# [R] Beyond double-precision?

joaks1 joaks1 at gmail.com
Sat May 9 09:13:13 CEST 2009

```Yes, all of the numbers are positive.  I actually have a Bayesian posterior
sample of log likelihoods [i.e. thousands of ln(likelihood) scores].  I want
to calculate the harmonic mean of these likelihoods, which means I need to
convert them back into likelihoods [i.e. e^ln(likelihood)], calculate the
harmonic mean, and then take the log of the mean.  I have done this before
in Mathematica, but I have a simulation pipeline written almost entirely in
R, so it would be nice if I could do these calculations in R.

If R cannot handle such small values, then perhaps there's a way to
calculate the harmonic mean from the log likelihood scores without
converting back to likelihoods?  I am a biologist, not a mathematician, so
any recommendations are welcome!  Thanks! -Jamie

spencerg wrote:
>
>       Are all your numbers positive?  If yes, have you considered using
> logarithms?
>
>       I would guess it is quite rare for people to compute likelihoods.
> Instead I think most people use log(likelihoods).  Most of the
> probability functions in R have an option of returning the logarithms.
>
>       Hope this helps.
>       Spencer
>
> joaks1 wrote:
>> I need to perform some calculations with some extremely small numbers
>> (i.e.
>> likelihood values on the order of 1.0E-16,000).  Even when using the
>> double() function, R is rounding these values to zero.  Is there any way
>> to
>> get R to deal with such small numbers?
>>
>> For example, I would like to be able to calculate e^-10000 (i.e.
>> exp(-10000)) without the result being rounded to zero.
>>
>> I know I can do it in Mathematica, but I would prefer to use R if I can.
>> Any help would be appreciated!
>>
>> Many Thanks in Advance!
>>
>
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