Randomized near-neighbor graphs, giant components and applications in data science [0.03%]
随机近邻图，巨组件和数据科学中的应用
George C Linderman,Gal Mishne,Ariel Jaffe et al.
George C Linderman et al.
If we pick n random points uniformly in [0, 1] d and connect each point to its c d log n-nearest neighbors, where d ≥ 2 is the dimension and c d is a constant depending on the dimension, then it is well known that the graph is connected wi...
Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration [0.03%]
非齐次泊松移民的亚临界Sevastyanov分支过程
Ollivier Hyrien,Kosto V Mitov,Nikolay M Yanev
Ollivier Hyrien
We consider a class of Sevastyanov branching processes with non-homogeneous Poisson immigration. These processes relax the assumption required by the Bellman-Harris process which imposes the lifespan and offspring of each individual to be i...
J D Biggins,T Gotz
J D Biggins
"A Malthusian parameter for the generation-dependent general branching process is introduced and some asymptotics of the expected population size, counted by a general non-negative characteristic, are discussed. Processes both with and with...
A I Zeifman
A I Zeifman
"Let X(t) be a non-homogeneous birth and death process. In this paper we develop a general method of estimating bounds for the state probabilities for X(t), based on inequalities for the solutions of the forward Kolmogorov equations." ...
R Cogburn,W C Torrez
R Cogburn
"A generalization to continuous time is given for a discrete-time model of a birth and death process in a random environment. Some important properties of this process in the continuous-time setting are stated and proved including instabili...
Extinction probability, regularity and asymptotic growth of Markovian populations [0.03%]
马尔可夫种群的灭绝概率、规律性和渐近增长性
N Lenz
N Lenz
"The distribution of the maximum and the extinction probability for a Markovian population is derived. Asymptotic growth is described, using the sequence of sojourn times. A regularity criterion for the processes under consideration exists ...
A stochastic population projection system based on general age-dependent branching processes [0.03%]
一种基于一般的年龄依赖分支过程的随机人口预测系统
C J Mode,M E Jacobson,G T Pickens
C J Mode
"Algorithms for a stochastic population process, based on assumptions underlying general age-dependent branching processes in discrete time with time inhomogeneous laws of evolution, are developed through the use of a new representation of ...
K Lange,W Holmes
K Lange