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How to plot probability density curve?

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Andi
Andi 2021 年 12 月 8 日
コメント済み: Andi 2022 年 3 月 30 日
I have modify the strip as per my data but its the resulst are not expected. Why the movemedian=25 is fixed here.
X = readmatrix('R_0.01.csv');
r_a=[X(1,:)];
r_b=[X(2,:)];
r_c=[X(3,:)];
r_d=[X(4:8,:)];
r_e=[X(9:12,:)];
r_f=[X(13:16,:)];
r_g=[X(17:26,:)];
r_h=[X(27:48,:)];
r_i=[X(49:120,:)];
r_j=[X(121:186,:)];
r_aam = (r_a(~isnan(r_a)));
r_abm = r_b(~isnan(r_b));
r_acm = r_c(~isnan(r_c));
r_adm = r_d(~isnan(r_d));
r_aem = r_e(~isnan(r_e));
r_afm = r_f(~isnan(r_f));
r_agm = r_g(~isnan(r_g));
r_ahm = r_h(~isnan(r_h));
r_aim = r_i(~isnan(r_i));
r_ajm= r_j(~isnan(r_j));
pd = makedist('Normal')
[f1,x1,flo1,fup1] = ecdf(r_aam);
[f2,x2,flo2,fup2] = ecdf(r_abm);
[f3,x3,flo3,fup3] = ecdf(r_acm);
[f4,x4,flo4,fup4] = ecdf(r_adm);
[f5,x5,flo5,fup5] = ecdf(r_aem);
[f6,x6,flo6,fup6] = ecdf(r_afm);
[f7,x7,flo7,fup7] = ecdf(r_agm);
[f8,x8,flo8,fup8] = ecdf(r_ahm);
[f9,x9,flo9,fup9] = ecdf(r_aim);
[f10,x10,flo10,fup10] = ecdf(r_ajm);
figure
plot(x, f)
grid
title('Empirical CDF')
dfdxs1 = smoothdata(gradient(f1)./gradient(x1), 'movmedian',25);
dfdxs2 = smoothdata(gradient(f2)./gradient(x2), 'movmedian',20);
dfdxs3 = smoothdata(gradient(f3)./gradient(x3), 'movmedian',25);
dfdxs4 = smoothdata(gradient(f4)./gradient(x4), 'movmedian',25);
dfdxs5 = smoothdata(gradient(f5)./gradient(x5), 'movmedian',25);
dfdxs6 = smoothdata(gradient(f6)./gradient(x6), 'movmedian',25);
dfdxs7 = smoothdata(gradient(f7)./gradient(x7), 'movmedian',25);
dfdxs8 = smoothdata(gradient(f8)./gradient(x8), 'movmedian',25);
dfdxs9 = smoothdata(gradient(f9)./gradient(x9), 'movmedian',25);
dfdxs10 = smoothdata(gradient(f10)./gradient(x10), 'movmedian',1000);
aaa1=smooth(dfdxs1)
aaa2=smooth(dfdxs2)
aaa3=smooth(dfdxs3)
aaa4=smooth(dfdxs4)
aaa5=smooth(dfdxs5)
aaa6=smooth(dfdxs6)
aaa7=smooth(dfdxs7)
aaa8=smooth(dfdxs8)
aaa9=smooth(dfdxs9)
aaa10=smooth(dfdxs10)
figure
plot(x1, aaa1)
plot(x2, aaa2)
plot(x3, aaa3)
plot(x4, aaa4)
plot(x5, aaa5)
plot(x6, aaa6)
plot(x7, aaa7)
plot(x8, aaa8)
plot(x9, aaa9)
plot(x10, aaa10)

採用された回答

Star Strider
Star Strider 2021 年 12 月 8 日
For data with an unknown distribution, I generally use the empirical cumulative distribution (ecdf) function to get the CDF, and the use the gradient function to derive the PDF. This is generally more robust than estimating the PDF directly, at least in my experience.
.
  10 件のコメント
Torsten
Torsten 2022 年 3 月 30 日
編集済み: Torsten 2022 年 3 月 30 日
Use MATLAB's "ksdensity".
Andi
Andi 2022 年 3 月 30 日
I try with the ksdensity but results are not expected.

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