We consider a birth-death process whose birth and death rates are suggested by a chain sequence. We use an elegant transformation to find the transition probabilities in a simple closed form. We also find an explicit expression for time-dependent mean. We find parallel results in discrete time...
The dynamics of a population exhibiting exponential growth can be modelled as a birth–death process, which naturally captures the stochastic variation in population size over time. In this article, we consider a supercritical birth–death process, started at a random time in the past, and conditi...
Methods of Hilbert space theory together with the theory of analytic semigroups lead to an alternative approach for discussing an analytic birth and death process with the backward equations ⋗k = λk − 1gk − 1 − (μk+λk)gk+μk+1, k = 0, 1, 2, …, where λ− 1 =...
receives and releases fluid flows at variable rates such that the net input rate of fluid is uniquely determined by the state of a birth-death process... A E.,van,Doom,... - 《Communications in Statistics Stochastic Models》 被引量: 405发表: 1988年 Clinical outcomes in children with sickl...
The inclusion process of the study population in our study is detailed in the Methods section and Fig. 1. Among 1805 eligible low-risk PTMC patients enrolled in the first questionnaire survey, 1432 patients completed the questionnaires (response rate: 79.3%). Among these responders, 1316 (91.9%...
The birth, death and resurrection of avoidance: a reconceptualization of a troubled paradigm 16 February 2023 Introduction Avoidance is a natural and adaptive response to danger. Animals, including humans, cannot survive without the ability to avoid harm. Nevertheless, avoidance can have detrimental ...
Birth and Death in a Con- tinuous Opinion Dynamics Model:the Consensus Case[ J] . Phys- ics,2008(1)Carletti, T., Fanelli, D., Guarino, A., Bagnoli, F. and Guazzini, A., Birth and death in a continuous opinion dynamics model -- the consensus case, EPJB 64 (2008) 285....
The statistics emerging from the neutral birth-death-mutation (BDM) process is shown to fit marvelously many empirical distributions. While previous neutral theories have focused on the power-law tail, our theory economically and accurately explains the entire distribution. We thus suggest the BDM ...
A model of a birth and death chain $(Z_n)$ controlled by a random environment $(Y_n)$ is formulated wherein the bivariate process $(Y_n, Z_n)$ is taken to be Markovian and the marginal process $(Z_n)$ is a birth and death chain on the nonnegative integers with absorbing ...
In this paper, we investigate on a class of time-inhomogeneous birth-death chains obtained by applying the composition method to two time-inhomogeneous double-ended chains. Then, we consider the corresponding restricted birth-death process, with zero reflecting boundary. Finally, starting from the ...