Sagitov, Serik Critical branching as a pure death process coming down from infinity. (English) Zbl 1512.60057 J. Appl. Probab. 60, No. 2, 607-628 (2023). MSC: 60J80 60J74 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Blitvić, Natasha; Fernandez, Vicente I. Aging a little: on the optimality of limited senescence in Escherichia coli. (English) Zbl 1453.92198 J. Theor. Biol. 502, Article ID 110331, 7 p. (2020). MSC: 92C70 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meli, Gianfelice; Weber, Tom S.; Duffy, Ken R. Sample path properties of the average generation of a Bellman-Harris process. (English) Zbl 1418.92037 J. Math. Biol. 79, No. 2, 673-704 (2019). MSC: 92C37 60J85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vatutin, Vladimir A.; Hong, Wenming; Ji, Yao Reduced critical Bellman-Harris branching processes for small populations. (English. Russian original) Zbl 1420.60112 Discrete Math. Appl. 28, No. 5, 319-330 (2018); translation from Diskretn. Mat. 30, No. 3, 25-39 (2018). MSC: 60J80 60J85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Topchiĭ, V. A. On renewal matrices connected with branching processes with tails of distributions of different orders. (Russian, English) Zbl 1413.60083 Mat. Tr. 20, No. 2, 139-192 (2017); translation in Sib. Adv. Math. 28, No. 2, 115-153 (2018). MSC: 60K05 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, Vladimir Alekseevich; Topchiĭ, Valentin Alekseevich Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders. (Russian. English summary) Zbl 1391.60216 Sib. Èlektron. Mat. Izv. 14, 1248-1264 (2017). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Topchiy, Valentin A. Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes. (English. Russian original) Zbl 1375.60131 Discrete Math. Appl. 26, No. 1, 51-69 (2016); translation from Diskretn. Mat. 27, No. 1, 123-145 (2015). MSC: 60K05 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Topchii, V. A.; Vatutin, V. A.; Iksanov, A. M. Evolution of a two-type Bellman-Harris process generated by a large number of particles. (English) Zbl 1399.60137 PLISKA, Stud. Math. 24, 89-98 (2015). Reviewer: Kosto V. Mitov MSC: 60J80 60E10 60J85 60K05 × Cite Format Result Cite Review PDF Full Text: Link
Chou, Tom; Wang, Yu Fixation times in differentiation and evolution in the presence of bottlenecks, deserts, and oases. (English) Zbl 1342.92031 J. Theor. Biol. 372, 65-73 (2015). MSC: 92C15 92C37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bulinskaya, E. Vl. Complete classification of catalytic branching processes. (English. Russian original) Zbl 1376.60074 Theory Probab. Appl. 59, No. 4, 545-566 (2015); translation from Teor. Veroyatn. Primen. 59, No. 4, 639-666 (2014). MSC: 60J80 60J10 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin A two-type Bellman-Harris process initiated by a large number of particles. (English) Zbl 1321.60180 Acta Appl. Math. 138, No. 1, 279-312 (2015). MSC: 60J80 60K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kimmel, Marek; Axelrod, David A. Branching processes in biology. 2nd extended ed. (English) Zbl 1312.92004 Interdisciplinary Applied Mathematics 19. New York, NY: Springer (ISBN 978-1-4939-1558-3/hbk; 978-1-4939-1559-0/ebook). xx, 280 p. (2015). Reviewer: Irina Ioana Mohorianu (Norwich) MSC: 92-02 92B05 60J80 60J85 × Cite Format Result Cite Review PDF Full Text: DOI
Ycart, Bernard Fluctuation analysis with cell deaths. (English) Zbl 1334.92126 J. Appl. Probab. Stat. 9, No. 1, 13-29 (2014). MSC: 92C37 60J28 × Cite Format Result Cite Review PDF Full Text: arXiv
Bulinskaya, Ekaterina Vladimirovna Local particles numbers in critical branching random walk. (English) Zbl 1308.60097 J. Theor. Probab. 27, No. 3, 878-898 (2014). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60J80 60G50 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Rui; Hyrien, Ollivier On classes of equivalence and identifiability of age-dependent branching processes. (English) Zbl 1307.60117 Adv. Appl. Probab. 46, No. 3, 704-718 (2014). MSC: 60J80 60J85 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Vatutin, V. A.; Topchii, V. A. Critical Bellman-Harris branching processes with long-living particles. (English. Russian original) Zbl 1296.60237 Proc. Steklov Inst. Math. 282, 243-272 (2013); translation from Tr. Mat. Inst. Steklova 282, 257-287 (2013). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60F99 × Cite Format Result Cite Review PDF Full Text: DOI
Fok, Pak-Wing; Chou, Tom Identifiability of age-dependent branching processes from extinction probabilities and number distributions. (English) Zbl 1345.60099 J. Stat. Phys. 152, No. 4, 769-786 (2013). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Hamon, Agnès; Ycart, Bernard Statistics for the Luria-Delbrück distribution. (English) Zbl 1295.92022 Electron. J. Stat. 6, 1251-1272 (2012). MSC: 92D25 60J28 60J85 62G32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Vatutin, V. A.; Topchii, V. A. Catalytic branching random walks in \(\mathbb Z^d\) with branching at the origin. (Russian, English) Zbl 1340.60134 Mat. Tr. 14, No. 2, 28-72 (2011); translation in Sib. Adv. Math. 23, No. 2, 103-153 (2013). MSC: 60J80 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Bulinskaya, E. V. Limit distributions for the number of particles in branching random walks. (English. Russian original) Zbl 1288.60109 Math. Notes 90, No. 6, 824-837 (2011); translation from Mat. Zametki 90, No. 6, 845-859 (2011). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Bulinskaya, Ekaterina V. Limit distributions arising in branching random walks on integer lattices. (English) Zbl 1286.60022 Lith. Math. J. 51, No. 3, 310-321 (2011). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60F05 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Maler, Adrian; Lutscher, Frithjof Cell-cycle times and the tumour control probability. (English) Zbl 1211.92031 Math. Med. Biol. 27, No. 4, 313-342 (2010). MSC: 92C50 92C37 60J85 93A30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Angerer, Wolfgang P. Proliferation model dependence in fluctuation analysis: The neutral case. (English) Zbl 1203.92053 J. Math. Biol. 61, No. 1, 55-93 (2010). MSC: 92D15 60J85 60K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González, M.; Martínez, R.; Slavtchova-Bojkova, M. Stochastic monotonicity and continuity properties of the extinction time of Bellman-Harris branching processes: an application to epidemic modelling. (English) Zbl 1187.60066 J. Appl. Probab. 47, No. 1, 58-71 (2010). MSC: 60J80 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A. Branching Bellman-Harris processes. (Ветвящиеся процессы Беллмана-Харриса.) (Russian) Zbl 1304.60007 Lektsionnye Kursy NOTs 12. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 5-98419-031-1/pbk). 111 p. (2009). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60-01 60J80 60J05 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A.; Topchii, V. A. Limit theorem for critical catalytic branching random walks. (English. Russian original) Zbl 1093.60062 Theory Probab. Appl. 49, No. 3, 498-518 (2005); translation from Teor. Veroyatn. Primen. 49, No. 3, 461-484 (2004). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Alsmeyer, Gerold; Slavtchova-Bojkova, Maroussia Limit theorems for subcritical age-dependent branching processes with two types of immigration. (English) Zbl 1079.60072 Stoch. Models 21, No. 1, 133-147 (2005). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60K10 60K05 × Cite Format Result Cite Review PDF Full Text: DOI
Topchii, Valentin; Vatutin, Vladimir Two-dimensional limit theorem for a critical catalytic branching random walk. (English) Zbl 1062.60091 Drmota, Michael (ed.) et al., Mathematics and computer science III. Algorithms, trees, combinatorics and probabilities. Proceedings of the international colloquium of mathematics and computer sciences, Vienna, September 13–17, 2004. Basel: Birkhäuser (ISBN 3-7643-7128-5/hbk). Trends in Mathematics, 387-395 (2004). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60J27 60G50 82B41 × Cite Format Result Cite Review PDF
Athreya, K. B.; Schuh, H.-J. On the supercritical Bellman-Harris process with finite mean. (English) Zbl 1192.60095 Sankhyā 65, No. 2, 229-248 (2003). MSC: 60J80 × Cite Format Result Cite Review PDF
Topchii, Valentin; Vatutin, Vladimir Individuals at the origin in the critical catalytic branching random walk. (English) Zbl 1034.60078 Branderier, Cyril (ed.) et al., Discrete random walks, DRW’03. Proceedings of the conference, Paris, France, September 1–5, 2003. Paris: Maison de l’Informatique et des Mathématiques Discrètes (MIMD). Discrete Math. Theor. Comput. Sci., Proc. AC, 325-332, electronic only (2003). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: EMIS
Stadje, Wolfgang First-exit times for integer-valued continuous-time Markov chains. (English) Zbl 0972.60078 Sequential Anal. 19, No. 3, 93-114 (2000). Reviewer: Neculai Curteanu (Iaşi) MSC: 60J27 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Hye-Jeong Central limit theorems for Bellman-Harris processes. (English) Zbl 0947.60082 J. Korean Math. Soc. 36, No. 5, 923-943 (1999). Reviewer: G.Oprişan (Bucureşti) MSC: 60J80 60F05 × Cite Format Result Cite Review PDF
Kang, Hye-Jeong Law of large numbers for branching Brownian motion. (English) Zbl 0954.60068 J. Korean Math. Soc. 36, No. 1, 139-157 (1999). Reviewer: C.C.Heyde (Canberra) MSC: 60J80 60J99 × Cite Format Result Cite Review PDF
Bogachev, L. V.; Yarovaya, E. B. The moment analysis of a branching random walk on a lattice with a single source. (English. Russian original) Zbl 0963.60083 Dokl. Math. 58, No. 3, 403-406 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 4, 439-442 (1998). Reviewer: Vladimir Vatutin (Moskva) MSC: 60J80 60G50 × Cite Format Result Cite Review PDF
Albeverio, Sergio; Bogachev, Leonid V.; Yarovaya, Elena B. Asymptotics of branching symmetric random walk on the lattice with a single source. (English. Abridged French version) Zbl 0917.60080 C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 8, 975-980 (1998); erratum ibid. 327, No. 6, 585 (1998). Reviewer: Vladimir Vatutin (Moskva) MSC: 60J80 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Sagitov, Serik Limit skeleton for critical Crump-Mode-Jagers branching processes. (English) Zbl 0870.60084 Athreya, Krishna B. (ed.) et al., Classical and modern branching processes. Proceedings of the IMA workshop, Minneapolis, MN, USA, June 13–17, 1994. New York, NY: Springer. IMA Vol. Math. Appl. 84, 285-303 (1997). Reviewer: A.I.Zejfman (Vologda) MSC: 60J80 × Cite Format Result Cite Review PDF
Johnson, Richard A.; Taylor, James R. Minimum distance estimation using the Lotka limit for age dependent branching processes. (English) Zbl 0887.62089 Nonlinear Anal., Theory Methods Appl. 30, No. 1, 447-458 (1997). Reviewer: L.Edler (Heidelberg) MSC: 62M05 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Stivers, David N.; Kimmel, Marek On the clonal inheritance model of cell proliferation. (English) Zbl 0842.92018 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 3401-3408 (1996). MSC: 92D25 60J85 45D05 92C99 × Cite Format Result Cite Review PDF
Stivers, David N.; Kimmel, Marek A continuous-time, multi-type generational inheritance branching process model of cell proliferation with clonal memory. (English) Zbl 0898.60085 Nonlinear World 3, No. 3, 385-399 (1996). MSC: 60J80 × Cite Format Result Cite Review PDF
Ushakumari, P. V.; Krishnamoorthy, A.; Kashyap, B. R. K. On \(\text{GI}^{X(u)}/\text{G}/ \infty\) queue. (English) Zbl 0841.60075 Int. J. Inf. Manage. Sci. 6, No. 3, 59-67 (1995). Reviewer: G.G.Vrănceanu (Bucureşti) MSC: 60K25 90B22 × Cite Format Result Cite Review PDF
Slavtchova-Bojkova, Maroussia N.; Yanev, Nickolay M. 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 × Cite Format Result Cite Review PDF
Mitov, Kosto V. 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 × Cite Format Result Cite Review PDF
Jelejko, Ya. I. The asymptotic behavior of the Perron root for a family of branching processes. (English. Ukrainian original) Zbl 0948.60078 Theory Probab. Math. Stat. 52, 69-74 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 66-71 (1995). Reviewer: O.K.Zakusilo (Kyïv) MSC: 60J80 60J85 92D25 × Cite Format Result Cite Review PDF
Vatutin, V. A. On the explosiveness of nonhomogeneous age-dependent branching processes. (English. Russian original) Zbl 0948.60077 Theory Probab. Math. Stat. 52, 37-42 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 37-40 (1995). Reviewer: O.K.Zakusilo (Kyïv) MSC: 60J80 60J85 92D10 92D25 × Cite Format Result Cite Review PDF
Vatutin, V. A. Branching processes with final types of particles and random trees. (English. Russian original) Zbl 0846.60082 Theory Probab. Appl. 39, No. 4, 628-641 (1994); translation from Teor. Veroyatn. Primen. 39, No. 4, 699-715 (1994). Reviewer: J.D.Biggins (Sheffield) MSC: 60J80 × Cite Format Result Cite Review PDF
Vatutin, V. A. Branching processes and random trees. (English) Zbl 0811.60069 Niemi, H. (ed.) et al., Proceedings of the Third Finnish-Soviet symposium on probability theory and mathematical statistics. Turku, Finland, August 13-16, 1991. Utrecht: VSP. Front. Pure Appl. Probab. 1, 256-268 (1993). MSC: 60J80 05C80 × Cite Format Result Cite Review PDF
Vatutin, V. A. The total number of particles in a reduced Bellman-Harris branching process. (English. Russian original) Zbl 0807.60082 Theory Probab. Appl. 38, No. 3, 567-571 (1993); translation from Teor. Veroyatn. Primen. 38, No. 3, 624-629 (1993). MSC: 60J80 × Cite Format Result Cite Review PDF
Jagers, Peter Stabilities and instabilities in population dynamics. (English) Zbl 0813.92021 Kalashnikov, V. V. (ed.) et al., Stability problems for stochastic models. Proceedings of the 14th international seminar, held in Suzdal, Russia, Jan. 27 – Feb. 2, 1991. Berlin: Springer-Verlag. Lect. Notes Math. 1546, 58-67 (1993). MSC: 92D25 60J80 60J85 × Cite Format Result Cite Review PDF
Sevast’yanov, B. A. Distribution of the height of a random tree with labeled edges. (English. Russian original) Zbl 0807.60013 Theory Probab. Appl. 38, No. 2, 379-382 (1993); translation from Teor. Veroyatn. Primen. 38, No. 2, 453-457 (1993). MSC: 60C05 60J80 × Cite Format Result Cite Review PDF
Fuxman, Yakov L. Reproduction rate, feeding process, and Leibich limitations in cell populations. I: Feeding stochasticity and reproduction rate. (English) Zbl 0758.92010 Bull. Math. Biol. 55, No. 1, 175-195 (1993). MSC: 92D25 92C99 60J70 × Cite Format Result Cite Review PDF Full Text: DOI
Rakhimov, I. General branching processes with the immigration depending on reproduction. (Russian) Zbl 0773.60083 Teor. Veroyatn. Primen. 37, No. 3, 513-525 (1992). Reviewer: D.Aissani (Bejaia) MSC: 60J80 60G50 × Cite Format Result Cite Review PDF
Rakhimov, I. 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). MSC: 60J80 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A.; Sagitov, S. M. A critical branching process: The distant past under favorable present. (English. Russian original) Zbl 0745.60089 Theory Probab. Appl. 36, No. 1, 86-98 (1991); translation from Teor. Veroyatn. Primen. 36, No. 1, 3-15 (1991). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A. A limit theorem for a critical Bellman-Harris branching process with final types. (English. Russian original) Zbl 0795.60080 Proc. Steklov Inst. Math. 200, 83-92 (1993); translation from Tr. Mat. Inst. Steklova 200, 75-83 (1991). Reviewer: D.R.Grey (Sheffield) MSC: 60J80 60F05 × Cite Format Result Cite Review PDF
Vatutin, V. A.; Sagitov, S. M. A critical branching process: The remote past provided the favourable present. (Russian) Zbl 0727.60096 Teor. Veroyatn. Primen. 36, No. 1, 3-15 (1991). Reviewer: V.Topchij (Omsk) MSC: 60J80 × Cite Format Result Cite Review PDF
Weiner, Howard Age dependent branching processes with two types of immigration. (English) Zbl 0738.60087 J. Inf. Optim. Sci. 12, No. 2, 207-218 (1991). Reviewer: V.Topchij (Omsk) MSC: 60J80 60K05 × Cite Format Result Cite Review PDF Full Text: DOI
Aliev, S. A. Convergence of Bellman-Harris branching processes. (English. Russian original) Zbl 0724.60093 Ukr. Math. J. 42, No. 6, 730-734 (1990); translation from Ukr. Mat. Zh. 42, No. 6, 827-832 (1990). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Weiner, Howard J. A critical emigration branching process. (English) Zbl 0723.60106 J. Inf. Optim. Sci. 11, No. 2, 285-293 (1990). Reviewer: J.D.Biggins (Sheffield) MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Aliev, S. A. On the convergence of Bellman-Harris branching processes. (Russian) Zbl 0702.60071 Ukr. Mat. Zh. 42, No. 6, 827-832 (1990). Reviewer: V.Topchij MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Sagitov, S. M. A Bellman-Harris branching process starting with a large number of particles. (English. Russian original) Zbl 0736.60079 Sov. Math., Dokl. 42, No. 2, 372-375 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 1, 128-131 (1990). Reviewer: H.J.Weiner (Davis) MSC: 60J80 60G57 60J05 × Cite Format Result Cite Review PDF
Yakovlev, Andrej Yu.; Yanev, Nikolaj M. Transient processes in cell proliferation kinetics. (English) Zbl 0714.92008 Lecture Notes in Biomathematics, 82. Berlin etc.: Springer-Verlag. vi, 214 p. DM 44.00 (1989). Reviewer: M.Kimmel MSC: 92C99 92-02 92D25 60J85 60J80 × Cite Format Result Cite Review PDF
Badalbaev, I. S.; Ganikhodzhaev, A. N. A limit theorem for a Bellman-Harris branching process with immigration conditional on nonextinction. (Russian) Zbl 0693.60071 Dokl. Akad. Nauk UzSSR 1989, No. 6, 8-9 (1989). Reviewer: M.Kimmel MSC: 60J80 × Cite Format Result Cite Review PDF
Mitov, K. V.; Yanev, N. M. Bellman-Harris branching processes with a special type of state-dependent immigration. (English) Zbl 0674.60079 Adv. Appl. Probab. 21, No. 2, 270-283 (1989). Reviewer: H.Hering MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A.; Sagitov, S. M Critical decomposable Bellman-Harris processes with two types of particles. (English. Russian original) Zbl 0715.60107 Math. Notes 43, No. 2, 157-161 (1988); translation from Mat. Zametki 43, No. 2, 276-282 (1988). MSC: 60J80 60K99 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A.; Sagitov, S. M. Critical separable Bellman-Harris processes with two types of particles “distant” from Markovian ones. (Russian) Zbl 0676.60076 Mat. Zametki 43, No. 2, 276-282 (1988). Reviewer: B.P.Harlamov MSC: 60J80 60K99 × Cite Format Result Cite Review PDF
Yanev, N. M.; Slavtchova, M. N. Limit theorems for non-critical Bellman-Harris branching processes with state-dependent immigration. (English) Zbl 0674.60078 C. R. Acad. Bulg. Sci. 41, No. 12, 27-30 (1988). Reviewer: D.R.Grey MSC: 60J80 60F25 × Cite Format Result Cite Review PDF
Sagitov, S. M. Total progeny of a critical branching process. (English) Zbl 0683.60061 Mathematical statistics, theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 2, 713-715 (1987). MSC: 60J80 × Cite Format Result Cite Review PDF
Yakovlev, A. Yu.; Tanushev, M. S.; Yanev, N. M. Bellman-Harris branching processes and distributions of marks in proliferating cell populations. (English) Zbl 0671.92016 Mathematical statistics theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 2, 725-728 (1987). MSC: 92D25 60J85 92Cxx × Cite Format Result Cite Review PDF
Badalbaev, I. S.; Mashrabbaev, A. 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 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A. Sufficient conditions for regularity of Bellman-Harris branching processes. (English. Russian original) Zbl 0658.60115 Theory Probab. Appl. 31, 50-57 (1987); translation from Teor. Veroyatn. Primen. 31, No. 1, 59-66 (1986). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A.; Sagitov, S. M. A decomposable critical Bellman-Harris branching process with two types of particles. (English. Russian original) Zbl 0627.60078 Sov. Math., Dokl. 34, 559-561 (1987); translation from Dokl. Akad. Nauk SSSR 291, 1040-1043 (1986). Reviewer: W.Rittgen MSC: 60J80 × Cite Format Result Cite Review PDF
Vatutin, V. A. A critical Bellman-Harris branching process with particles of final type. (English. Russian original) Zbl 0619.60080 Theory Probab. Appl. 31, 428-438 (1987); translation from Teor. Veroyatn. Primen. 31, No. 3, 491-502 (1986). Reviewer: M.Kimmel MSC: 60J80 60E10 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A. Asymptotic properties of Bellman-Harris critical branching processes starting with a large number of particles. (English. Russian original) Zbl 0736.60080 J. Sov. Math. 47, No. 5, 2673-2681 (1989); translation from Probl. Ustojch. Stokhasticheskikh Modelej 1987, 8-15 (1987). Reviewer: Z.Vondraček (Zagreb) MSC: 60J80 60E10 × Cite Format Result Cite Review PDF Full Text: DOI
Pakes, Anthony G. Some properties of a branching process with group immigration and emigration. (English) Zbl 0631.60083 Adv. Appl. Probab. 18, 628-645 (1986). Reviewer: F.Bruss MSC: 60J80 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Götz, Thomas Generation-dependent branching processes with immigration: Convergence of distributions. (English) Zbl 0609.60091 Stochastic spatial processes, Proc. Conf., Heidelberg/Ger. 1984, Lect. Notes Math. 1212, 136-144 (1986). Reviewer: H.J.Weiner MSC: 60J80 60J10 60J85 × Cite Format Result Cite Review PDF
Sagitov, S. M. Reduced critical Bellman-Harris branching process with several types of particles. (English. Russian original) Zbl 0607.60074 Theory Probab. Appl. 30, 783-796 (1986); translation from Teor. Veroyatn. Primen. 30, No. 4, 737-749 (1985). Reviewer: L.Podkaminer MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A. Sufficient regularity conditions for Bellman-Harris branching processes. (Russian) Zbl 0603.60078 Teor. Veroyatn. Primen. 31, No. 1, 59-66 (1986). Reviewer: M.Kimmel MSC: 60J80 × Cite Format Result Cite Review PDF
Chauvin, B. Arbres et processus de Bellman-Harris. (Trees and Bellman-Harris processes). (French) Zbl 0597.60078 Ann. Inst. Henri Poincaré, Probab. Stat. 22, 209-232 (1986). Reviewer: P.Tautu MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Topchij, V. A. Asymptotics of the probability of continuation for critical general branching processes with no second moment for the number of descendants. (English) Zbl 0591.60084 Advances in probability theory: Limit theorems for sums of random variables, Transl. Ser. Math. Eng., 269-296 (1986). MSC: 60J80 × Cite Format Result Cite Review PDF
Rakhimov, I. Limit distributions for integrals of the Bellman-Harris process with inhomogeneous immigration. (Russian) Zbl 0605.60072 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1985, No. 5, 20-25 (1985). Reviewer: B.Grigelionis MSC: 60J80 60F05 × Cite Format Result Cite Review PDF
Mitov, K. V.; Yanev, N. M. Bellman-Harris branching processes with state-dependent immigration. (English) Zbl 0581.60068 J. Appl. Probab. 22, 757-765 (1985). Reviewer: L.Edler MSC: 60J80 60K15 × Cite Format Result Cite Review PDF Full Text: DOI
Yanev, Nickolaj M.; Yakovlev, Andrej Yu. On the distribution of marks over a proliferating cell population obeying the Bellman-Harris branching process. (English) Zbl 0577.92018 Math. Biosci. 75, 159-173 (1985). MSC: 92D25 60J85 92Cxx 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Jacobson, Marc E. Computation of extinction probabilities for the Bellman-Harris branching process. (English) Zbl 0575.60085 Math. Biosci. 77, 173-177 (1985). MSC: 60J80 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Mitov, K. V. A Bellman-Harris process with a flexible screen in zero. (Russian) Zbl 0654.60066 PLISKA, Stud. Math. Bulg. 7, 134-145 (1984). MSC: 60J80 60F05 × Cite Format Result Cite Review PDF
Aliev, S. A. Limit theorem for the Bellman-Harris processes. (Russian) Zbl 0586.60085 Some questions of the theory of stochastic processes, Collect. sci. Works, Kiev 1984, 3-10 (1984). Reviewer: P.Lansky MSC: 60J80 60F05 × Cite Format Result Cite Review PDF
Elejko, Ya. I. Asymptotic behaviour of the first moment of the Bellman-Harris branching process with an arbitrary number of types. (Russian) Zbl 0578.60080 Some questions of the theory of stochastic processes, Collect. sci. Works, Kiev 1984, 32-35 (1984). Reviewer: R.Potocky MSC: 60J80 × Cite Format Result Cite Review PDF
Yakymiv, A. L. Two limit theorems for critical Bellman-Harris branching processes. (English. Russian original) Zbl 0569.60084 Math. Notes 36, 546-550 (1984); translation from Mat. Zametki 36, No. 1, 109-116 (1984). Reviewer: S.Asmussen MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Yakymiv, A. L. Two limit theorems for critical Bellman-Harris branching processes. (Russian) Zbl 0549.60080 Mat. Zametki 36, No. 1, 109-116 (1984). Reviewer: O.Enchev MSC: 60J80 60F05 × Cite Format Result Cite Review PDF
Topchij, V. A. A local theorem for Bellman-Harris critical processes with discrete time. (English) Zbl 0542.60085 Advances in probability theory: Limit theorems and related problems, Transl. Ser. Math. Eng., 175-219 (1984). MSC: 60J80 × Cite Format Result Cite Review PDF
Topchij, V. A. Asymptotics of the survival probability of critical general branching processes without second moment of quantity of offspring. (Russian) Zbl 0541.60091 Predel’nye Teoremy dlya Summ Sluchajnykh Velichin, Tr. Inst. Mat. 3, 181-197 (1984). Reviewer: E.Seneta MSC: 60J80 × Cite Format Result Cite Review PDF
Mitov, K. V. Limit theorems for branching processes with immigration depending on the state of the process. (Russian) Zbl 0579.60085 C. R. Acad. Bulg. Sci. 36, 189-192 (1983). Reviewer: Y.Ge MSC: 60J80 × Cite Format Result Cite Review PDF
Pakes, Anthony G. Some properties of a random linear difference equation. (English) Zbl 0535.60076 Aust. J. Stat. 25, 345-357 (1983). Reviewer: A.D.Barbour MSC: 60J80 60F05 60J05 × Cite Format Result Cite Review PDF Full Text: DOI
Cohn, Harry On the convergence result for the supercritical Bellman-Harris process. (English) Zbl 0525.60084 Aust. J. Stat. 25, 249-255 (1983). MSC: 60J80 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Vatutin, V. A. A local limit theorem for critical Bellman-Harris branching processes. (English) Zbl 0524.60078 Proc. Steklov Inst. Math. 158, 9-31 (1983). MSC: 60J80 60F05 45E10 60K05 × Cite Format Result Cite Review PDF
Kimmel, Marek The point-process approach to age- and time-dependent branching processes. (English) Zbl 0521.92016 Adv. Appl. Probab. 15, 1-20 (1983). MSC: 92D25 60G55 60J80 92B05 60J85 × Cite Format Result Cite Review PDF Full Text: DOI
Asadullin, M. Kh.; Nagaev, S. V. Limit theorems for a critical branching process with immigration. (English. Russian original) Zbl 0526.60074 Math. Notes 32, 750-757 (1983); translation from Mat. Zametki 32, 537-547 (1982). MSC: 60J80 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Srinivasan, S. K.; Udayabhaskaran, S. A generalized branching process and a stochastic integral associated with it. (English) Zbl 0507.60080 J. Math. Phys. Sci. 16, 367-382 (1982). MSC: 60J80 60H05 × Cite Format Result Cite Review PDF
Topchij, V. A. Local limit theorem for critical Bellman-Harris processes with discrete time. (Russian) Zbl 0507.60079 Predel’nye Teoremy Teorii Veroyatnoste i Smezhnye Voprosy, Tr. Inst. Mat. 1, 97-122 (1982). MSC: 60J80 × Cite Format Result Cite Review PDF
Schuh, H.-J. Seneta constants for the supercritical Bellman-Harris process. (English) Zbl 0504.60080 Adv. Appl. Probab. 14, 732-751 (1982). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Sagitov, S. M. Common ancestors in critical Bellman-Harris branching processes with several types of particles. (Russian) Zbl 0499.60090 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1982, No. 3, 66-69 (1982). MSC: 60J80 × Cite Format Result Cite Review PDF