內容簡介
本書講述了學習獨立同分布隨機變數和向量的極值現象的數學背景和隨機過程技巧。重在強調極值的三個重要的話題,規則變化函式的解析理論,點過程和隨機測度的機率論,度量空間機率測度的若收斂的漸進分布逼近之間的聯繫。目次:基礎;吸引域和規范常數;收斂的質量;記錄和極過程;多變數極值。
目錄
Preface
Preliminaries
uniformConvergence
Inverses of Monotone Functions
Convergence to Types Theorem and Limit Distributions of
Maxima
Regularly Varying Functions of a Real Variable Basics
Deeper Results;Karamata’S Theorem
Extensions of Regular Variation:兀.Variation.F.Variation
Domains ofAttraction and Norming Constants
Domain ofAttraction ofA(x)=exp
Domain ofAttraction
Domain ofAttraction
Von Mises Conditions
Equivalence Classes and Computation of Normalizing Constants
Quality ofConvergence