Plot and compare probability distribution (3 Dimension) in matlab

Dear Experts,

How to plot and compare probability distribution (3 Dimension) in matlab. Is there any specific function in matlab.

Many thanks in advance for you help

regards

SM

Answer 1

[Daniel Shub]

Do you mean your probability distributions depend on 3 dimensions (x,y,z) or two dimensions (x,y) with the probability being the third?

If you probability only depends on x and y, then you could use mesh

doc mesh

If you need an additional dimension, you could look at conditional probabilities, things like P(x,y|z), and use mesh. You could also try and parameterize the distributions. MATLAB can help you do all these things, but you need to know what you want to do.

[Sayanta]

Hi Daniel,

I would like to explain my problem in details:

I want to plot probability distribution from two system A and B. A is observed data of a system. B is the output of an algorithm. Both data are probability distribution of 5 dimension. I want to plot the probability distribution. Is there any matlab function can plot the distribution. I try to use probplot in matlab but doesn't work.

A =

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

1 0 0 0 0

0 0 0 1 0

0 0 1 0 0

0 0 1 0 0

0 0 1 0 0

B =

1.0000 0 0 0 0

0.8667 0.0267 0.0667 0.0267 0.0133

0.8425 0.0422 0.0806 0.0231 0.0116

0.8415 0.0455 0.0792 0.0225 0.0112

0.8426 0.0451 0.0787 0.0224 0.0112

0.8427 0.0449 0.0786 0.0225 0.0112

0.8427 0.0449 0.0786 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

0.8427 0.0449 0.0787 0.0225 0.0112

[Daniel Shub]

You cannot visualize 5 dimensions. 2 dimensions is trivial, three is easy, 4 is doable (for example with slices or time), 5 is not practical. You need to do some sort of dimension reduction (e.g., PCA)

Answer 2

[Sean de Wolski]

figure;
subplot(121);
mesh(A)
subplot(122);
mesh(B)

?

Answer 3

[Yesid Goyes]

hello. you must used SLICE

doc slice

I have this problem for seismic data.