In this paper we consider the stochastic recurrence equation Yt = AtYt−1 + Bt for an i.i.d. sequence of pairs (At ,Bt ) of nonnegative random variables, where we assume that Bt is regularly varying… (More)

We use the properties of the Matuszewska indices to show asymptotic inequalities for hazard rates. We discuss the relation between membership in the classes of dominatedly or extended rapidly varying… (More)

In this paper, we consider some non-standard renewal risk models with some dependent claim sizes and stochastic return, where an insurance company is allowed to invest her/his wealth in financial… (More)

In this paper we consider the probabilities of niteand in nite-time absolute ruin in the renewal risk model with constant premium rate and constant force of interest. In the particular case of… (More)

In this paper we consider the probabilities of finiteand infinite-time absolute ruin in the renewal risk model with constant premium rate and constant force of interest. In the particular case of… (More)

Wireless Sensor Networks (WSNs) is a prevailing technology in assistive environments. Assistive environments may include both home and work spaces such as factories, military installations,… (More)