随机模拟实验.docx

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1、教师:龚敏庆学生:吴欢、谢德悠、邓春霞、李丽、杨思文、汪德萍、贺阳、赵泽海Example 3a:>> s=0;for i=1:500000a=rand;b=rand;if aA2+bA2<=1s=s+1;endendpi=4*s/500000pi =3.14423.2:x0=3;xn=zeros(1,11);x(1)=x0;for i=1:10x(i+1)=mod(5*x(i)+7,200); endx3 22 117 192 167 42 17 92 67142 1173.3:for i=1:100x(i)=rand;endg=exp(exp(x);theta=mean(g

2、) theta =6.5560 3.12:>> N=;for i=1:100V=cumsum(rand(1,100);N=N 1+sum(V<=1);endmean(N)ans =2.6900N=;for i=1:10000V=cumsum(rand(1,10000);N=N,1+sum(V<=1);endmean(N)ans =2.7168Example 4bP=1:20;k=20;while k>1U=rand;i=fix(k*U)+1;m=P(k);P(k)=P(i);P(i)=m;k=k-1;end>> PP =9410151911171815

3、6127381613220144.1:>> X=1+(rand(1,100)>1/3);tabulate(X)Value Count Percent13434.00%26666.00%>> X=1+(rand(1,1000)>1/3);tabulate(X)Value Count Percent133733.70%266366.30%>> X=1+(rand(1,10000)>1/3);tabulate(X)Value Count Percent1328832.88%2671267.12%>> X=1+(rand(1,10000

4、0)>1/3);tabulate(X)Value Count Percent13346333.46%26653766.54%> > s=0;> > for i=1:1000 u=rand;if u<=1/3s=s+1;endend> > s332 >> s/1000 ans =0.33204.11:>> X=randn(1,1000);>> Y=abs(X);>> mean(Y) ans =0.7556X=randn(1,10000);Y=abs(X);mean(Y)ans =0.79924.14:

5、u=rand;if u<0.55x=2*floor(u/0.11)+5;else x=2*floor(u-0.55)/0.09)+6; enduxu =0.6068 x =6>> u=rand;if u<0.55x=2*floor(u/0.11)+5;else x=2*floor(u-0.55)/0.09)+6; enduxu =0.4860134.15:u=rand;if u<0.3x=floor(u/0.06)+1;elseif u<0.6x=3*(floor(u-0.3)/0.15)+1)+3;elseif u<0.86x=3*(floor(u-

6、0.6)/0.13)+1)+4;elsex=8;enduxu =0.2311 x =4 u=rand; if u<0.3x=floor(u/0.06)+1;elseif u<0.6x=3*(floor(u-0.3)/0.15)+1)+3; elseif u<0.86x=3*(floor(u-0.6)/0.13)+1)+4; elsex=8;endux0.95018 u=rand; if u<0.3x=floor(u/0.06)+1;elseif u<0.6x=3*(floor(u-0.3)/0.15)+1)+3; elseif u<0.86x=3*(floo

7、r(u-0.6)/0.13)+1)+4; elsex=8;enduxu =0.6068 x =7 u=rand; if u<0.3x=floor(u/0.06)+1;elseif u<0.6x=3*(floor(u-0.3)/0.15)+1)+3; elseif u<0.86x=3*(floor(u-0.6)/0.13)+1)+4; elsex=8;endux0.76210.91690.19880.01960.4860 x =94.16:q1=1/2;q2=2/3;u=rand(1,100);if u<1/2X=floor(log(u)/log(q1)+1else X=

8、floor(log(u)/log(q2)+1;endu,Xu =Columns 1 through 120.95010.23110.60680.48600.89130.45650.01850.82140.44470.61540.7919Columns 13 through 240.92180.73820.17630.40570.93550.41030.89360.05790.35290.81320.0099Columns 25 through 360.13890.20280.19870.60380.27220.01530.74680.44510.93180.46600.4186Columns

9、37 through 480.84620.52520.20260.67210.83810.68130.37950.83180.50280.70950.4289Columns 49 through 600.30460.18970.19340.68220.30280.54170.15090.69790.37840.86000.85370.5936Columns 61 through 720.49660.89980.82160.64490.81800.66020.34200.28970.34120.53410.72710.3093Columns 73 through 840.83850.56810.

10、37040.70270.54660.44490.69460.62130.79480.95680.52260.8801Columns 85 through 960.17300.97970.27140.25230.87570.73730.13650.01180.89390.19910.29870.6614Columns 97 through 1000.28440.46920.06480.9883X =Columns 1 through 20142211210122111531131Columns 21 through 408311254424411121231241Columns 41 through 60110131213355132513112Columns 61 through 8021121234321312312212Columns 81 through 100112151441151114324271

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