Characterization of discrete laws via mixed sums and Markov branching processes
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Publication:1346160
DOI10.1016/0304-4149(94)00049-YzbMath0817.60010MaRDI QIDQ1346160
Publication date: 27 July 1995
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Characteristic functions; other transforms (60E10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes (60J99)
Related Items (19)
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Cites Work
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- On Mittag-Leffler functions and related distributions
- A note on Linnik's distribution
- Discrete analogues of self-decomposability and stability
- Generalized hypergeometric, digamma and trigamma distributions
- Necessary conditions for characterization of laws via mixed sums
- Stability equations for processes with stationary independent increments using branching processes and Poisson mixtures
- Some results on discrete a–monotonicity
- On a Class of Unimodal Distributions
- Self-decomposable discrete distributions and branching processes
- ON CHARACTERIZATIONS THROUGH MIXED SUMS
- On the subcritical Bellman-Harris process with immigration
- Limit theorems for the simple branching process allowing immigration, I. The case of finite offspring mean
- A characterization of gamma mixtures of stable laws motivated by limit theorems
- Embeddability of Discrete Time Simple Branching Processes into Continuous Time Branching Processes
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