Estimating & Plotting PDF & CDF of Random Variable X in MATLAB

[man*]

halw
could anyone help me in writing this project in MATLAB ??


A random variable X is observed at certain experiment. 100,000 samples of this random
variable are stored in a vector called samples.
1. Use MATLAB to read the samples of this random variable. To read these samples
you should download the file projectfile.mat from the WebCT in your computer and
your first statement in the MATLAB file is going to be:
load projectfile.mat samples
….
Once you read the vector samples try to do the following:
2. Estimate the pdf of X and plot the estimated pdf.
3. Estimate the cdf of X and plot the estimated cdf.

 

[berkeman]

Thread moved from EE to Homework Help.

Welcome to the PF, man*. You need to show us your own work before we can offer tutorial help. How would you go about starting this problem?

 

[piercas]

To estimate the pdf and cdf of a random variable X in MATLAB, you can use the built-in functions "histogram" and "cdfplot" respectively. These functions take in the vector of samples as input and automatically estimate the pdf and cdf using different methods (such as kernel density estimation).

Here is an example code that you can use to estimate and plot the pdf and cdf of X:

% Load the samples vector
load projectfile.mat samples

% Estimate and plot the pdf
figure
histogram(samples, 'Normalization', 'pdf')
title('Estimated PDF of Random Variable X')
xlabel('X')
ylabel('PDF')

% Estimate and plot the cdf
figure
cdfplot(samples)
title('Estimated CDF of Random Variable X')
xlabel('X')
ylabel('CDF')

You can also customize the plots by changing the number of bins in the histogram or using a different method for estimating the pdf and cdf. MATLAB has many resources and tutorials available online to help with this project. I recommend starting with the MATLAB documentation and searching for specific functions or concepts that you need help with. Good luck!