Asymptotic expansions in multivariate renewal theory

DOI10.1016/0304-4149(90)90060-6zbMath0695.60085OpenAlexW1967223418MaRDI QIDQ910108

Robert W. Keener

Publication date: 1990

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

Full work available at URL: http://hdl.handle.net/2027.42/28734

zbMATH Keywords

renewal theorylimit theoremmultivariate analysismoment conditionsrenewal measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Renewal theory (60K05)

Related Items

Uniform convergence of exact large deviations for renewal reward processes ⋮ Credit Risk Propagation in Structural-Form Models ⋮ Diophantine approximations and local limit theorem in \(\mathbb R^d\)

Cites Work

• Asymptotic expansions for renewal measures in the plane
• One-sided error estimates in renewal theory
• A note on the rate of convergence of a mean
• Renewal Theory in the Plane
• An Analogue of the Renewal Theorem in Higher Dimensions
• Two theorems inr-dimensional renewal theory
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