[R] How to set up a function for "Central Limit Theorem"

Peter Dalgaard p.dalgaard at biostat.ku.dk
Mon Mar 23 19:42:20 CET 2009

```pfc_ivan wrote:
> I tried using the for (i..) to make 1000 differents sets of numbers, but then
> I dont know how to get the mean value of all of them... because I dont even
> think 1000 different sets of numbers were made, because when i print it it
> always shows me the same values, basically I dont know how to replicate the
> funcion many times.

replicate() is your friend. Don't know why you get the same numbers
multiple times though.

>
>
> stephen sefick wrote:
>> homework?
>>
>> On Mon, Mar 23, 2009 at 1:30 PM, pfc_ivan <pfc_ivan at hotmail.com> wrote:
>>> Hello guys, I am stuck here:
>>>
>>> How do I make 1000 samples of n = 10 observations from an Exponential
>>> distribution and then compute the mean for all those 1000 samples?
>>>
>>> Basically I need to prove the Central Limit theorem, which states:
>>>
>>> http://www.nabble.com/file/p22664113/d175f06cbf200bd52a2c27a2e56dc594.png
>>>
>>> Where the Sn is sum of random variables, n we have from the question, mu
>>> is
>>> mean and (sigma)^2 is variance.
>>>
>>> I am having trouble setting up the function to do this.
>>>
>>> Any help apreciated!
>>>
>>> --
>>> View this message in context:
>>> http://www.nabble.com/How-to-set-up-a-function-for-%22Central-Limit-Theorem%22-tp22664113p22664113.html
>>> Sent from the R help mailing list archive at Nabble.com.
>>>
>>> ______________________________________________
>>> R-help at r-project.org mailing list
>>> https://stat.ethz.ch/mailman/listinfo/r-help
>>> http://www.R-project.org/posting-guide.html
>>> and provide commented, minimal, self-contained, reproducible code.
>>>
>>
>>
>> --
>> Stephen Sefick
>>
>> Let's not spend our time and resources thinking about things that are
>> so little or so large that all they really do for us is puff us up and
>> make us feel like gods.  We are mammals, and have not exhausted the
>> annoying little problems of being mammals.
>>
>> 								-K. Mullis
>>
>> ______________________________________________
>> R-help at r-project.org mailing list
>> https://stat.ethz.ch/mailman/listinfo/r-help
>> http://www.R-project.org/posting-guide.html
>> and provide commented, minimal, self-contained, reproducible code.
>>
>>
>

--
O__  ---- Peter Dalgaard             Øster Farimagsgade 5, Entr.B
c/ /'_ --- Dept. of Biostatistics     PO Box 2099, 1014 Cph. K
(*) \(*) -- University of Copenhagen   Denmark      Ph:  (+45) 35327918
~~~~~~~~~~ - (p.dalgaard at biostat.ku.dk)              FAX: (+45) 35327907

```