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2008 Jun 05
1
Limit distribution of continuous-time Markov process
I have (below) an attempt at an R script to find the limit distribution
of
a continuous-time Markov process, using the formulae outlined at
http://www.uwm.edu/~ziyu/ctc.pdf, page 5.
First, is there a better exposition of a practical algorithm for doing
this? I have not found an R package that does this specifically, nor
anything on the web.
Second, the script below will give the right
2010 Dec 02
4
Integral of PDF
The integral of any probability density from -Inf to Inf should equal 1, correct? I don't understand last result below.
> integrate(function(x) dnorm(x, 0,1), -Inf, Inf)
1 with absolute error < 9.4e-05
> integrate(function(x) dnorm(x, 100,10), -Inf, Inf)
1 with absolute error < 0.00012
> integrate(function(x) dnorm(x, 500,50), -Inf, Inf)
8.410947e-11 with absolute error <