Statistical analysis of self-similar conservative fragmentation chains

DOI10.3150/10-BEJ274zbMath1284.62535arXiv0803.0879MaRDI QIDQ637108

Nathalie Krell, Marc Hoffmann

Publication date: 2 September 2011

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0879

zbMATH Keywords

parametricnonparametric estimationfragmentation chainskey renewal theorem

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Non-Markovian processes: estimation (62M09) Point estimation (62F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (3)

Nonparametric estimation of the division rate of an age dependent branching process ⋮ A central limit theorem for conservative fragmentation chains ⋮ Energy efficiency of consecutive fragmentation processes

Cites Work

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• Stone’s decomposition of the renewal measure via Banach-algebraic techniques
• Applied Probability and Queues
• Random Fragmentation and Coagulation Processes
• On the Distribution of the Sizes of Particles which Undergo Splitting
• Fragmentation energy
• Introduction to nonparametric estimation

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