Реферат: Теорія імовірностей та математична статистика

s1:=t;

s2:=xi[i];

s3:=xi[i]+sx;

Memo1.lines[i]:=s1 + ', ' + s2 + '=<x<' + s3;

end;

s2:=xi[r-1];

Memo1.lines[r]:='1, x>=' + s2;

{serednie}

tx:=0;

for i:=1 to n do

tx:=tx+p[i];

ser:=tx/n;t:=ser;

Edit15.text:=t;

{Deviacia}

tx:=0;

for i:=1 to n do

tx:=tx+(p[i]-ser)*(p[i]-ser);

t:=tx;

Edit8.Text:=t;

{Variansa}

if n<>1 then dx:=tx/(n-1);t:=dx;

Edit9.Text:=t;

{momenty}

for i:=1 to n do {1}

dx:=dx+p[i]-ser;

dx:=dx/n;

t:=dx;

Edit7.Text:=t;

tx:=tx/n;t:=tx; {2}

Edit12.Text:=t;

dx:=0;

for i:=1 to n do {3}

dx:=dx+(p[i]-ser)*(p[i]-ser)*(p[i]-ser);

dx:=dx/n;

t:=dx;

Edit13.Text:=t;

{Assymetrija}

if tx<>0 then dx:=dx/(sqrt(tx)*sqrt(tx)*sqrt(tx));

t:=dx;

Edit10.Text:=t;

dx:=0;

for i:=1 to n do {4}

dx:=dx+(p[i]-ser)*(p[i]-ser)*(p[i]-ser)*(p[i]-ser);

dx:=dx/n;

t:=dx;

Edit14.Text:=t;

{Eksces}

dx:=dx/(tx*tx)-3;

t:=tx;

Edit11.Text:=t;

s:=ser;

end;

end;

procedure TForm2.Button3Click(Sender: TObject);

begin

Form3.ShowModal;

end;

end.

unit Unit3;

interface

uses main, unit2,

Windows, Messages, SysUtils, Classes, Graphics, Controls, Forms, Dialogs,

OleCtrls, graphsv3;

type

TForm3 = class(TForm)

Graph1: TGraph;

Graph2: TGraph;

Graph3: TGraph;

Graph4: TGraph;

procedure FormActivate(Sender: TObject);

private

{ Private declarations }

public

{ Public declarations }

end;

var

Form3: TForm3;

implementation

{$R *.DFM}

procedure TForm3.FormActivate(Sender: TObject);

var i,j:integer;dx:double;nxi,fi:variant;

begin

dx:=sx;

sx:=0;

if typ=true then begin

Graph1.RandomData:=0;

Graph1.GraphTitle:='Гістограма';

Graph1.GraphType:=3;

Graph1.NumPoints:=m;

for i:=1 to m do begin

Graph1.Data[i]:=ni[i];

Graph1.XPosData:=xi[i];

end;

Graph2.RandomData:=0;

Graph2.GraphTitle:='Полігон';

Graph2.GraphType:=6;

Graph2.NumPoints:=m;

for i:=1 to m do begin

Graph2.Data[i]:=ni[i];

Graph2.XPosData:=xi[i];

end;

Graph3.RandomData:=0;

Graph3.GraphTitle:='Діаграма';

Graph3.GraphType:=6;

Graph3.GraphStyle:=2;

Graph3.NumPoints:=m;

for i:=1 to m do begin

Graph3.XPosData:=xi[i];

Graph3.Data[i]:=ni[i];

end;

Graph4.RandomData:=0;

Graph4.GraphTitle:='Функція розподілу';

Graph4.GraphType:=6;

Graph4.NumPoints:=2*m+2;

fi := VarArrayCreate([0,2*m+2], varDouble);

nxi := VarArrayCreate([0,2*m+2], varDouble);

for i:=1 to m do begin

sx:=wi[i]+sx;

fi[2*i]:=sx-wi[i];

fi[2*i+1]:=sx;

nxi[2*i]:=xi[i];

nxi[2*i+1]:=xi[i];

end;

fi[2*m+2]:=1;

nxi[1]:=xi[1]-s;

nxi[2*m+2]:=xi[m]+s;

j:=0;

for i:=1 to 2*m+2 do begin

Graph4.Data[i]:=fi[i];

Graph4.XPosData:=nxi[i];

end;

end

else begin

Graph1.RandomData:=0;

Graph1.GraphTitle:='Гістограма';

Graph1.GraphType:=3;

Graph1.NumPoints:=r-1;

for i:=1 to r-1 do begin

Graph1.Data[i]:=ni[i];

Graph1.XPosData:=xi[i];

end;

Graph2.RandomData:=0;

Graph2.GraphTitle:='Полігон';

Graph2.GraphType:=6;

Graph2.NumPoints:=r-1;

for i:=1 to r-1 do begin

Graph2.Data[i]:=ni[i];

Graph2.XPosData:=xi[i]+dx/2;

end;

Graph3.RandomData:=0;

Graph3.GraphTitle:='Діаграма';

Graph3.GraphType:=6;

Graph3.GraphStyle:=2;

Graph3.NumPoints:=r-1;

for i:=1 to r-1 do begin

Graph3.XPosData:=xi[i]+dx/2;

Graph3.Data[i]:=ni[i];

end;

Graph4.RandomData:=0;

Graph4.GraphTitle:='Функція розподілу';

Graph4.GraphType:=6;

Graph4.NumPoints:=2*(r-1)+2;

fi := VarArrayCreate([0,2*(r-1)+2], varDouble);

nxi := VarArrayCreate([0,2*(r-1)+2], varDouble);

sx:=0;

for i:=1 to r-1 do begin

sx:=wi[i]+sx;

fi[2*i]:=sx-wi[i];

fi[2*i+1]:=sx;

nxi[2*i]:=xi[i];

nxi[2*i+1]:=xi[i];

end;

fi[2*(r-1)+2]:=1;

nxi[1]:=xi[1]-3;

nxi[2*(r-1)+2]:=xi[r-1]+3;

j:=0;

for i:=1 to 2*(r-1)+2 do begin

Graph4.Data[i]:=fi[i];

Graph4.XPosData:=nxi[i];

end;

end;

end;

end.

Список літератури

1. Крамер Гарольд. Математические методы статистики. М.: Мир, 1976.

2. Бух Арлей. Введение в теорию вероятностей и математическую статистику. М., 1951.