Academic literature on the topic 'Multitype Galton-Watson process'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Multitype Galton-Watson process.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Multitype Galton-Watson process"

1

Sagitov, Serik, and Maria Conceição Serra. "Multitype Bienaymé–Galton–Watson processes escaping extinction." Advances in Applied Probability 41, no. 01 (2009): 225–46. http://dx.doi.org/10.1017/s0001867800003207.

Full text
Abstract:
In the framework of a multitype Bienaymé–Galton–Watson (BGW) process, the event that the daughter's type differs from the mother's type can be viewed as a mutation event. Assuming that mutations are rare, we study a situation where all types except one produce on average less than one offspring. We establish a neat asymptotic structure for the BGW process escaping extinction due to a sequence of mutations toward the supercritical type. Our asymptotic analysis is performed by letting mutation probabilities tend to 0. The limit process, conditional on escaping extinction, is another BGW process
APA, Harvard, Vancouver, ISO, and other styles
2

Sagitov, Serik, and Maria Conceição Serra. "Multitype Bienaymé–Galton–Watson processes escaping extinction." Advances in Applied Probability 41, no. 1 (2009): 225–46. http://dx.doi.org/10.1239/aap/1240319583.

Full text
Abstract:
In the framework of a multitype Bienaymé–Galton–Watson (BGW) process, the event that the daughter's type differs from the mother's type can be viewed as a mutation event. Assuming that mutations are rare, we study a situation where all types except one produce on average less than one offspring. We establish a neat asymptotic structure for the BGW process escaping extinction due to a sequence of mutations toward the supercritical type. Our asymptotic analysis is performed by letting mutation probabilities tend to 0. The limit process, conditional on escaping extinction, is another BGW process
APA, Harvard, Vancouver, ISO, and other styles
3

Biggins, J. D., and A. E. Kyprianou. "Measure change in multitype branching." Advances in Applied Probability 36, no. 02 (2004): 544–81. http://dx.doi.org/10.1017/s0001867800013604.

Full text
Abstract:
The Kesten-Stigum theorem for the one-type Galton-Watson process gives necessary and sufficient conditions for mean convergence of the martingale formed by the population size normed by its expectation. Here, the approach to this theorem pioneered by Lyons, Pemantle and Peres (1995) is extended to certain kinds of martingales defined for Galton-Watson processes with a general type space. Many examples satisfy stochastic domination conditions on the offspring distributions and suitable domination conditions combine nicely with general conditions for mean convergence to produce moment conditions
APA, Harvard, Vancouver, ISO, and other styles
4

Biggins, J. D., and A. E. Kyprianou. "Measure change in multitype branching." Advances in Applied Probability 36, no. 2 (2004): 544–81. http://dx.doi.org/10.1239/aap/1086957585.

Full text
Abstract:
The Kesten-Stigum theorem for the one-type Galton-Watson process gives necessary and sufficient conditions for mean convergence of the martingale formed by the population size normed by its expectation. Here, the approach to this theorem pioneered by Lyons, Pemantle and Peres (1995) is extended to certain kinds of martingales defined for Galton-Watson processes with a general type space. Many examples satisfy stochastic domination conditions on the offspring distributions and suitable domination conditions combine nicely with general conditions for mean convergence to produce moment conditions
APA, Harvard, Vancouver, ISO, and other styles
5

Spåtaru, Aurel. "A maximum sequence in a critical multitype branching process." Journal of Applied Probability 28, no. 4 (1991): 893–97. http://dx.doi.org/10.2307/3214692.

Full text
Abstract:
Let (Zn) be a p-type positively regular and non-singular critical Galton–Watson process with finite second moments. Associated with the spectral radius 1 of the mean matrix of (Zn) consider the right eigenvector u = (u1, · ··, up) > 0, and set . It is shown that lim inf, lim sup whenever Z0 = i, where .
APA, Harvard, Vancouver, ISO, and other styles
6

Spåtaru, Aurel. "A maximum sequence in a critical multitype branching process." Journal of Applied Probability 28, no. 04 (1991): 893–97. http://dx.doi.org/10.1017/s0021900200042807.

Full text
Abstract:
Let (Zn ) be a p-type positively regular and non-singular critical Galton–Watson process with finite second moments. Associated with the spectral radius 1 of the mean matrix of (Zn ) consider the right eigenvector u = (u 1, · ··, up ) > 0, and set . It is shown that lim inf, lim sup whenever Z 0 = i, where .
APA, Harvard, Vancouver, ISO, and other styles
7

Doku-Amponsah, Kwabena. "LOCAL LARGE DEVIATIONS: McMILLIAN THEOREM FOR MULTITYPE GALTON-WATSON PROCESS." Far East Journal of Mathematical Sciences (FJMS) 102, no. 10 (2017): 2307–19. http://dx.doi.org/10.17654/ms102102307.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Dyakonova, E. E. "On a multitype Galton-Watson process with state-dependent immigration." Journal of Mathematical Sciences 99, no. 3 (2000): 1244–49. http://dx.doi.org/10.1007/bf02674083.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Cerf, Raphaël, and Joseba Dalmau. "Galton–Watson and branching process representations of the normalized Perron–Frobenius eigenvector." ESAIM: Probability and Statistics 23 (2019): 797–802. http://dx.doi.org/10.1051/ps/2019007.

Full text
Abstract:
Let A be a primitive matrix and let λ be its Perron–Frobenius eigenvalue. We give formulas expressing the associated normalized Perron–Frobenius eigenvector as a simple functional of a multitype Galton–Watson process whose mean matrix is A, as well as of a multitype branching process with mean matrix e(A−I)t. These formulas are generalizations of the classical formula for the invariant probability measure of a Markov chain.
APA, Harvard, Vancouver, ISO, and other styles
10

Prehn, Uwe, and Ines Langer. "The Expected Source Time of a Subcritical Multitype Galton-Watson Process." Mathematische Nachrichten 138, no. 1 (1988): 83–92. http://dx.doi.org/10.1002/mana.19881380106.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Multitype Galton-Watson process"

1

Barboriková, Jana. "Kryptoanalýza šifer používaných v GSM telefonech." Master's thesis, 2012. http://www.nusl.cz/ntk/nusl-304747.

Full text
Abstract:
The aim of this thesis is to introduce the family of A5 algorithm which is used in data encryption and decryption in GSM phones. It is focused on real time cryptanalysis of the stream cipher A5/1. It describes in detail the known plaintext attack published by A. Biryukov, A. Shamir and D. Wagner. Both the attack and the cipher are implemented. The implementation proves that the preprocessing stage of the attack is very time consuming, but the actual attack can be carried out in real time on a single PC. Then the problem of finding a good statistical model for the process of generating tree of
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Multitype Galton-Watson process"

1

Joffe, A., and W. A. O’N Waugh. "Exact distribution of kin number in multitype Galton-Watson process." In Semi-Markov Models. Springer US, 1986. http://dx.doi.org/10.1007/978-1-4899-0574-1_22.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

"LIMIT THEOREM FOR SOME STATISTICS OP MULTITYPE GALTON-WATSON PROCESS." In Mathematical Statistics Theory and Applications. De Gruyter, 1987. http://dx.doi.org/10.1515/9783112319086-102.

Full text
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!