Re: a question about Hazard Rate - HazardRate.nb (1/1)
- To: mathgroup at smc.vnet.net
- Subject: [mg39990] Re: a question about Hazard Rate - HazardRate.nb (1/1)
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Fri, 14 Mar 2003 04:45:17 -0500 (EST)
- Organization: The University of Western Australia
- References: <b4pg49$c0a$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <b4pg49$c0a$1 at smc.vnet.net>, "Michael \(Xiaoquan\) Zhang" <zxq at nullvoid.mit.edu> wrote: > I was working on a theoretical model about valuation distribution. > Assuming a Gamma distribution (or any other right skewed pdf). > > I finally got a equation to solve for p: > > 1=p*f(p)/[1-F(p)] > > where f(.|alpha, beta) is the pdf of the Gamma distribution, and F(.) is the > CDF. > alpha and beta are shape and scale parameters for Gamma. > > I don't have to derive a closed form for p, but I need some properties of p > satisfying the equation. > > Especially, I need the connection between this p and the solution, q, of > another equation with g and G substituting f and F. After re-scaling one can eliminate beta. The roots of your equation are, to a very good approximation, linear in alpha. See the attached Notebook for more detail. [Contact Paul directly to get the notebook -moderator] Cheers, Paul -- Paul Abbott Phone: +61 8 9380 2734 School of Physics, M013 Fax: +61 8 9380 1014 The University of Western Australia (CRICOS Provider No 00126G) 35 Stirling Highway Crawley WA 6009 mailto:paul at physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul