Glynn, Peter W.; Whitt, Ward - In: Stochastic Processes and their Applications 47 (1993) 2, pp. 299-314
Necessary and sufficient conditions are established for cumulative process (associated with regenerative processes) to obey several classical limit theorems; e.g., a strong law of large numbers, a law of the iterated logarithm and a functional central limit theorem. The key random variables are...