How do I generate numbers from an Exponential Distribution within Min and Max values?

Question

Sean Sarran 2023-7-11

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https://ww2.mathworks.cn/matlabcentral/answers/1994408-how-do-i-generate-numbers-from-an-exponential-distribution-within-min-and-max-values

评论： Star Strider 2023-7-11

How to generate random numbers with the exponential distribution applied, and also given a minimum value of 0.5, and a maximum value of 4.3, the mean is 1.5?

How do I add the maximum to the following?

pd = makedist('Exponential','mu', 1.5);

r=0;

while r<0.5

r=random(pd);

end

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Answer 1

Star Strider 2023-7-11

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https://ww2.mathworks.cn/matlabcentral/answers/1994408-how-do-i-generate-numbers-from-an-exponential-distribution-within-min-and-max-values#answer_1271058

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Use the truncate function —

pd = makedist('Exponential','mu', 1.5);

t = truncate(pd, 0.5, 4.3);

r = random(t,10000,1);

figure

histogram(r,100)

.

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John D'Errico 2023-7-11

编辑：John D'Errico 2023-7-11

+1. Truncate is the correct solution, of course. It will sometimes be vastly more efficient compared to rejection schemes too, since random does not need to throw away a significant fraction of the generated samples.

Star Strider 2023-7-11

@John D'Errico — Thank you!

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Answer 2

Vishnu 2023-7-11

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Hi Sean Sarran,

Simply insert a "or" statement in the while loop condition itself to apply a maximum value of 4.3.

Consequently, this is the whole code:

pd = makedist('Exponential', 'mu', 1.5);
r = 0;
while r < 0.5 || r > 4.3
    r = random(pd);
end

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Answer 3

Torsten 2023-7-11

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https://ww2.mathworks.cn/matlabcentral/answers/1994408-how-do-i-generate-numbers-from-an-exponential-distribution-within-min-and-max-values#answer_1271088

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pd = makedist('Exponential','mu', 1.5);
n = 100;
lb = 0.5;
ub = 4.3;
rv = zeros(n,1);
i = 0;
while i < n
    r = random(pd);
    if r >= lb & r <= ub 
        i = i+1;
        rv(i) = r;
    end 
end
rv
rv = 100×1
    3.7779
    1.5435
    0.8186
    2.5542
    3.0388
    2.1058
    1.9611
    1.3722
    0.9059
    3.2783