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Re: st: calculate maximum density of normal distribuion
From
Maarten Buis <[email protected]>
To
[email protected]
Subject
Re: st: calculate maximum density of normal distribuion
Date
Fri, 22 Nov 2013 16:29:31 +0100
The mean won't do anything for the maximum, but the maximum is a
function of the standard deviation. It has to be otherwise the it
would not integrate to 1. So -normalden(0,$sd2)- will give you the
maximum.
-- Maarten
On Fri, Nov 22, 2013 at 4:23 PM, Nick Bornschein
<[email protected]> wrote:
> Well, no.
>
> The maximum density of a normal distribution of mean = 1 and sd = 2 is
> around 0.2 (looking at the graph) and with mean = 5 and sd = 3 it's around
> 1.125...so it's not always the same when I change the given mean and sd.
>
>
> Am 22.11.13 16:12, schrieb Nick Cox:
>>
>> That density is a constant, namely
>>
>> . di normalden(0)
>> .39894228
>>
>> Whatever mean a normal has just shifts the distribution left or right,
>> so makes no difference to what the peak density is; hence without loss
>> of generality we can focus on mean 0.
>>
>> Whatever SD a normal has, 0/SD is still 0.
>>
>> Correct me if I'm wrong....
>> Nick
>> [email protected]
>>
>>
>> On 22 November 2013 15:00, Nick Bornschein <[email protected]>
>> wrote:
>>>
>>> Hello,
>>>
>>> I'm calculating a normal distribution with:
>>>
>>> set obs 10000
>>> set seed 2211
>>> gen normal2 = rnormal($mean2, $sd2)
>>>
>>> by given mean and sd which I define via global macro.
>>>
>>> Is it possible to calculate the maximum density at the mean point?
>>> And more interesting: is it possible to define "xline" until a given
>>> point
>>> at the y axis (the maximum density as you can imagine) because I want to
>>> add
>>> the mean line with going higher than the maximum density?
>>>
>>> Best
>>> -Nick
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>>
>> *
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> *
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--
---------------------------------
Maarten L. Buis
WZB
Reichpietschufer 50
10785 Berlin
Germany
http://www.maartenbuis.nl
---------------------------------
*
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