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Volumn 80, Issue 11-12, 2010, Pages 975-981

Functional limit theorems for linear processes in the domain of attraction of stable laws

Author keywords

mixing.; Functional limit theorem; L vy stable processes; Skorohod topologies

Indexed keywords


EID: 77952239320     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2010.02.011     Document Type: Article
Times cited : (21)

References (16)
  • 1
    • 0003220909 scopus 로고
    • Limit theorems for sums of linearly generated random variables
    • Astrauskas A. Limit theorems for sums of linearly generated random variables. Liet. Mat. Rinkinys 1983, 23:3-12.
    • (1983) Liet. Mat. Rinkinys , vol.23 , pp. 3-12
    • Astrauskas, A.1
  • 2
    • 0001643692 scopus 로고
    • Weak convergence of sums of moving averages in the α-stable domain of attraction
    • Avram F., Taqqu M.S. Weak convergence of sums of moving averages in the α-stable domain of attraction. Ann. Probab. 1992, 20:483-503.
    • (1992) Ann. Probab. , vol.20 , pp. 483-503
    • Avram, F.1    Taqqu, M.S.2
  • 3
    • 77952243302 scopus 로고    scopus 로고
    • A functional limit theorem for partial sums of dependent random variables with infinite variance, preprint. URL .
    • Basrak, B., Krizmanic, D., Segers, J., 2010. A functional limit theorem for partial sums of dependent random variables with infinite variance, preprint. URL arxiv://arxiv.org/abs/1001.1345.
    • (2010)
    • Basrak, B.1    Krizmanic, D.2    Segers, J.3
  • 5
    • 0001568756 scopus 로고
    • Limit theory for moving averages of random variables with regularly varying tail probabilities
    • Davis R., Resnick S. Limit theory for moving averages of random variables with regularly varying tail probabilities. Ann. Probab. 1985, 13:179-195.
    • (1985) Ann. Probab. , vol.13 , pp. 179-195
    • Davis, R.1    Resnick, S.2
  • 8
    • 0345742307 scopus 로고
    • An inequality and almost sure convergence
    • Kounias E.G., Weng T.-S. An inequality and almost sure convergence. Ann. Math. Statist. 1969, 40:1091-1093.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 1091-1093
    • Kounias, E.G.1    Weng, T.-S.2
  • 9
    • 50649106654 scopus 로고    scopus 로고
    • The functional CLT for linear processes generated by mixing random variables with infinite variance
    • Moon H.J. The functional CLT for linear processes generated by mixing random variables with infinite variance. Statist. Probab. Lett. 2008, 78:2095-2101.
    • (2008) Statist. Probab. Lett. , vol.78 , pp. 2095-2101
    • Moon, H.J.1
  • 10
    • 77950019516 scopus 로고    scopus 로고
    • Invariance principle for stochastic processes with short memory
    • Inst. Math. Statist, Beachwood, OH, High Dimensional Probability
    • Peligrad M., Utev S. Invariance principle for stochastic processes with short memory. IMS Lecture Notes Monogr. Ser. 2006, vol. 51:18-32. Inst. Math. Statist, Beachwood, OH.
    • (2006) IMS Lecture Notes Monogr. Ser. , vol.51 , pp. 18-32
    • Peligrad, M.1    Utev, S.2
  • 11
    • 0002095272 scopus 로고
    • Point processes, regular variation and weak convergence
    • Resnick S.I. Point processes, regular variation and weak convergence. Adv. Appl. Probab. 1986, 18:66-138.
    • (1986) Adv. Appl. Probab. , vol.18 , pp. 66-138
    • Resnick, S.I.1
  • 12
    • 31344435469 scopus 로고
    • An invariance principle for stationary -mixing sequences with infinite variance
    • Shao Q.M. An invariance principle for stationary -mixing sequences with infinite variance. Chinese Ann. Math. Ser. B 1993, 14:27-42.
    • (1993) Chinese Ann. Math. Ser. B , vol.14 , pp. 27-42
    • Shao, Q.M.1
  • 13
    • 0000048010 scopus 로고
    • Maximal inequalities for partial sums of -mixing sequences
    • Shao Q.M. Maximal inequalities for partial sums of -mixing sequences. Ann. Probab. 1995, 23:948-965.
    • (1995) Ann. Probab. , vol.23 , pp. 948-965
    • Shao, Q.M.1
  • 14
    • 0039628631 scopus 로고
    • Limit theorems for stochastic processes
    • Skorohod A.V. Limit theorems for stochastic processes. Teor. Veroyat. Primen. 1956, 1:289-319.
    • (1956) Teor. Veroyat. Primen. , vol.1 , pp. 289-319
    • Skorohod, A.V.1
  • 15
    • 77952242917 scopus 로고    scopus 로고
    • Convergence to Lévy stable processes under strong mixing conditions, preprint. URL .
    • Tyran-Kamińska, M., 2009. Convergence to Lévy stable processes under strong mixing conditions, preprint. URL arxiv://arxiv.org/abs/0907.1185.
    • (2009)
    • Tyran-Kamińska, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.