Abstract In this paper, we model the insurance company’s surplus by a compound Poisson risk model, where process can only be observed at random observation times. It is assumed that insurer observes its level periodically to decide on dividend payments and capital injection interobservation time having an $\operatorname{Erlang}(n)$ <mml:...

Abstract Objective To verify if the loss of masticatory function increases risk frailty in community-dwelling older people state São Paulo. Methods A prospective cohort design was adopted based on FIBRA study database (Fragility Brazilian Elderly), with a baseline performed 2008-2009 and follow-up 2016-2018, elapsed average 100.2 ± 9.2 months. The outcome variable incidence frailty. exposure ac...

Distributions of the first-exit times from a region with non-linear upper boundary are discussed for ordinary and compound Poisson processes. Explicit formulae are developed for the case of ordinary Poisson processes. Recursive formulae are given for the compound Poisson case, where the jumps are positive, having continuous distributions with finite means. Applications to sequential point estim...

Large wildland fires are major disturbances that strongly influence the carbon cycling and vegetation dynamics of Canadian boreal ecosystems. Although large wildland fires have recently received much scrutiny in scientific study, it is still a challenge for researchers to predict large fire frequency and burned area. Here, we use monthly climate and elevation data to quantify the frequency of l...