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I want to get 256 points exponentially sampled in a range, and then get its histogram.

If I plot PDF, I get the following:

Plot[Table[PDF[ExponentialDistribution[\[Lambda]], x], {\[Lambda], {10}}] // Evaluate, {x, 0, 0.5}, Filling -> Axis, PlotRange -> All]

But when I try to get a list, I am not sure how to proceed:

list = N[Table[PDF[ExponentialDistribution[1/10], x], {x, 0, 0.5}]] //Sort
Histogram[list]
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2 Answers 2

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You could use:

trdist = TruncatedDistribution[{0, 0.04}, ExponentialDistribution[10]];
sample = RandomVariate[trdist, 256];

Histogram[sample, {Subdivide[-0.04, 0.08, 15]}]

hist

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You can use RandomVariate to generate samples for given distributions.

sample = RandomVariate[ExponentialDistribution[1/10], 10000] ;
Show[Histogram[sample,100,"ProbabilityDensity"],Plot[PDF[ExponentialDistribution[1/10],x],{x,0,50}]]
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  • $\begingroup$ I also want to specify the range like 256 exponentially distributed points with decay constant as 10 (or any other number) but ranging between 0 and 30 only. $\endgroup$
    – tabi_k
    Commented Jul 7, 2020 at 7:02
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    $\begingroup$ @tabi_k Maybe with TruncatedDistribution ? $\endgroup$
    – b.gates.you.know.what
    Commented Jul 7, 2020 at 12:04
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    $\begingroup$ TruncatedDistribution[{0, 0.04}, RandomVariate[ExponentialDistribution[10], 256]] Didn't work @b.gates.you.know.what $\endgroup$
    – tabi_k
    Commented Jul 8, 2020 at 6:02
  • $\begingroup$ @tabi_k Please see answer. $\endgroup$
    – b.gates.you.know.what
    Commented Jul 8, 2020 at 9:02

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