- 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。
% F4 C; U, R' R祝大家比赛都能取得好成绩
% l5 p. d0 X- I8 J
. f+ [1 F9 y P2 u# C' j% K3 `
0 ~7 f$ D4 c- }+ B/ v( W+ ~% Example Monte Carlo Simulation in Matlab
" p# g: w4 n! \: P% D. w2 N% Function: y = x2^2/x1 ( W# f* ]" g, @$ z& y; {
%
1 x2 `! i! w9 z0 X1 o% Generate n samples from a normal distribution
& R' ~; G7 M2 ~, O/ Y# K% r = ( randn(n,1) * sd ) + mu ( M7 m8 T" k( D3 f
% mu : mean
3 m* G" M1 ^7 m% sd : standard deviation
}$ [/ ^# _% A ?& `& L%
$ T; b- p" J$ k+ L& j* f; h% Generate n samples from a uniform distribution
9 [ g9 O E- O% r = a + rand(n,1) * (b-a)
) A; L8 c/ o( u/ A3 k# i% a : minimum ( K2 w2 R' ~6 f% Y
% b : maximum
. L. v$ ]- C3 t, {) `( L4 S8 d$ b3 qn = 100000; % The number of function evaluations + j6 K4 W7 M# r2 E$ ?: c) N
% --- Generate vectors of random inputs
' T7 }2 }4 m3 v- G% x1 ~ Normal distribution N(mean=100,sd=5)
' m, c r8 C' S5 h( `% x2 ~ Uniform distribution U(a=5,b=15) * g. z8 j- \6 J0 H; `' B8 v
x1 = ( randn(n,1) * 5 ) + 100; * V7 l- [+ h x: p! o9 E
x2 = 5 + rand(n,1) * ( 15 - 5 );
* n( ]3 F$ G! ?: g+ b* Z% --- Run the simulation
0 ~2 ?1 D4 X3 [! G$ G! T% Note the use of element-wise multiplication # s0 E% R) n. d) j: T
y = x2.^2 ./ x1; 2 O3 h. Y2 d S7 X
% --- Create a histogram of the results (50 bins) % ?, X5 N( N: r4 E
hist(y,50);
; u1 M$ P1 j$ p# H( s% --- Calculate summary statistics
1 ]0 J+ t/ K, b" Ly_mean = mean(y)
; z: o0 v3 j# M$ O6 O4 Jy_std = std(y) & L' x z' |( h# F
y_median = median(y) |
zan
|