Asymptotic Behaviour of Extinction Probability of Interacting Branching Collision Processes

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Asymptotic Behavior of Branching Populations before Extinction

where Xn denotes the number of offspring in the nth generation for a population starting from K offsprings, X0 = K, and throughout the paper the initial size of population K is assumed to be a large value. Such a type of branching process can be a model of real population of animals, insects etc., and the main results of our study can have applications to analysis of real populations arising in...

متن کامل

Extinction times in Multitype Markov Branching Processes

In this paper, a distributional approximation to the time to extinction in a subcritical continuous-time Markov branching process is derived. A limit theorem for this distribution is established and the error in the approximation is quantified. The accuracy of the approximation is illustrated in an epidemiological example. Since Markov branching processes serve as approximations to nonlinear ep...

متن کامل

Asymptotic Behavior of a Branching Population before Extinction

where Xn denotes the number of offspring in the nth generation, X0 = K, and throughout the paper the initial size of populationK is assumed to be a large value. Such a type of branching process can be a model of real population of animals, insects etc., and the main results of our study can have immediate application to analysis of real populations arising in biology (e.g. Jagers [2], Haccou, J...

متن کامل

On the Extinction Probability for Bisexual Branching Processes in Varying Environments

In this paper, the bisexual branching process in varying environments introduced in [9] is considered and some sufficient conditions for the existence of positive probability of non-extinction are established.

متن کامل

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.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Applied Probability

سال: 2014

ISSN: 0021-9002,1475-6072

DOI: 10.1239/jap/1395771425