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A low-rank technique for computing the quasi-stationary distribution of subcritical Galton-Watson processes
[article]
2020
arXiv
pre-print
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We present a new algorithm for computing the quasi-stationary distribution of subcritical Galton--Watson branching processes. ...
This algorithm is based on a particular discretization of a well-known functional equation that characterizes the quasi-stationary distribution of these processes. ...
Quasi-stationary distributions of stochastic processes have been a focus of attention for many years. ...
arXiv:1901.10375v2
fatcat:hqgt5xdqtnezzesqxcfndjjoqa
Random self-similar trees: A mathematical theory of Horton laws
2020
Probability Surveys
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The Horton laws originated in hydrology with a 1945 paper by Robert E. Horton, and for a long time remained a purely empirical finding. ...
Attempts to build a mathematical foundation behind the Horton laws during the 1990s revealed their close connection to the operation of pruning -erasing a tree from the leaves down to the root. ...
We would like to thank Amir Dembo for providing valuable feedback, including the very idea of writing this survey; Jim Pitman for his comments and suggesting relevant publications; and Tom Kurtz for his ...
doi:10.1214/19-ps331
fatcat:yy333bgrlzcp7lvdtcqzttg5sq
Master Index Volumes 1-100
2002
Stochastic Processes and their Applications
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, Convergence of quasi-stationary distributions in birthdeath processes 18 (1984) 301 Keilson, J., Ramaswamy, R., The bivariate maximum process and quasi-stationary structure of birth-death processes 22 ...
Branching processes; Some convergence theorems for a supercritical Galton-Watson process 18 (1984) 188 Kotelenez, P., Continuity properties of Hilbert space valued martingales 17 (1984) 115 Kotelenez, ...
., A CLT for the periodograms of a r * -mixing random field 60 (1995) 313 Miller, D.R., A continuity theorem and some counterexamples for the theory of maintained systems 5 (1977) 307 Miller, D.R., Limit ...
doi:10.1016/s0304-4149(02)00154-0
fatcat:5zmghyapt5d5fp272vy3x63bbq
Fourteenth Conference on Stochastic Processes and their Applications
1985
Stochastic Processes and their Applications
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A typical example of stochastic differential equations is of the form dX, = a(X,) dB, + a(X,) dt, where {X,} is an R'-valued sample continuous process and {B,} is an Rd-valued Wiener process. ...
A simple coupling argument is used to construct a sequence of general stochastic epidemics, indexed by the initial number of susceptibles, from a time-homogeneous birth-and-death process. ...
The Influence Function and an Asymptotic Theory for Estimation in Markov Processes
H. Kiinsch, ETH-Zentrum, Ziirich, Switzerland ...
doi:10.1016/0304-4149(85)90039-0
fatcat:vzbbjicirzeobojxq3p3mo32sy
Some stochastic models for structured populations : scaling limits and long time behavior
[article]
2017
arXiv
pre-print
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In each case, we insist on the specific techniques for the proof of convergence and for the study of the limiting model. The limiting processes offer different models of mutation-selection dynamics. ...
In 1 particular, we finely study a process for parasite infection and the trait is the parasite load. ...
Scaling limits In this section, we obtain the CSBP as a scaling limit of Galton-Watson processes. ...
arXiv:1506.04165v2
fatcat:6rxfkixzdbd23n2fjtngytj6su
On Fitting Finite Dirichlet Mixture Using ECM and MML
[chapter]
2005
Lecture Notes in Computer Science
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Fluid queue models play a vital role in the performance analysis of computer and telecommunication networks. ...
The system is analysed for different active periods corresponding to the service time of an M/G/1 queue and the busy period of an M/G/1 queue. ...
In particular, the result provides a description of the scaling limit of the simple random walks associated with the family trees of Galton-Watson processes with a finite variance offspring distribution ...
doi:10.1007/11551188_19
fatcat:gtzi5u6emvfyxea3zbklobnvom
The method of quasilikelihood
[article]
2017
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They have being developed and studied for a long time, and they still play an important role in statistics. ...
The methods of " Maximum Likelihood " (ML) and " Least Squares" (LS) are two central methods in the theory of inference. ...
where a simple illustration of the methodology take the case where {Xt} is a subcritical Bienayme-Galton-Watson branching process with immigration and 9' = (m, A) is to be estimated on the basis of data ...
doi:10.25911/5d70f2f6ddc76
fatcat:en6fdxdzvrfqnbozkk5oq34pdu