Daniel Davis wrote:
Hi, guys,

I am trying to sample from a truncated normal/gamma distribution.
But only the far end of the distribution (where the probability is very low)
is left. e.g.

mu = - 4;
sigma = 0.1;
The distribution is Normal(mu,sigma^2) truncated on [0,+Inf];

How can I get a sample? I tried to use inverse CDF method, but got Inf as
answers. Please help me out.

You were on track, but you need more awareness of the cancellation issues. Two hints: Use logarithms and look at the correct tail. So:

T <- pnorm(0, -4, .1, lower=F, log=T)
z <- qnorm(T-rexp(1000), -4, .1, lower=F, log=T)
hist(z)

Also, pls help me on the similar situation on gamma dist'n.

Exercise for the reader....

--
  O__  ---- Peter Dalgaard             Ă˜ster Farimagsgade 5, Entr.B
 c/ /'_ --- Dept. of Biostatistics     PO Box 2099, 1014 Cph. K
(*) \(*) -- University of Copenhagen   Denmark      Ph:  (+45) 35327918
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