TY - BOOK AU - Janson,Svante TI - Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics T2 - Memoirs of the American Mathematical Society SN - 9781470401139 AV - QA166.17 -- .J367 1994eb U1 - 511/.5 PY - 1994/// CY - Providence PB - American Mathematical Society KW - Random graphs KW - Central limit theorem KW - Orthogonal decompositions KW - Electronic books N1 - Intro -- Contents -- Chapter I. Foundations -- 1. Introduction -- 2. Preliminaries -- Graphs -- The Skorokhod topology -- Subsequences -- Continuous time martingales -- Semimartingales -- Wick products -- 3. The basic limit theorem -- 4. The orthogonal decomposition -- Chapter II. Limit theorems -- 5. Limits for G[sub(n,p)] -- 6. Limits for G[sub(n,m)] -- 7. Moment convergence -- 8. Functional convergence -- 9. The maximum -- Chapter III. Examples -- 10. Subgraph counts -- 11. Vertex degrees -- 12. Further examples -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113919 ER -