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贴一个蒙特卡洛方法的matlab程序,供大家使用。, t2 E. {* o. w
祝大家比赛都能取得好成绩
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% Example Monte Carlo Simulation in Matlab ! k5 O$ B2 J( O, z$ c5 W
% Function: y = x2^2/x1 % a' t: e, M, v
% , x" ^3 f3 j1 i6 E. W3 U, h* H! Y* i
% Generate n samples from a normal distribution [1 Z+ H2 Q a+ y. L# L/ ^
% r = ( randn(n,1) * sd ) + mu
! t- j$ |9 M! H% A: n3 `% G3 ~2 \% mu : mean
& o) R. Q/ u1 s7 @. D% sd : standard deviation
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% Generate n samples from a uniform distribution
E4 H. ?4 L6 N* q& N2 N% r = a + rand(n,1) * (b-a)
+ N6 f4 n2 K% a4 e, A8 [- G: B- \; P9 f% a : minimum
% |8 N4 A3 @) P$ q8 D% b : maximum
1 X8 Z$ X! W$ ~. G7 U! s4 |n = 100000; % The number of function evaluations
( B7 }0 w* y( h$ `. g& m" Y F6 S* M% --- Generate vectors of random inputs 0 v6 _& p0 o( E4 c
% x1 ~ Normal distribution N(mean=100,sd=5)
; |8 T4 X/ z, A% l" ` B1 Q& b1 f% x2 ~ Uniform distribution U(a=5,b=15) " C: O% x3 w& {2 A; y
x1 = ( randn(n,1) * 5 ) + 100;
8 L& s: E" M) kx2 = 5 + rand(n,1) * ( 15 - 5 );
% g9 }% S* ?4 l& d/ b6 O5 \% --- Run the simulation
& y( J5 K9 Y& L9 i1 W6 \' @2 R f% Note the use of element-wise multiplication
1 ^* c7 n. \# B" g7 N' S% iy = x2.^2 ./ x1;
9 b# J! F0 X$ h+ l. s: M% --- Create a histogram of the results (50 bins)
6 H/ C' c* Y0 o4 A1 \hist(y,50);
3 s u1 V1 J1 A+ @# W) P* f% --- Calculate summary statistics 4 A; ?2 l4 b% H; T7 w! h3 G0 H
y_mean = mean(y) " |* r1 D2 c% O. ^- _& f' K
y_std = std(y)
- X2 K/ E, [* F4 j) V# a# Ty_median = median(y) |
zan
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