Found 134 Documents (Results 1–100)
Speed of extinction for continuous state branching processes in subcritical Lévy environments: the strongly and intermediate regimes. (English) Zbl 1542.60052
Quenched weighted moments for a branching process with immigration in a random environment. (English) Zbl 1537.60115
Extinction behavior and recurrence of \(n\)-type Markov branching-immigration processes. (English) Zbl 1541.60072
Reviewer: Heinrich Hering (Rockenberg)
Wasserstein-type distances of two-type continuous-state branching processes in Lévy random environments. (English) Zbl 1529.60053
Reviewer: Victor V. Goryainov (Moskva)
Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment. (English) Zbl 1521.60052
Reviewer: Peter Kern (Düsseldorf)
Asymptotic behaviour of critical decomposable 2-type Galton-Watson processes with immigration. (English) Zbl 1514.60096
Moments and asymptotic properties for supercritical branching processes with immigration in random environments. (English) Zbl 1507.60108
A fluctuation limit theorem of branching processes with immigration and statistical applications. (English) Zbl 1513.60105
Central limit theorem and convergence rates for a supercritical branching process with immigration in a random environment. (English) Zbl 1513.60126
Moments and large deviations for supercritical branching processes with immigration in random environments. (English) Zbl 1513.60125
Convergence of partial sum processes to stable processes with application for aggregation of branching processes. (English) Zbl 1505.60043
Reviewer: Heinrich Hering (Rockenberg)
Moderate deviations for the total population arising from a nearly unstable sub-critical Galton-Watson process with immigration. (English) Zbl 07532131
Homogeneous branching processes with non-homogeneous immigration. (English) Zbl 1494.60087
Reviewer: Krzysztof Bartoszek (Linköping)
Limit theorems for a strongly supercritical branching process with immigration in random environment. (English) Zbl 1494.60085
Reviewer: Krzysztof Bartoszek (Linköping)
A note on asymptotic behavior of critical Galton-Watson processes with immigration. (English) Zbl 1483.60123
Multitype branching process with non-homogeneous Poisson and contagious Poisson immigration. (English) Zbl 1478.60237
Reviewer: Weiping Li (Guanghan)
Moments of the stationary distribution of subcritical multitype Galton-Watson processes with immigration. (English) Zbl 1518.60080
Reviewer: Victor V. Goryainov (Moskva)
Statistical inference of subcritical strongly stationary Galton-Watson processes with regularly varying immigration. (English) Zbl 1475.60162
On the boundary behavior of multi-type continuous-state branching processes with immigration. (English) Zbl 1477.60063
On aggregation of subcritical Galton-Watson branching processes with regularly varying immigration. (English) Zbl 1473.60121
Reviewer: Matthias Meiners (Gießen)
On new mechanisms leading to heavy-tailed distributions related to the ones of Yule-Simon. (English) Zbl 1457.60023
Crossing a fitness valley as a metastable transition in a stochastic population model. (English) Zbl 1433.92033
Regularly varying nonstationary second-order Galton-Watson processes with immigration. (English) Zbl 1503.60118
Reviewer: Heinrich Hering (Rockenberg)
Two-boundary problem for a random walk in a random environment. (English. Russian original) Zbl 1442.60107
Theory Probab. Appl. 63, No. 3, 339-350 (2019); translation from Teor. Veroyatn. Primen. 63, No. 3, 417-430 (2018).
Large and moderate deviations for the total population arising from a sub-critical Galton-Watson process with immigration. (English) Zbl 1392.60071
Reviewer: Sebastian Mentemeier (Kassel)
Functional limit theorems for Galton-Watson processes with very active immigration. (English) Zbl 1375.60075
Limit theorems for a supercritical branching process with immigration in a random environment. (English) Zbl 1390.60315
The effect of recurrent mutations on genetic diversity in a large population of varying size. (English) Zbl 1373.92087
Asymptotics of random processes with immigration. I: Scaling limits. (English) Zbl 1386.60122
Reviewer: Nikolai N. Leonenko (Cardiff)
Continuous state branching processes in random environment: the Brownian case. (English) Zbl 1355.60049
Asymptotic behavior of multitype nearly critical Galton-Watson processes with immigration. (English) Zbl 1376.60075
Theory Probab. Appl. 59, No. 4, 590-610 (2015); translation from Teor. Veroyatn. Primen. 59, No. 4, 752-775 (2014).
Local extinction in continuous-state branching processes with immigration. (English) Zbl 1314.60146
Reviewer: Heinrich Hering (Rockenberg)
Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks. (English) Zbl 1303.60075
Heavy-tailed branching process with immigration. (English) Zbl 1306.60123
Reviewer: Alexander I. Zejfman (Vologda)
About time of reaching a high level by a random walk in a random environment. (English. Russian original) Zbl 1284.60087
Theory Probab. Appl. 57, No. 4, 547-567 (2013); translation from Teor. Veroyatn. Primen. 57, No. 4, 625-648 (2012).
Perturbing transient random walk in a random environment with cookies of maximal strength. (English. French summary) Zbl 1274.60254
Generalized Fleming-Viot processes with immigration via stochastic flows of partitions. (English) Zbl 1291.60152
Limit behavior of a critical branching process with immigration. (English. Russian original) Zbl 1278.60131
Math. Notes 92, No. 5, 612-618 (2012); translation from Mat. Zametki 92, No. 5, 670-677 (2012).
Reviewer: Álvaro Lozano Rojo (Zaragoza)
Small value probabilities for continuous state branching processes with immigration. (English) Zbl 1272.60060
Reviewer: Heinrich Hering (Rockenberg)
On the limit distributions of continuous-state branching processes with immigration. (English) Zbl 1242.60088
Backbone decomposition for continuous-state branching processes with immigration. (English) Zbl 1231.60089
Species abundance distributions in neutral models with immigration or mutation and general lifetimes. (English) Zbl 1230.92043
Limit theorems for supercritical age-dependent branching processes with neutral immigration. (English) Zbl 1218.60073
Reviewer: Leonid Petrov (Moskva)
Immigrated urn models-theoretical properties and applications. (English) Zbl 1226.60012
Reviewer: Nijole Kalinauskaitė (Vilnius)
Functional limiting theorem for branching processes with immigration. (English. Russian original) Zbl 1288.60112
Cybern. Syst. Anal. 46, No. 3, 485-493 (2010); translation from Kibern. Sist. Anal. 2010, No. 3, 152-161 (2010).
The asymptotic structure of nearly unstable non-negative integer-valued AR(1) models. (English) Zbl 1200.62105
Weak limit theorems for Jiřina processes with immigration. (Chinese. English summary) Zbl 1212.60156
The convergence of Galton-Watson branching processes with immigration to a diffusion process. (Russian, English) Zbl 1224.60218
Teor. Jmovirn. Mat. Stat. 79, 162-167 (2008); translation in Theory Probab. Math. Stat. 79, 179-185 (2009).
Reviewer: Mikhail P. Moklyachuk (Kyïv)
Limit theorems for normalized nearly critical branching processes with immigration. (English) Zbl 1164.60061
Reviewer: Oleg K. Zakusilo (Kiev)
Fluctuation limit of branching processes with immigration and estimation of the means. (English) Zbl 1069.62065
Moderate deviation principles for the occupation time process of a super-Brownian motion with immigration. (Chinese. English summary) Zbl 1063.60124
Chin. Ann. Math., Ser. A 26, No. 1, 53-60 (2005); translation in Chin. J. Contemp. Math. 26, No. 1, 61-70 (2005).
Immigration superprocesses with dependent spatial motion and non-critical branching. (English) Zbl 1066.60073
Immigration superprocesses with dependent spatial motion and non-critical branching. (Chinese. English summary) Zbl 1058.60067
The genealogy of continuous-state branching processes with immigration. (English) Zbl 1020.60074
Reviewer: Victor V.Goryainov (Volzhsky)
Critical Bellman-Harris branching processes with infinite variance allowing state-dependent immigration. (English) Zbl 1004.60084
Reviewer: E.A.van Doorn (Enschede)
Impact of limit theorems on branching processes. (English) Zbl 1098.60513
Reviewer: Valentin Topchii (Omsk)
A simple immigration-catastrophe process. (English) Zbl 0971.60086
Reviewer: Charles J.Mode (Philadelphia)
MSC:
60J80
On a method of proving limit theorems for branching processes with immigration. (English) Zbl 0917.60033
Kolchin, V. F. (ed.) et al., Probabilistic methods in discrete mathematics. Proceedings of the fourth international Petrozavodsk conference, Petrozavodsk, Russia, June 3–7, 1996. Utrecht: VSP. 103-109 (1997).
Reviewer: P.R.Parthasarathy (Madras)
A transfer theorem for multitype processes and applications. (English) Zbl 0899.60072
Ahsanullah, M. (ed.), Applied statistical science, II. International workshop on Recent development in applied statistics, August 21–23, 1996, Brawijawa Univ., Malang, Indonesia. Commack, NY: Nova Science Publishers. 37-56 (1997).
Aspects of the Skellam-Haldane distribution. (English) Zbl 0892.60023
Johnson, Norman L. (ed.) et al., Advances in the theory and practice of statistics. A volume in honor of Samuel Kotz. New York, NY: Wiley. Wiley Series in Probability and Statistics. 325-338 (1997).
Central limit theorem for martingales in BGWR branching processes with some statistical applications. (English) Zbl 0832.60030
A new class of branching processes. (English) Zbl 0839.60077
Heyde, C. C. (ed.), Branching processes. Proceedings of the first world congress, held September 5-12, 1993 in Varna, Bulgaria. New York: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 99, 90-105 (1995).
Reviewer: D.P.Kennedy (Cambridge)
Age-dependent branching processes with state-dependent immigration. (English) Zbl 0826.60075
Heyde, C. C. (ed.), Branching processes. Proceedings of the first world congress, held September 5-12, 1993 in Varna, Bulgaria. New York: Springer-Verlag. Lect. Notes Stat., Springer- Verlag. 99, 77-89 (1995).
Reviewer: V.Topchij (Omsk)
MSC:
60J80
Branching processes as sums of dependent random variables. (English) Zbl 0823.60074
Heyde, C. C. (ed.), Branching processes. Proceedings of the first world congress, held September 5-12, 1993 in Varna, Bulgaria. New York: Springer-Verlag. Lect. Notes Stat., Springer- Verlag. 99, 58-66 (1995).
MSC:
60J80
Some results for multitype Bellman-Harris branching processes with state- dependent immigration. (English) Zbl 0826.60074
Heyde, C. C. (ed.), Branching processes. Proceedings of the first world congress, held September 5-12, 1993 in Varna, Bulgaria. New York: Springer-Verlag. Lect. Notes Stat., Springer- Verlag. 99, 47-57 (1995).
Reviewer: V.Topchij (Omsk)
MSC:
60J80
On the identification of continuous-time Markov chains with a given invariant measure. (English) Zbl 0812.60060
On the asymptotic distribution of the maximum number of infectives in epidemic models with immigration. (English) Zbl 0817.92014
General branching processes with the immigration depending on reproduction. (Russian) Zbl 0773.60083
Reviewer: D.Aissani (Bejaia)
General branching processes with reproduction dependent immigration. (English. Russian original) Zbl 0788.60110
Theory Probab. Appl. 37, No. 3, 482-496 (1992); translation from Teor. Veroyatn. Primen. 37, No. 3, 513-525 (1992).
Convergence rates for the critical branching process with immigration. (English) Zbl 0822.60077
MSC:
60J80
A criterion of convergence of generalized processes and an application to a supercritical branching particle system. (English) Zbl 0757.60021
Reviewer: L.G.Gorostiza (Mexico City)
Another look at Gani’s carrier-borne epidemic model with two stages of infection. (English) Zbl 0728.92022
Reviewer: A.Kopp-Schneider (Heidelberg)
Density-dependent birth and death process with state-dependent immigration. (English) Zbl 0721.92019
Reviewer: H.J.Weiner (Davis)
Independence of partial autocorrelations for a classical immigration branching process. (English) Zbl 0736.62069
Reviewer: J.D.Biggins (Sheffield)
Branching processes and queueing systems with repeated orders or with random discipline. (English. Russian original) Zbl 0724.60092
Theory Probab. Appl. 35, No. 1, 38-53 (1990); translation from Teor. Veroyatn. Primen. 35, No. 1, 35-50 (1990).
Branching processes and queues with repeated orders or with random discipline. (Russian) Zbl 0699.60077
Reviewer: D.Aissani
Some asymptotic results for the branching process with immigration. (English) Zbl 0673.60092
Reviewer: D.Beyer
MSC:
60J80
Estimation theory for the branching process with immigration. (English) Zbl 0678.62079
Statistical inference from stochastic processes, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Ithaca/NY 1987, Contemp. Math. 80, 301-322 (1988).
The demographic variation process of branching random fields. (English) Zbl 0657.60051
Reviewer: D.A.Dawson
Limit theorems for supercritical branching random fields with immigration. (English) Zbl 0637.60097
Reviewer: K.Fleischmann
On a method of proof of limit theorems for branching processes with immigration depending on the state. (Russian) Zbl 0714.60075
Probabilistic models and mathematical statistics, Collect. Artic., Tashkent, 61-76 (1987).
Reviewer: M.Kimmel
The life spans of a Bellman-Harris branching process with immigration. (English. Russian original) Zbl 0668.60076
J. Sov. Math. 38, No. 5, 2198-2210 (1987); translation from Probability distributions and mathematical statistics, Collect. Artic., Tashkent 1986, 60-82 (1986).
MSC:
60J80
Sequential estimation functions in stochastic population processes. (English) Zbl 0644.62081
Mathematical statistics and probability theory, Proc. 6th Pannonian Symp., Bad Tatzmannsdorf/Austria 1986, Vol. B, 189-203 (1987).
Reviewer: R.Zielinski
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