Mathematics – Statistics Theory
Scientific paper
2008-12-26
Mathematics
Statistics Theory
This is now exactly as per the version of the article published in Little et al. (PLoS ONE 2010 5 (1)e8915)
Scientific paper
In this paper we outline general considerations on parameter identifiability, and introduce the notion of weak local identifiability and gradient weak local identifiability. These are based on local properties of the likelihood, in particular the rank of the Hessian matrix. We relate these to the notions of parameter identifiability and redundancy previously introduced by Rothenberg (Econometrica 39 (1971) 577-591) and Catchpole and Morgan (Biometrika 84 (1997) 187-196). Within the exponential family parameter irredundancy, local identifiability, gradient weak local identifiability and weak local identifiability are shown to be equivalent. We consider applications to a recently developed class of cancer models of Little and Wright (Math Biosciences 183 (2003) 111-134) and Little et al. (J Theoret Biol 254 (2008) 229-238) that generalize a large number of other recently used quasi-biological cancer models, in particular those of Armitage and Doll (Br J Cancer 8 (1954) 1-12) and the two-mutation model (Moolgavkar and Venzon Math Biosciences 47 (1979) 55-77).
Heidenreich Wolfgang F.
Li Guangquan
Little Mark P.
No associations
LandOfFree
Parameter identifiability and redundancy: theoretical considerations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Parameter identifiability and redundancy: theoretical considerations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parameter identifiability and redundancy: theoretical considerations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295571