4);
double disposeSQRAve = Math.Round(PointMark.DisSqrAve(X, AVE), 4);
double As = Math.Round(PointMark.Assimetric(X, AVE, disposeSQRAve), 4);
double Ex = Math.Round(PointMark.Exes(X, AVE, disposeSQRAve), 4);
double ContrEx = Math.Round(PointMark.ConterEx(Ex), 4);
double Var_Pirson = Math.Round(PointMark.Var_Pirson(AVE, SQRAve), 4);
double no_param_kovar = Math.Round(PointMark.No_Param_Kovar(MED, MAD), 4);
double yolsh = Math.Round(PointMark.Yolsh(X), 4);
double llSQRAve = Math.Round(Interval_Mark.LowLimitSQRAve(SQRAve, sum, X), 4);
double llAVE = Math.Round(Interval_Mark.LowLimitAve(AVE, SQRAve, sum, X), 4);
double llAs = Math.Round(Interval_Mark.LowLimitAssimetric(As, sum, X), 4);
double llEx = Math.Round(Interval_Mark.LowLimitExes(Ex, sum, X), 4);
double llContrEX = Math.Round(Interval_Mark.LowLimitContrExes(ContrEx, Ex, sum, X), 4);
double llPirson = Math.Round(Interval_Mark.LowLimitPirson(Var_Pirson, sum, X), 4);
double hlSQRAve = Math.Round(Interval_Mark.HighLimitSQRAve(SQRAve, sum, X), 4);
double hlAVE = Math.Round(Interval_Mark.HighLimitAve(AVE, SQRAve, sum, X), 4);
double hlAs = Math.Round(Interval_Mark.HighLimitAssimetric(As, sum, X), 4);
double hlEx = Math.Round(Interval_Mark.HighLimitExes(Ex, sum, X), 4);
double hlContrEX = Math.Round(Interval_Mark.HighLimitContrExes(ContrEx, Ex, sum, X), 4);
double hlPirson = Math.Round(Interval_Mark.HighLimitPirson(Var_Pirson, sum, X), 4);
double sAve = Math.Round(Mark.sigmaAve(SQRAve, sum), 4);
double sSQRAve = Math.Round(Mark.sigmaSQRAve(SQRAve, sum), 4);
double sAs = Math.Round(Mark.sigmaAssimetric(sum), 4);
double sEx = Math.Round(Mark.sigmaExes(sum), 4);
double sContrEx = Math.Round(Mark.sigmaContrExes(Ex, sum), 4);
double sPiroson = Math.Round(Mark.sigmaPirson(Var_Pirson, sum), 4);
dataGridView1.Columns.Clear();
dataGridView1.Rows.Clear();
dataGridView1.ScrollBars = ScrollBars.Vertical;
dataGridView1.AutoResizeColumns();
dataGridView1.Columns.Add("Mark", "Оцінка");
dataGridView1.Columns.Add("Lowlimit", "Нижня Границя");
dataGridView1.Columns.Add("PMark", "Точкова оцінка");
dataGridView1.Columns.Add("sigma", "σ");
dataGridView1.Columns.Add("Highlimit", "Верхня Границя");
dataGridView1.Rows.Add("MED", "", MED, "", "");
dataGridView1.Rows.Add("MAD", "", MAD, "", "");
dataGridView1.Rows.Add("Медіана середніх Уолша", "", yolsh, "", "");
dataGridView1.Rows.Add("Середнє", llAVE, AVE, sAve, hlAVE);
dataGridView1.Rows.Add("Дисперсія", "", disp, "", "");
dataGridView1.Rows.Add("Середнє квадратичне відхилення", llSQRAve, SQRAve, sSQRAve, hlSQRAve);
dataGridView1.Rows.Add("Коефіцієнт асиметрії", llAs, As, sAs, hlAs);
dataGridView1.Rows.Add("Коефіцієнт ексцесу", llEx, Ex, sEx, hlEx);
dataGridView1.Rows.Add("Коефіцієнт контрексцесу", llContrEX, ContrEx, sContrEx, hlContrEX);
dataGridView1.Rows.Add("Коефіціент варіації Пірсона", llPirson, Var_Pirson, sPiroson, hlPirson);
dataGridView1.Rows.Add("Непараметричний коефіцієнт варіації", "", no_param_kovar, "", "");
}