Limit theorems for alternating renewal processes in the infinite mean case

Advances in Applied Probability

Volumn 33, Issue 4, 2001, Pages 896-911

  Mitov, K V ^a   Yanev, N M ^a  

^a INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

Author keywords

Alternating renewal processes; Limiting distributions; Spent time; Stable laws

Indexed keywords

MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; VECTORS;

ALTERNATING RENEWAL PROCESSES;

THEOREM PROVING;

EID: 0035711637     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1011994035     Document Type: Article

References (14)

1. A renewal theorem in the infinite mean case
2. Some limit theorems for sums of independent random variables with infinite mathematical expectations
3. Strong renewal theorems with infinite mean
4. Some limit theorems for stochastic processes
5. Limit theorems for regenerative excursion processes
6. Bellman-Harris branching processes with state-dependent immigration
7. Bellman-Harris branching processes with a special type of state-dependent immigration
8. Regenerative processes in the infinite mean cycle case
9. A review of regenerative processes
10. Renewal theorems when the first or the second moment is infinite