Want help in Discretising a cummulative distribution plot.

2011 6 26
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Hi all,
Actually I want to discretize a cummulative distribution plot so that I can obtain certain bands in the cdfplot. Please see the screenshot below, it will be much helpful to visualize what i am trying to obtain. http://virgintech.org/DiscretiseCDF.JPG
Many thanks in advance!
Shahab

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Andrew Newell
Andrew Newell 2011-6-26

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It sounds like what you are after is a set of quantiles. If you have a set of data for your cdf, you can use quantile.
If you have a function for your cdf such as normcdf, you would use the inverse function ( e.g., norminv).
All the above assumes you have the Statistics Toolbox.
EDIT: I looked again at your figure and realized that the independent variable is on the vertical axis (not what I would expect). To get a plot of that sort, you could do the following:
  1. For each power level Pow(i), find the fraction of data less than or equal to Pow(i) to get your cumulative probability p(i).
  2. Plot the bands using stair(p,Pow).
A more common approach, though, would be to select your cumulative probabilities, use quantile to determine the corresponding power levels, and plot using stair(Pow,p).

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Shahab Khan
Shahab Khan 2011-6-27

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Dear Andrew, Many thanks for your quick reply. and my apologies for replying to you late. Actually I had no internet connection yesterday so couldn't reply. Btw I have the 17520 data points and from those data points I have drawn the CDF that I showed you in the link above. Are you saying that using quantile I can get those bands in CDF?

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Andrew Newell
Andrew Newell 2011-6-27
Keep in mind that responses to answers should be comments (like the one I'm writing), not answers.
Shahab Khan
Shahab Khan 2011-6-28
many thanks again Andrew ...your help is appreciated!! I will try implementing your suggestion would let you know the result.
Btw i mistakenly added my response in answer section but now i will keep it in mind. Thanks
Shahab Khan
Shahab Khan 2011-6-29
Hi andrew ..I tried your suggestion and it worked out :). Many thanks for your time and attention!!

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