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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 1, Pages 34–51 (Mi tvp1964)  

This article is cited in 155 scientific papers (total in 155 papers)

Branching processes with immigration and related limit theorems

K. Kawazu, Sh. Watanabe

Japan
Received: 02.09.1969
English version:
Theory of Probability and its Applications, 1971, Volume 16, Issue 1, Pages 36–54
DOI: https://doi.org/10.1137/1116003
Bibliographic databases:
Language: English
Citation: K. Kawazu, Sh. Watanabe, “Branching processes with immigration and related limit theorems”, Teor. Veroyatnost. i Primenen., 16:1 (1971), 34–51; Theory Probab. Appl., 16:1 (1971), 36–54
Citation in format AMSBIB
\Bibitem{KawWat71}
\by K.~Kawazu, Sh.~Watanabe
\paper Branching processes with immigration and related limit theorems
\jour Teor. Veroyatnost. i Primenen.
\yr 1971
\vol 16
\issue 1
\pages 34--51
\mathnet{http://mi.mathnet.ru/tvp1964}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=290475}
\zmath{https://zbmath.org/?q=an:0242.60034}
\transl
\jour Theory Probab. Appl.
\yr 1971
\vol 16
\issue 1
\pages 36--54
\crossref{https://doi.org/10.1137/1116003}
Linking options:
  • https://www.mathnet.ru/eng/tvp1964
  • https://www.mathnet.ru/eng/tvp/v16/i1/p34
  • This publication is cited in the following 155 articles:
    1. Elise Bayraktar, Emmanuelle Clément, “Estimation of a pure-jump stable Cox-Ingersoll-Ross process”, Bernoulli, 31:1 (2025)  crossref
    2. Athanasios Benetos, Olivier Coudray, Anne Gégout-Petit, Lionel Lenôtre, Simon Toupance, Denis Villemonais, “A branching model for intergenerational telomere length dynamics”, J. Math. Biol., 90:2 (2025)  crossref
    3. Markus Hess, “Wind power production modeling with CBI processes”, FMF, 2025  crossref
    4. Pei-Sen Li, Zenghu Li, Jian Wang, Xiaowen Zhou, “Exponential ergodicity of branching processes with immigration and competition”, Ann. Inst. H. Poincaré Probab. Statist., 61:1 (2025)  crossref
    5. Martina Favero, Paul A. Jenkins, “Sampling probabilities, diffusions, ancestral graphs, and duality under strong selection”, Electron. J. Probab., 30:none (2025)  crossref
    6. Guillaume Kon Kam King, Andrea Pandolfi, Marco Piretto, Matteo Ruggiero, “Approximate filtering via discrete dual processes”, Stochastic Processes and their Applications, 168 (2024), 104268  crossref
    7. Maria Emilia Caballero, Adrián González Casanova, José-Luis Pérez, “The relative frequency between two continuous-state branching processes with immigration and their genealogy”, Ann. Appl. Probab., 34:1B (2024)  crossref
    8. Jiawei Liu, “A scaling limit of controlled branching processes”, Statistics & Probability Letters, 208 (2024), 110081  crossref
    9. Pavel Gumenyuk, Takahiro Hasebe, José-Luis Pérez, “Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations”, Constr Approx, 2024  crossref
    10. Wei Xu, “Stochastic Volterra equations for the local times of spectrally positive stable processes”, Ann. Appl. Probab., 34:3 (2024)  crossref
    11. Pei Sen Li, Zeng Hu Li, “Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process”, Acta. Math. Sin.-English Ser., 2024  crossref
    12. Christa Cuchiero, Luca Di Persio, Francesco Guida, Sara Svaluto-Ferro, “Measure-valued affine and polynomial diffusions”, Stochastic Processes and their Applications, 175 (2024), 104392  crossref
    13. Serte Donderwinkel, “Convergence of the height process of supercritical Galton–Watson forests with an application to the configuration model in the critical window”, Adv. Appl. Probab., 56:3 (2024), 1064  crossref
    14. Christa Cuchiero, Luca Di Persio, Francesco Guida, Sara Svaluto‐Ferro, “Measure‐valued processes for energy markets”, Mathematical Finance, 2024  crossref
    15. Pei-Sen Li, Xiaowen Zhou, “Integral Functionals for Spectrally Positive Lévy Processes”, J Theor Probab, 36:1 (2023), 297  crossref
    16. Shukai Chen, Zenghu Li, “Strong feller and ergodic properties of the (1+1)-affine process”, J. Appl. Probab., 60:3 (2023), 812  crossref
    17. Claudio Fontana, Alessandro Gnoatto, Guillaume Szulda, “CBI-time-changed Lévy processes”, Stochastic Processes and their Applications, 163 (2023), 323  crossref
    18. Jim Pitman, Wenpin Tang, “Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk”, Ann. Probab., 50:4 (2022)  crossref
    19. Claudio Fontana, Alessandro Gnoatto, Guillaume Szulda, “CBI-time-changed Lévy processes for multi-currency modeling”, Ann Oper Res, 2022  crossref
    20. Ulrich Horst, Wei Xu, “The microstructure of stochastic volatility models with self-exciting jump dynamics”, Ann. Appl. Probab., 32:6 (2022)  crossref
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    Теория вероятностей и ее применения Theory of Probability and its Applications
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