A rigidity property of superpositions involving determinantal processes
| العنوان: | A rigidity property of superpositions involving determinantal processes |
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| المؤلفون: | Yanqi Qiu |
| المساهمون: | Hua Loo-Keng Key Laboratory of Mathematic [Beijing], Chinese Academy of Sciences [Beijing] (CAS), Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | Stochastic Processes and their Applications Stochastic Processes and their Applications, Elsevier, 2019, 129, pp.1371-1378. ⟨10.1016/j.spa.2018.05.002⟩ |
| بيانات النشر: | HAL CCSD, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Statistics and Probability, Pure mathematics, FOS: Physical sciences, Poisson distribution, 01 natural sciences, Combinatorics, 010104 statistics & probability, Superposition principle, symbols.namesake, Independent point, Rigidity (electromagnetism), Poisson point process, FOS: Mathematics, 0101 mathematics, [MATH]Mathematics [math], Mathematical Physics, Mathematics, Applied Mathematics, Probability (math.PR), 010102 general mathematics, Mathematical Physics (math-ph), 16. Peace & justice, Correlation kernel, Modeling and Simulation, symbols, Determinantal point process, Trace class, Mathematics - Probability |
| الوصف: | The main result of this paper states that if $(N, \Pi)$ is a pair of independent point processes on a common ground space with $N$ Poisson and $\Pi$ determinantal induced by a locally trace class (not necessarily self-adjoint) correlation kernel, then their independent superposition $N + \Pi$ determines uniquely the distributions of $N$ and $\Pi$. Comment: 7 pages |
| اللغة: | English |
| تدمد: | 0304-4149 |
| DOI: | 10.1016/j.spa.2018.05.002⟩ |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1a0b948188b85dc650177ec6e2164ec https://hal.archives-ouvertes.fr/hal-03486885/file/S0304414918301558.pdf |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....c1a0b948188b85dc650177ec6e2164ec |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 03044149 |
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| DOI: | 10.1016/j.spa.2018.05.002⟩ |