branching process

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branching process

[′branch·iŋ ′präs·əs]

(statistics)

A stochastic process in which the members of a population may have offspring and the lines of descent branch out as the new members are born.

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For each simplex S [subset or equal to] [S.sup.0] created by the branching process, this process gives a lower bound LB(S) for the optimal value v(S) of the following problem LMP(S),

A simplicial branch and bound duality-bounds algorithm to linear multiplicative programming

Let Z(n) = ([Z.sub.1](n), ..., [Z.sub.p](n)), n = 0, 1, ..., be a p-type Galton-Watson branching process in a random environment.

On subcritical multi-type branching process in random environment

Hence, there is inherent stochasticity caused by the finiteness of the number of lineages in applying the method, even if the branching and extinction events exactly follow the branching process model that leads to equation (5).

Inferring the rates of branching and extinction from molecular phylogenies

The first- and last-birth problems for a multitype age-dependent branching process. Advances in Appl.

A note on the transience of critical branching random walks on the line

This model can be understood from the discrete time binary Galton-Watson branching process.

The size of random fragmentation intervals

Since, this decision tree technique is not efficacious and suffers from overfitting, a problem which gives distorted results from the training data at the latter stages of the branching process, the researchers moved on to random-forest technique that instead of calculating the outcome at every branch, calculates the outcome of random branches.

FIFA World Cup: Machine learning predicts two possible winners

In this section, we also compute the stochastic threshold for disease extinction or invasion by applying the multitype Galton-Watson branching process. In Section 4, we show the relationship between reproductive number of the deterministic model and the thresholds for disease extinction of the stochastic version; we also illustrate our results using numerical simulations.

A Stochastic Model for Malaria Transmission Dynamics

The Markov branching process (MBP) is the discrete-state Markov process ([Z.sub.t] : t [greater than or equal to] 0) on the state-space S = {0,1, ...} whose transition function F(t) = [[f.sub.ij](t)] is standard and satisfies the branching property,

Convergence Rates and Limit Theorems for the Dual Markov Branching Process

Figure 10 shows the number of partial sets identified during the branching process normalized by the number of full sets in the entire system, with respect to the sum of the probabilities of the branches that reach a certain value.

Computer-Aided Analysis of Flow in Water Pipe Networks after a Seismic Event

The quasistationary limit of this process is the Yaglom limit of its associated branching process [39, 40] and is exactly geometric.

Hamiltonian Analysis of Subcritical Stochastic Epidemic Dynamics

In our study, we use a branching process model to estimate the probability distribution of outbreak sizes resulting from the introduction of an Ebola case to a new country where the reproductive number R (i.e., expected number of transmissions per case) would likely be quickly, if not immediately, reduced to <1.

Estimates of outbreak risk from new introductions of Ebola with immediate and delayed transmission control

The branching process improves by using of polyfunctional monomer [19, 21, 22] and the materials known as iniferters such as Thiuram disulfides [23-25] and dithiocarbamates [26].

Effect of electron beam irradiation dose on the rheology, morphology, and thermal properties of branched polypropylene/polybutene-1 blend