Devinya Herath asked . 2022-07-02

Kernel Density for 2D data

I have two series of data(both of type double). I want to generate a kernel density plot from these. Pls help. My coding is given below.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
curs1 = exec(conn, 'select sp_x, sp_y from road_part6_trajectories_oneway2_new_segments_cartesian2');

format long;

curs1 = fetch(curs1);

AA = curs1.Data;

x = [AA{:,1}]';

y = [AA{:,2}]';

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

I want to generate the kernel density or any other suitable density plot for x and y. pls advise.

ksdensity , AI, Data Science, and Statistics , Statistics and Machine Learning Toolbox

Expert Answer

Prashant Kumar answered . 2024-12-21 02:25:01

The function ksdensity() will do kernel density estimation. It's not clear to me what your x and y represent, so it's hard to give more specific advice than that.

In response to comments, here is some code with an example of 2-d kernel density estimation, with a plot of the results. Important note: this assumes that x and y are independent from each other.

% Generate some normally distributed data
x = randn(50,1);
y = randn(50,1);

% Estimate a continuous pdf from the discrete data
[pdfx xi]= ksdensity(x);
[pdfy yi]= ksdensity(y);

% Create 2-d grid of coordinates and function values, suitable for 3-d plotting
[xxi,yyi]     = meshgrid(xi,yi);
[pdfxx,pdfyy] = meshgrid(pdfx,pdfy);

% Calculate combined pdf, under assumption of independence
pdfxy = pdfxx.*pdfyy; 

% Plot the results
mesh(xxi,yyi,pdfxy)
set(gca,'XLim',[min(xi) max(xi)])
set(gca,'YLim',[min(yi) max(yi)])

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