- 在线时间
- 2 小时
- 最后登录
- 2017-7-6
- 注册时间
- 2008-8-3
- 听众数
- 4
- 收听数
- 0
- 能力
- 0 分
- 体力
- 76 点
- 威望
- 0 点
- 阅读权限
- 20
- 积分
- 39
- 相册
- 0
- 日志
- 0
- 记录
- 0
- 帖子
- 32
- 主题
- 12
- 精华
- 0
- 分享
- 0
- 好友
- 0
升级   35.79% 该用户从未签到
 |
贴一个蒙特卡洛方法的matlab程序,供大家使用。8 S$ M# X1 k2 h" _
祝大家比赛都能取得好成绩
4 C1 ]' D T$ h g- M' u1 S$ f i$ _5 D
, ^/ C$ g) B) { t- [ P
% Example Monte Carlo Simulation in Matlab
- J- S# c! G8 _: U" }' g) R& Q- Y. z% Function: y = x2^2/x1
3 ^6 O t$ o; m. D1 ~% : R: N% G' z0 f+ T+ ^$ F) R9 M
% Generate n samples from a normal distribution / ~- S+ _$ A- ]+ ]% r
% r = ( randn(n,1) * sd ) + mu
9 @6 o: S" E- I" f% mu : mean 3 h5 u% K1 t+ l6 Z6 k
% sd : standard deviation
0 B2 c2 T$ [" z) \5 c%
4 Y }) r2 s; V! B% Generate n samples from a uniform distribution
5 y1 q7 U4 g6 T% r = a + rand(n,1) * (b-a)
0 B2 b% b5 E2 c5 o# w9 g/ h: b/ E% a : minimum
, E" j+ t; E) f* `% b : maximum
2 N/ `+ e `. x; N A, G+ B4 Mn = 100000; % The number of function evaluations
, N4 x9 P% z, _) G# b" {4 c% --- Generate vectors of random inputs
" i. H5 a! L; _0 U) z4 M3 }% x1 ~ Normal distribution N(mean=100,sd=5)
4 e/ w7 z0 A0 L9 o. k5 _7 j% x2 ~ Uniform distribution U(a=5,b=15)
3 D2 C4 I% Q/ Vx1 = ( randn(n,1) * 5 ) + 100; 7 Z u, g5 p* P( B" E) ?
x2 = 5 + rand(n,1) * ( 15 - 5 );
0 N/ Z- C7 D8 D" P! L6 `% --- Run the simulation / |6 G7 z g3 P3 @
% Note the use of element-wise multiplication $ ]5 n4 _; ~) Y6 y0 B
y = x2.^2 ./ x1; ' C4 \: ]3 M ^7 f8 R( R
% --- Create a histogram of the results (50 bins) 8 m3 @/ U2 R! n. f
hist(y,50);
+ R: I, ~6 E8 s! w- C6 F% --- Calculate summary statistics 7 n- V+ L0 i. U4 q
y_mean = mean(y)
. y% B! g! z1 Ky_std = std(y) " w* {; P! U! v
y_median = median(y) |
zan
|