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ERGODIC PROPERTIES OF RANDOM MEASURES ON STATIONARY-SEQUENCES OF SETS

集合的静止序列上的随机的措施的各态历经的性质

作     者:GROSS, A ROBERTSON, JB 

作者机构:Department of Statistics and Applied Probability University of California Santa Barbara USA 

出 版 物:《STOCHASTIC PROCESSES AND THEIR APPLICATIONS》 (随机过程及其应用)

年 卷 期:1993年第46卷第2期

页      面:249-265页

核心收录:

学科分类:07[理学] 0714[理学-统计学(可授理学、经济学学位)] 0701[理学-数学] 070101[理学-基础数学] 

主  题:MIXING SPECTRAL REPRESENTATION INFINITELY DIVISIBLE STACKING METHOD 

摘      要:We study a class of stationary sequences having spectral representation (M(tau(n)A))n is-an-element-of z, where A is a set in a measure space (E, E, mu), tau is an invertible measure-preserving transformation on (E, E, mu), and M is a random measure on (E, E, mu). We explore the relationship between the ergodic properties of the sequence and the properties of tau, and construct examples with various ergodic properties using a stacking method on the half-line [0, infinity).

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