Beta stochastic simulation
On 9/15/2006 7:51 AM, Mark Pinkerton wrote:
I have just installed 2.4.0 alpha and the problem persists. Here is the output of the run:
Thanks. I'll try your script and see if I can track down what's going on. Duncan Murdoch
# Summary stats summary(totals.losses1)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0 0 1284 1617000 685100 219200000
mean(totals.losses1)
[1] 1617219
sd(totals.losses1)/sqrt(length(totals.losses1))
[1] 78863.17
summary(totals.losses2)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0 0 1422 2417000 819200 118200000
mean(totals.losses2)
[1] 2417471
sd(totals.losses2)/sqrt(length(totals.losses2))
[1] 134866.0 Thanks, Mark Mark Pinkerton Risk Management Solutions Peninsular House 30 Monument Street London EC3R 8HB UK www.RMS.com Tel: +44 20 7444 7783 Fax: +44 20 7444 7601 -----Original Message----- From: Duncan Murdoch [mailto:murdoch at stats.uwo.ca] Sent: 15 September 2006 12:15 To: Mark Pinkerton Cc: r-help at stat.math.ethz.ch Subject: Re: [R] Beta stochastic simulation On 9/15/2006 6:43 AM, Mark Pinkerton wrote:
Hi Duncan, Thanks for having a look at this. Find attached a zip with all the relevant files to run the simulation. I am running this on Windows XP,
R version 2.3.1.
Does the error still occur in a recent alpha build? It's downloadable from CRAN, in cran.r-project.org/bin/windows/base/rtest.html (though I notice the version there is a week old; I'd better kick the build script). Duncan Murdoch '
The correct result for the average annual loss, calculated using a battle tested FFT engine, is 1,609,361 The summary stats from my last run are below:
# Summary stats summary(totals.losses1)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0 0 1142 1620000 698000 132500000
mean(totals.losses1)
[1] 1619891
sd(totals.losses1)/sqrt(length(totals.losses1))
[1] 77949.25
summary(totals.losses2)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0 0 2352 2341000 749700 141700000
mean(totals.losses2)
[1] 2341237
sd(totals.losses2)/sqrt(length(totals.losses2))
[1] 129695.9 Thanks, Mark Mark Pinkerton Risk Management Solutions Peninsular House 30 Monument Street London EC3R 8HB UK www.RMS.com Tel: +44 20 7444 7783 Fax: +44 20 7444 7601 -----Original Message----- From: Duncan Murdoch [mailto:murdoch at stats.uwo.ca] Sent: 15 September 2006 00:45 To: Mark Pinkerton Cc: r-help at stat.math.ethz.ch Subject: Re: [R] Beta stochastic simulation On 9/14/2006 5:26 PM, Mark Pinkerton wrote:
Hi Duncan, I had also validated the logic with a simple test which is why I was
surprised by the differences I was seeing from tthe more complex simulation. I am running R on a Windows 2000 - I'll have to check which version at my desk tomorrow but it's pretty up to date, maybe 6 monthes old. Attached is a code snippet from my simulation program which is used to estimate multi-event annual losses for US hurricanes.
The event set being sampled from is quite large (~14000) with each event and account combination having a unique beta loss distribution. Simply swapping lines 23 and 24 has the effect on results that I mentioned in the previous email. The simulation is large enough that the MC error in the estimated means are negligible. The code you sent isn't usable, because it's missing your data. Could
you please do the following? - verify that the behaviour still happens in the current alpha test version - try to simplify the example code so someone else can run it? It could be that certain values of alpha and beta trigger a bug but the ones I tried were fine. Duncan Murdoch This message and any attachments contain information that may be RMS
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