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贴一个蒙特卡洛方法的matlab程序,供大家使用。+ @, X5 P7 q$ X* p x
祝大家比赛都能取得好成绩
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( e: b8 z- w2 f7 Q+ E% Example Monte Carlo Simulation in Matlab
7 x1 ?& b* ~5 u. k* @0 ~ `; O% Function: y = x2^2/x1 * k- \0 N8 Y, d, b1 u; \! V
%
/ ~& a# r6 w+ J% Generate n samples from a normal distribution
9 f& w# K/ {- m! X" L& L% r = ( randn(n,1) * sd ) + mu
" S2 r/ S! y+ z4 y% mu : mean V% P9 G+ J$ p" \$ H
% sd : standard deviation
9 m: x r; h$ G3 c: Q%
6 @/ `$ `& X! l% z4 \% Generate n samples from a uniform distribution
2 U" W/ q& x, g% r = a + rand(n,1) * (b-a)
/ @: k- U. ~9 t$ v6 s% a : minimum 8 S5 `7 |/ T/ q+ L. v1 a) l
% b : maximum / b6 X0 J& Y) i9 b# r
n = 100000; % The number of function evaluations + `+ o, p5 M8 ?
% --- Generate vectors of random inputs 5 J" S) v& Z+ N* o- t7 x
% x1 ~ Normal distribution N(mean=100,sd=5)
# B0 Q; h7 }- n& U/ ~$ p% x2 ~ Uniform distribution U(a=5,b=15) 7 S! z+ ?# W+ v6 m
x1 = ( randn(n,1) * 5 ) + 100; / Y' W3 v/ c3 p! A1 s
x2 = 5 + rand(n,1) * ( 15 - 5 );
+ Y$ O1 V( F7 m( @) _0 w% --- Run the simulation 4 j! E- y. U- Q5 [& J
% Note the use of element-wise multiplication
! q/ I+ h9 |1 x6 q% }y = x2.^2 ./ x1;
! B5 ]! v6 i* B+ C+ M3 V: Q) D4 N% --- Create a histogram of the results (50 bins)
3 z7 w0 v C3 ^* chist(y,50);
1 _+ M, E, W% j1 r: m( j1 k. V% --- Calculate summary statistics 5 }; f% i6 \5 A, h
y_mean = mean(y) ) q' B! L& z3 F2 J3 }& S8 k9 U6 X
y_std = std(y) 7 s$ t' i# g$ C* N/ S: l0 q( j
y_median = median(y) |
zan
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