P(z>2 | mean=0, sd=1) = .000031 (about 3 in 100,000).
Thus it is quite unlikely that the extremes in a sample of 10,000 will approach or exceed +/- 2. So, your truncation points are not shifted; rather, they are so extreme as to be seldom reached (thus the _apparent_ truncation points will be well within +/- 2).
-----------------------------------
Thomas J. Steichen
[email protected]
-----------------------------------
-----Original Message-----
From: [email protected] [mailto:[email protected]] On Behalf Of Alexander Kalb
Sent: Monday, September 22, 2008 9:18 AM
To: [email protected]
Subject: st: iid draw from a truncated normal distribution
I would like to create an iid draw form a truncated normal distribution
(on the left and right side) with standard deviation 0.5 (in the
untruncated case). I tried the following commands:
set obs 10000
gen c = -2 /*left truncation point*/
gen d = 2 /*right truncation point*/
gen stdv = 0.5 /*standard deviation*/
gen v = uniform()
gen c_bar = c/stdv
gen d_bar = d/stdv
gen v_bar = (normal(c_bar) + (normal(d_bar) - normal(c_bar))*v)
gen u = stdv*invnorm(v_bar)
This seems to work but it shifts the truncation points below 2 and
above -2. Has anybody an idea how I can get an iid draw (with standard
deviaton of 0.5 in the untruncated case) which does not shift the
truncation points?
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Centre for European Economic Research
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