Mortality improvements that have recently become apparent in most developing countries significantly shaped queries on forecast divergent between populations recent years. Therefore, to ensure a more coherent way of forecasting, previous researchers proposed multi-population mortality model the form independent estimation procedures. However, similar single-population model, such approaches mig...

Sequential Baysian filtering arises in many practical problems. The complexity of this problem depends very much on the underlying mathematical model. When a linear Gaussian model is assumed, the well known Kalman filter provides the desired optimal solution. However, in many situations these assumptions do not hold, even approximately. We consider here a somewhat simplified version of the gene...

In a first order autoregressive model with drift, we derive the likelihood ratio test for a unit root against the stationary alternative. We also derive the test in a state space model with trend. Finite sample and asymptotic critical values are obtained by Monte Carlo simulations. A simulation study investigates the power performance of the likelihood ratio test and we also examine how a bias ...

Model checking has long been used as a means of verification of formal specifications. This is a verification technique of dynamic systems that explores all possible states of the system. It determines whether the given system satisfies its specification. This technique suffers from the state explosion problem when traversing all possible states of systems. Parallel and/or distributed approache...

When model checking concurrent software applications, symmetry reduction techniques narrow dramatically the size of the state space search by identifying computations that, because of symmetries in the system, are redundant. While state-exploration algorithms exploiting symmetry reduction are well developed, little has been done in discovering the nature of the symmetries of a system. What is e...

We formalise a continuous-time Markov chain with multidimensional discrete state space model of the AKAP scaffold protein as a crosstalk mediator between two biochemical signalling pathways. The analysis by temporal properties of the AKAP model requires reasoning about whether the counts of individuals of the same type (species) are increasing or decreasing. For this purpose we propose the conc...

Model checking is an automatic verification technique to verify hardware and software systems. However it suffers from state-space explosion problem. In this paper we address this problem in the context of cryptographic protocols by proposing a security property-dependent heuristic. The heuristic weights the state space by exploiting the security formulae; the weights may then be used to explor...