Displaying similar documents to “Critical branching diffusions : proper normalization and conditioned limit”

Limit Theorems for Regenerative Excursion Processes

Mitov, Kosto (1999)

Serdica Mathematical Journal

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This work is supported by Bulgarian NFSI, grant No. MM–704/97 The regenerative excursion process Z(t), t = 0, 1, 2, . . . is constructed by two independent sequences X = {Xi , i ≥ 1} and Z = {Ti , (Zi (t), 0 ≤ t < Ti ), i ≥ 1}. For the embedded alternating renewal process, with interarrival times Xi – the time for the installation and Ti – the time for the work, are proved some limit theorems for the spent worktime and the residual worktime, when at least one of the...

On the Extinction Probability for Bisexual Branching Processes in Varying Environments

Molina, Manuel, Mota, Manuel, Ramos, Alfonso (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 60J80 In this paper, the bisexual branching process in varying environments introduced in [9] is considered and some sufficient conditions for the existence of positive probability of non-extinction are established. Research supported by the Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, grant BFM2000-0356 and the Consejería de Educación, Ciencia y Tecnología de la Junta de Extremadura and...