[R] A vector of normal distributed values with a sum-to-zero constraint

Jeff Newmiller jdnewmil at dcn.davis.CA.us
Tue Apr 1 15:27:03 CEST 2014


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Sent from my phone. Please excuse my brevity.

On April 1, 2014 5:56:24 AM PDT, "Marc Marí Dell'Olmo" <marceivissa at gmail.com> wrote:
>Dear all,
>
>Anyone knows how to generate a vector of Normal distributed values
>(for example N(0,0.5)), but with a sum-to-zero constraint??
>
>The sum would be exactly zero, without decimals.
>
>I made some attempts:
>
>> l <- 1000000
>> aux <- rnorm(l,0,0.5)
>> s <- sum(aux)/l
>> aux2 <- aux-s
>> sum(aux2)
>[1] -0.000000000006131392
>>
>> aux[1]<- -sum(aux[2:l])
>> sum(aux)
>[1] -0.00000000000003530422
>
>
>but the sum is not exactly zero and not all parameters are N(0,0.5)
>distributed...
>
>Perhaps is obvious but I can't find the way to do it..
>
>Thank you very much!
>
>Marc
>
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