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Volumn 76, Issue 6, 2006, Pages 555-561

Superposition of renewal processes with heavy-tailed interarrival times

Author keywords

Heavy tails; Lifetimes; Limiting distributions; Renewal processes; Superposition

Indexed keywords


EID: 33344459899     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2005.09.005     Document Type: Article
Times cited : (10)

References (9)
  • 2
    • 0002199065 scopus 로고
    • On the superposition of renewal processes
    • D.R. Cox W.L. Smith On the superposition of renewal processes Biometrika 41 1/2 1954 91-99
    • (1954) Biometrika , vol.41 , Issue.1-2 , pp. 91-99
    • Cox, D.R.1    Smith, W.L.2
  • 4
    • 4944232493 scopus 로고    scopus 로고
    • Convergence of scaled renewal processes and a packet arrival model
    • R. Gaigalas I. Kaj Convergence of scaled renewal processes and a packet arrival model Bernoulli 9 4 2003 671-703
    • (2003) Bernoulli , vol.9 , Issue.4 , pp. 671-703
    • Gaigalas, R.1    Kaj, I.2
  • 5
    • 33344463038 scopus 로고
    • On a limit theorem in renewal theory
    • B. Grigelionis On a limit theorem in renewal theory Litovsk. Mat. Sbornik 2 1962 25-34
    • (1962) Litovsk. Mat. Sbornik , vol.2 , pp. 25-34
    • Grigelionis, B.1
  • 6
    • 0035711637 scopus 로고    scopus 로고
    • Limit theorems for alternating renewal processes in the infinite mean case
    • K.V. Mitov N.M. Yanev Limit theorems for alternating renewal processes in the infinite mean case Adv. Appl. Probab. 33 2001 896-911
    • (2001) Adv. Appl. Probab. , vol.33 , pp. 896-911
    • Mitov, K.V.1    Yanev, N.M.2
  • 7
    • 33344457912 scopus 로고    scopus 로고
    • Limiting distributions for lifetimes in alternating renewal processes
    • K.V. Mitov N.M. Yanev Limiting distributions for lifetimes in alternating renewal processes Pliska-Stud.Math.Bulg. 16 2004 137-145
    • (2004) Pliska-Stud.Math.Bulg. , vol.16 , pp. 137-145
    • Mitov, K.V.1    Yanev, N.M.2
  • 8
    • 0034346706 scopus 로고    scopus 로고
    • Self-similar communication models and very heavy tails
    • Resnick, S., Rootzen, H., 2000. Self-similar communication models and very heavy tails. Ann. Appl. Probab. 10, 753-778.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 753-778
    • Resnick, S.1    Rootzen, H.2
  • 9
    • 33344460632 scopus 로고    scopus 로고
    • Renewal, regenerative and branching processes with stable distributions
    • N.M. Yanev K.V. Mitov G.P. Yanev Renewal, regenerative and branching processes with stable distributions J. Math. Sci. 122 4 2004 3438-3448
    • (2004) J. Math. Sci. , vol.122 , Issue.4 , pp. 3438-3448
    • Yanev, N.M.1    Mitov, K.V.2    Yanev, G.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.