Necessary conditions in limit theorems for cumulative processes

Stochastic Processes and their Applications

Volumn 98, Issue 2, 2002, Pages 199-209

  Glynn, Peter W ^a   Whitt, Ward ^b  

^a Stanford University   (United States)

^b AT AND T LABS RESEARCH   (United States)

Author keywords

Central limit theorem; Cumulative processes; Law of large numbers; Markov chains; Random sums; Regenerative processes

Indexed keywords

EID: 0036186821     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(01)00146-6     Document Type: Article

References (13)

1. Sur les propriétés asymptotiques de mouvement régis par certains types de chaines simples
2. Sur deux problèmes de M. Kolmogoroff concernant les chaines dénombrables
3. Limit theorems for cumulative processes
4. Limit theorems for stochastic processes with independent increments