Generalised two-sample \(U\)-statistics and a two-species reaction- diffusion model

DOI10.1016/0304-4149(94)00039-VzbMath0813.60022MaRDI QIDQ1346144

Mathew D. Penrose

Publication date: 30 May 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

Brownian motioninfinitely divisible distributionsPoisson processdiffusion-controlled chemical reaction

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

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Estimation of entropy-type integral functionals

Cites Work

• Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
• Sur la saucisse de Wiener et les points multiples du mouvement Brownien. (On the Wiener sausage and the multiple points of Brownian motion)
• Asymptotic behavior of densities for two-particle annihilating random walks
• Fluctuations for annihilations of Brownian spheres
• Propagation of chaos for a system of annihilating brownian spheres
• Characterization and convergence of random measures and point processes
• Consistency and Unbiasedness of Certain Nonparametric Tests
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