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We study a general perturbed risk process with cumulative claims modelled by a subordinator with finite expectation, and the perturbation being a spectrally negative Lévy process with zero… (More)

Let C1, C2, . . . , Cm be independent subordinators with finite expectations and denote their sum by C. Consider the classical risk process X(t) = x+ct−C(t). The ruin probability is given by the well… (More)

- Dinko Mitrečić, Miljenko Huzak, Marija Ćurlin, Srećko Gajović
- Journal of biochemical and biophysical methods
- 2005

Precise characterization of transgene insertion is necessary for phenotype interpretation of transgenic animals. To check for the presence of deletions, estimate the number of inserted transgene… (More)

- Željko Bajzer, Miljenko Huzak, Kevin L. Neff, Franklyn G. Prendergast
- Mathematical biosciences
- 2008

Two models that have been proposed in the literature for description of kinetics in intracellular environments characterized by macromolecular crowding and inhomogeneities, are mathematically… (More)

Structural and functional analysis of telomeres is very important for understanding basic biological functions such as genome stability, cell growth control, senescence and aging. Recently, serious… (More)

Parameter estimation problems of diffusion models are discussed. The problems of maximum likelihood estimation and model selections from continuous observations are illustrated through diffusion… (More)

A short review of diffusion parameter estimations methods from discrete observations is presented. The applicability of a new estimation method on inferences about a diffusion growth model is… (More)

In this paper a version of the general theorem on approximate maximum likelihood estimation is proved. We assume that there exists a log-likelihood function L(θ) and a sequence (Ln(θ)) of its… (More)

- Ivica Rubelj, Miljenko Huzak, Branko Brdar, Olivia M. Pereira-Smith
- Biogerontology
- 2002

Normal human cells have a finite proliferative potential in vitro. However, some DNA viral proteins, such as SV40 Tg, can alter this and extend the lifespan after which the cells enter crisis, a… (More)

- Snježana Lubura Strunjak, Miljenko Huzak, Matija Huzak
- 2017

We assume that the diffusion X satisfies a stochastic differential equation of the form: dXt = μ(Xt, θ)dt + σ0ν(Xt)dWt, with unknown drift parameter θ and known diffusion coefficient parameter σ0. We… (More)