Is there a function to determine the non-exceedance probability of each value in the table?

Question

Macy 2023-2-12

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https://ww2.mathworks.cn/matlabcentral/answers/1911280-is-there-a-function-to-determine-the-non-exceedance-probability-of-each-value-in-the-table

评论： Macy 2023-2-13

practice3.xlsx

Table = readtable("practice3.xlsx");
x = Table.values
x = 10×1
         450
        1100
        1060
         700
         350
          80
        2310
        2000
         370
          50

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Answer 1

the cyclist 2023-2-12

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https://ww2.mathworks.cn/matlabcentral/answers/1911280-is-there-a-function-to-determine-the-non-exceedance-probability-of-each-value-in-the-table#answer_1169955

编辑：the cyclist 2023-2-12

在 MATLAB Online 中打开

Using info from your near-duplicate of this question:

Table = readtable("https://www.mathworks.com/matlabcentral/answers/uploaded_files/1293540/practice3.xlsx");
x = Table.values
x = 10×1
         450
        1100
        1060
         700
         350
          80
        2310
        2000
         370
          50
nonExceedanceProbability = sum(x'<=x,2)/numel(x)
nonExceedanceProbability = 10×1
    0.5000
    0.8000
    0.7000
    0.6000
    0.3000
    0.2000
    1.0000
    0.9000
    0.4000
    0.1000

This assumes that you are trying only to do the purely empirical non-exceedance for this particular set of values. If, instead, this is a sample and you are trying to estimate something about a population, you'll need to provide the info that @Torsten mentions.

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Macy 2023-2-13

Thanks! Yes for now I just need empirical non-exceedance.

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Answer 2

Torsten 2023-2-12

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https://ww2.mathworks.cn/matlabcentral/answers/1911280-is-there-a-function-to-determine-the-non-exceedance-probability-of-each-value-in-the-table#answer_1169950

编辑：Torsten 2023-2-12

在 MATLAB Online 中打开

practice3.xlsx

You will first have to tell us the type of distribution the values are supposed to follow (e.g. log-normal distribution).

After this, you will have to determine the parameters of this distribution from your measurement data.

After this, you will be able to plot a non-exceedance probability curve.

e.g.

Table = readtable("practice3.xlsx");

x = Table.values

x = 10×1

450 1100 1060 700 350 80 2310 2000 370 50

params = mle(x,'Distribution','LogNormal')

params = 1×2

6.2041 1.2021

hold on

y = linspace(0,max(x));

plot(y,logncdf(y,params(1),params(2)))

legend('Non-Exceedance Probability')

hold off

grid on

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Macy 2023-2-13

Thank you, I was looking for a command that would help me find emprical non-exeedance values, but this was going to be my second question which you answered.

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