It is well known that the set of non-negative integers is the state-space of usual branching stochastic processes. However in many applications one may have situations when it is difficult to count the number of individuals in the population, but some non-negative characteristic, such as volume,...

Nawata [8–10] proposed a new estimator for the standard regression, censored regression, and binary choice models, based on grouping of observations. This paper shows that Nawata's grouping method can be generalised to various types of estimation problems and represents a new class of...

The female labor supply models have been widely used in labor economics. The models are usually estimated by Heckman’s two-step estimator. However, Heckman’s two-step estimator often performs poorly. This paper considers an estimation of the models by the maximum likelihood method. An...

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification...

We present results of a numerical simulation of the thermal convection in the subsurface mushy ice layer of Europa, one of the Jupiter’s moons. Beside fluid dynamics and heat transfer within such a layer, heat conduction in the solid crustal surface and heat exchange between the two phases –...

In this paper we propose a numerical method for the simulation of acoustic fields, in presence of an obstacle in the physical domain, by finite difference solution of a two-dimensional differential model on boundary-fitted grids. The computational process gathers the elliptic grid generation,...

Proper orthogonal decomposition (POD) method has been successfully used in the reduced-order modeling of complex systems. In this paper, we extend the applications of POD method, i.e., combine the classical finite volume element (FVE) method with the POD method to obtain a reduced-order FVE...

This paper investigates a viral infection model with periodic immune response and nonlinear cytotoxic T lymphocyte (CTL) response. Using the periodic rhythms of human immune system, the model can avoid the unreasonable equilibrium in the basic viral model with nonlinear CTL response introduced...

The in vivo variable fluorescence of chlorophyll a is used as a non-intrusive probe of the physiological state of intact leaves. It was established that the origin of this signal is the antenna system of photosystem II (PSII). The PSII population is heterogeneous with respect to antenna size,...

This study is concerned with three-dimensional transition in plane wakes and jets. Nonlinear stability theory has predicted that interactions between different instability modes can play an important role in that transition. In this paper, we consider interactions between varicose and sinuous...