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贴一个蒙特卡洛方法的matlab程序,供大家使用。
/ G0 X$ m, m0 M, ]0 A$ \祝大家比赛都能取得好成绩
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. i8 n6 k. q/ Y9 g% Example Monte Carlo Simulation in Matlab ; Z- [# `; s2 S$ P. [
% Function: y = x2^2/x1
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% Generate n samples from a normal distribution
( H4 z4 c% ^6 l. Q2 U& [4 L, O% r = ( randn(n,1) * sd ) + mu
1 H$ Q# ~+ W V9 D: @* B% mu : mean
& c4 N+ K; C9 }+ ]9 m( h8 K, P% sd : standard deviation
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7 {5 ]1 y* f" h. t3 k$ k% Generate n samples from a uniform distribution 3 U8 x, Y' s ~; X
% r = a + rand(n,1) * (b-a) . h# F( C; N$ M1 i* O) e
% a : minimum 9 D+ L. v- t( `. s G# `* o
% b : maximum + _' l& \/ `* F% a6 ^; d! f
n = 100000; % The number of function evaluations . A2 @* p4 a7 o9 i: x+ S! u" m
% --- Generate vectors of random inputs
9 E8 Z: c( B0 q( F, v" V, Q; M: d, b% x1 ~ Normal distribution N(mean=100,sd=5)
" f) n! h8 X* L" l& j( O% x2 ~ Uniform distribution U(a=5,b=15) * b6 b5 D' K/ l! U
x1 = ( randn(n,1) * 5 ) + 100;
, x+ \5 n; T) C' b! b6 Tx2 = 5 + rand(n,1) * ( 15 - 5 );
% \( u# L" j$ B) W% --- Run the simulation
9 J/ ]% x* H/ ?: W- n% Note the use of element-wise multiplication ; T; M8 W/ o) D" }7 V1 ]0 B
y = x2.^2 ./ x1; ! q; F* c3 b- v5 n
% --- Create a histogram of the results (50 bins)
m% ~6 O! T! J# ~* F7 d% n# g9 T3 x/ ~hist(y,50); ; m. k9 [+ M, k. \' \: u
% --- Calculate summary statistics ' d- n3 d( e1 F9 I9 }6 h
y_mean = mean(y) 4 ~ w7 m" n0 g6 v+ q; |
y_std = std(y) ; X8 y, n5 C- S2 r! Q4 W
y_median = median(y) |
zan
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