We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Statistical analysis and first-passage-time applications of a lognormal diffusion process with multi-sigmoidal logistic mean.
- Authors
Di Crescenzo, Antonio; Paraggio, Paola; Román-Román, Patricia; Torres-Ruiz, Francisco
- Abstract
We consider a lognormal diffusion process having a multisigmoidal logistic mean, useful to model the evolution of a population which reaches the maximum level of the growth after many stages. Referring to the problem of statistical inference, two procedures to find the maximum likelihood estimates of the unknown parameters are described. One is based on the resolution of the system of the critical points of the likelihood function, and the other is on the maximization of the likelihood function with the simulated annealing algorithm. A simulation study to validate the described strategies for finding the estimates is also presented, with a real application to epidemiological data. Special attention is also devoted to the first-passage-time problem of the considered diffusion process through a fixed boundary.
- Subjects
SIMULATED annealing; STATISTICS; INFERENTIAL statistics; MAXIMUM likelihood statistics; ASYMPTOTIC distribution; EXPECTATION-maximization algorithms
- Publication
Statistical Papers, 2023, Vol 64, Issue 5, p1391
- ISSN
0932-5026
- Publication type
Article
- DOI
10.1007/s00362-022-01349-1