CONTINUOUS-TIME CONTROLLED BRANCHING PROCESSES

被引：0
|
作者：
del Puerto, Ines M. [1 ]
Yanev, George P. [2 ,3 ]
Molina, Manuel [1 ]
Yanev, Nikolay M. [3 ]
Gonzalez, Miguel [1 ]
机构：
[1] Univ Extremadura, Dept Math, Badajoz, Spain
[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX USA
[3] Bulgarian Acad Sci, Inst Math & Informat, Akad G Bonchev St,Bl 8, Sofia 1113, Bulgaria
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2021年 / 74卷 / 03期
关键词：
controlled branching processes; renewal processes; regenerative processes; random time change; limiting distributions;
D O I：
10.7546/CRABS.2021.03.04
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Controlled branching processes with continuous time are introduced and limiting distributions are obtained in the critical case. An extension of this class as regenerative controlled branching processes with continuous time is proposed and some asymptotic properties are considered.
引用
收藏
页码：332 / 342
页数：11
相关论文
共 50 条
  • [41] Continuous-time threshold AR(1) processes
    Stramer, O
    Brockwell, PJ
    Tweedie, RL
    [J]. ADVANCES IN APPLIED PROBABILITY, 1996, 28 (03) : 728 - 746
  • [42] GENERALIZED SOLUTIONS TO CONTINUOUS-TIME ALLOCATION PROCESSES
    ARTSTEIN, Z
    [J]. ECONOMETRICA, 1980, 48 (04) : 899 - 922
  • [43] Conditioning continuous-time Markov processes by guiding
    Corstanje, Marc
    van der Meulen, Frank
    Schauer, Moritz
    [J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2023, 95 (06) : 963 - 996
  • [44] On the Ergodicity of some Continuous-Time Markov Processes*
    Elesin M.A.
    Kuznetsov A.V.
    Zeifman A.I.
    [J]. Journal of Mathematical Sciences, 2014, 196 (1) : 43 - 49
  • [45] ON SAMPLING OF CONTINUOUS-TIME STOCHASTIC-PROCESSES
    WAHLBERG, B
    LJUNG, L
    SODERSTROM, T
    [J]. CONTROL-THEORY AND ADVANCED TECHNOLOGY, 1993, 9 (01): : 99 - 112
  • [46] Realizable monotonicity for continuous-time Markov processes
    Pra, Paolo Dai
    Louis, Pierre-Yves
    Minelli, Ida Germana
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2010, 120 (06) : 959 - 982
  • [47] Behavioural equivalences for continuous-time Markov processes
    Chen, Linan
    Clerc, Florence
    Panangaden, Prakash
    [J]. MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2023, 33 (4-5) : 222 - 258
  • [48] Series Expansions for Continuous-Time Markov Processes
    Heidergott, Bernd
    Hordijk, Arie
    Leder, Nicole
    [J]. OPERATIONS RESEARCH, 2010, 58 (03) : 756 - 767
  • [49] Spectral GMM estimation of continuous-time processes
    Chacko, G
    Viceira, LM
    [J]. JOURNAL OF ECONOMETRICS, 2003, 116 (1-2) : 259 - 292
  • [50] ON A CLASS OF CONTINUOUS-TIME MARKOV-PROCESSES
    GANI, J
    TIN, P
    [J]. JOURNAL OF APPLIED PROBABILITY, 1985, 22 (04) : 804 - 815
12345