On L2-convergence of controlled branching processes with random control function

Asymptotic Behaviour of Critical Controlled Branching Processes with Random Control Functions

In this paper, we investigate the asymptotic behaviour of controlled branching processes with random control functions. In a critical case, we establish sufficient conditions for both their almost-sure extinction and for their nonextinction with a positive probability. For some suitably chosen norming constants, we also determine different kinds of limiting behaviour for this class of processes.

Nonparametric Inference for Controlled Branching Processes with Deterministic Function

Controlled branching processes are stochastic growth population models in which the number of individuals with reproductive capacity in each generation is controlled by a deterministic function. The behaviour of these populations is strongly related to the main parameters of the offspring distribution. In practice these values are unknown and their estimation is necessary. Usually it must be ob...

Branching Processes with Deteriorating Random Environments

In this paper, a BPRE (branching process in random environments) is presented, in which a population development in deteriorating environments is described. Some primary results on process growth and extinction probability are shown. At last, two simple numerical examples that attempt to simulate the probability model are given to help understand its mathematical framework.

Branching Processes and Random Walks

effect of oral presentation on development of l2 learners grammar

this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...