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New Properties of Bivariate Maxima of Particle Scores in Branching Processes with Continuous time
Moscow University Mathematics Bulletin ( IF 0.2 ) Pub Date : 2020-07-14 , DOI: 10.3103/s0027132220010027
A. V. Karpenko

Bivariate maxima of particle scores in immortal branching processes with continuous time are studied. The limit distribution for a maximum of two scores at two points in time is found. The limit intensities of jumps up and down for the maximum of both scores or at least one score are obtained. In the case of independent scores, mean number of joint jumps up and down for all time are calculated. Results are illustrated by examples.

中文翻译:

连续时间分支过程中粒子评分的双变量最大值的新性质

研究了具有连续时间的不朽分支过程中粒子分数的双变量最大值。找到在两个时间点最多两个分数的极限分布。获得两个分数或至少一个分数中最大值的上下跳跃的极限强度。在独立得分的情况下,将计算所有时间的平均关节跳跃次数。实例说明了结果。
更新日期:2020-07-14
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