随机模拟实验.doc

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 a2+b2 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(V1U=rand;i=fix(k*U)+1;m=P(k);P(k)=P(i);P(i)=m;k=k-1;end PP = 9 4 10 1 5 19 11 17 18 15 6 12 7 3 8 16 13 2 20 144.1： X=1+(rand(1,100)1/3);tabulate(X) Value Count Percent 1 34 34.00% 2 66 66.00% X=1+(rand(1,1000)1/3);tabulate(X) Value Count Percent 1 337 33.70% 2 663 66.30% X=1+(rand(1,10000)1/3);tabulate(X) Value Count Percent 1 3288 32.88% 2 6712 67.12% X=1+(rand(1,100000)1/3);tabulate(X) Value Count Percent 1 33463 33.46% 2 66537 66.54% s=0; for i=1:1000u=rand;if u ss = 332 s/1000ans =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：u=rand;if u u=rand;if u0.55x=2*floor(u/0.11)+5;else x=2*floor(u-0.55)/0.09)+6;end uxu = 0.4860x =134.15：u=rand;if u0.3 x=floor(u/0.06)+1;elseif u0.6 x=3*(floor(u-0.3)/0.15)+1)+3;elseif u0.86 x=3*(floor(u-0.6)/0.13)+1)+4;else x=8;enduxu = 0.2311x = 4u=rand;if u0.3 x=floor(u/0.06)+1;elseif u0.6 x=3*(floor(u-0.3)/0.15)+1)+3;elseif u0.86 x=3*(floor(u-0.6)/0.13)+1)+4;else x=8;enduxu = 0.9501x = 8u=rand;if u0.3 x=floor(u/0.06)+1;elseif u0.6 x=3*(floor(u-0.3)/0.15)+1)+3;elseif u0.86 x=3*(floor(u-0.6)/0.13)+1)+4;else x=8;enduxu = 0.6068x = 7u=rand;if u0.3 x=floor(u/0.06)+1;elseif u0.6 x=3*(floor(u-0.3)/0.15)+1)+3;elseif u0.86 x=3*(floor(u-0.6)/0.13)+1)+4;else x=8;enduxu = 0.4860x = 94.16：q1=1/2;q2=2/3;u=rand(1,100);if u1/2X=floor(log(u)/log(q1)+1else X=floor(log(u)/log(q2)+1;endu,Xu = Columns 1 through 12 0.9501 0.2311 0.6068 0.4860 0.8913 0.7621 0.4565 0.0185 0.8214 0.4447 0.6154 0.7919 Columns 13 through 24 0.9218 0.7382 0.1763 0.4057 0.9355 0.9169 0.4103 0.8936 0.0579 0.3529 0.8132 0.0099 Columns 25 through 36 0.1389 0.2028 0.1987 0.6038 0.2722 0.1988 0.0153 0.7468 0.4451 0.9318 0.4660 0.4186 Columns 37 through 48 0.8462 0.5252 0.2026 0.6721 0.8381 0.0196 0.6813 0.3795 0.8318 0.5028 0.7095 0.4289 Columns 49 through 60 0.3046 0.1897 0.1934 0.6822 0.3028 0.5417 0.1509 0.6979 0.3784 0.8600 0.8537 0.5936 Columns 61 through 72 0.4966 0.8998 0.8216 0.6449 0.8180 0.6602 0.3420 0.2897 0.3412 0.5341 0.7271 0.3093 Columns 73 through 84 0.8385 0.5681 0.3704 0.7027 0.5466 0.4449 0.6946 0.6213 0.7948 0.9568 0.5226 0.8801 Columns 85 through 96 0.1730 0.9797 0.2714 0.2523 0.8757 0.7373 0.1365 0.0118 0.8939 0.1991 0.2987 0.6614 Columns 97 through 100 0.2844 0.4692 0.0648 0.9883X = Columns 1 through 20 1 4 2 2 1 1 2 10 1 2 2 1 1 1 5 3 1 1 3 1 Columns 21 through 40 8 3 1 12 5 4 4 2 4 4 11 1 2 1 2 3 1 2 4 1 Columns 41 through 60 1 10 1 3 1 2 1 3 3 5 5 1 3