Le 04/12/2018 à 11:27, Iñaki Ucar a écrit :
On Tue, 4 Dec 2018 at 11:12, <qwey...@mail.ustc.edu.cn> wrote:
function ppois is a function calculate the CDF of Poisson distribution, it 
should generate a non-decreasing result, but what I got is:

any(diff(ppois(0:19,lambda=0.9))<0)
[1] TRUE

Actually,

ppois(19,lambda=0.9)<ppois(18,lambda=0.9)
[1] TRUE

Which could not be TRUE.
This is just another manifestation of

0.1 * 3 > 0.3
#> [1] TRUE

This discussion returns to this list from time to time. TLDR; this is
not an R issue, but an unavoidable floating point issue.
Well, here the request may be interpreted not as "do it without round error" which is indeed unavoidable but rather "please cope with rounding errors in a way that return consistent result for ppois()". You have indicated one way to do so (I have just added exp() in the row):

any(diff(exp(ppois(0:19, lambda=0.9, log.p=TRUE))) < 0)
#[1] FALSE

But may be there is another, more economic way?

Serguei.

  Solution:
work with log-probabilities instead.

any(diff(ppois(0:40, lambda=0.9, log.p=TRUE))<0)
#> [1] FALSE

Iñaki

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