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Volumn 58, Issue 1-3, 1999, Pages 159-174

Pre-limit Theorems and Their Applications

Author keywords

Prelimiting behavior; Random stability; Stable distribution

Indexed keywords


EID: 0001749898     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1006388622107     Document Type: Article
Times cited : (10)

References (25)
  • 2
    • 0030376633 scopus 로고    scopus 로고
    • Composition semigroups and random stability
    • Bunge, J.: Composition semigroups and random stability, Ann. Probab. 24 (1996), 1476-1489.
    • (1996) Ann. Probab. , vol.24 , pp. 1476-1489
    • Bunge, J.1
  • 3
    • 0001506720 scopus 로고
    • Estimating the stable index α in order to measure tail thickness: A critique
    • DuMouchel, W.: Estimating the stable index α in order to measure tail thickness: A critique, Ann. Statist. 11 (1983), 1019-1031.
    • (1983) Ann. Statist. , vol.11 , pp. 1019-1031
    • Dumouchel, W.1
  • 5
    • 0031478817 scopus 로고    scopus 로고
    • Approximation of partial sums of arbitrary i.i.d. random variables and the precision of the usual exponential upper bound
    • Hahn, M. G. and Klass, M. J.: Approximation of partial sums of arbitrary i.i.d. random variables and the precision of the usual exponential upper bound, Ann. Probab. 25 (1997), 1451-1470.
    • (1997) Ann. Probab. , vol.25 , pp. 1451-1470
    • Hahn, M.G.1    Klass, M.J.2
  • 8
    • 0000690103 scopus 로고
    • Contribution to the decay theory of a quasi-stationary state
    • Khalfin, L. A.: Contribution to the decay theory of a quasi-stationary state, J. Experiment. Theoret. Phys. 6 (1958), 1053-1063.
    • (1958) J. Experiment. Theoret. Phys. , vol.6 , pp. 1053-1063
    • Khalfin, L.A.1
  • 9
    • 0040999038 scopus 로고    scopus 로고
    • Sums of a random number of random variables an their approximations with v - Accompanying infinitely divisible laws
    • Klebanov, L. B. and Rachev, S. T.: Sums of a random number of random variables an their approximations with v - accompanying infinitely divisible laws, Serdica 22 (1996), 471-498.
    • (1996) Serdica , vol.22 , pp. 471-498
    • Klebanov, L.B.1    Rachev, S.T.2
  • 10
    • 0001479094 scopus 로고
    • A problem of Zolotarev and analogs of infinite divisible and stable distributions in a scheme for summing of a random number of random variables
    • Klebanov, L. B., Maniya, G. M. and Melamed, J. A.: A problem of Zolotarev and analogs of infinite divisible and stable distributions in a scheme for summing of a random number of random variables, Theory Probab. Appl. 29 (1984), 791-794.
    • (1984) Theory Probab. Appl. , vol.29 , pp. 791-794
    • Klebanov, L.B.1    Maniya, G.M.2    Melamed, J.A.3
  • 11
    • 0041385935 scopus 로고
    • Some latest works on limit theorems in probability theory
    • in Russian
    • Kolmogorov, A. N.: Some latest works on limit theorems in probability theory, Vestnik MGU 10 (1953), 28-39 (in Russian).
    • (1953) Vestnik MGU , vol.10 , pp. 28-39
    • Kolmogorov, A.N.1
  • 12
    • 0028405668 scopus 로고
    • The theory of geometric stable distributions and its use in modeling financial data
    • Kozubowski, T. J. and Rachev, S. T.: The theory of geometric stable distributions and its use in modeling financial data, European J. Oper. Res. 74 (1994), 310-324.
    • (1994) European J. Oper. Res. , vol.74 , pp. 310-324
    • Kozubowski, T.J.1    Rachev, S.T.2
  • 14
    • 14244255523 scopus 로고
    • Variables et processus stochastiques de Pareto-Levy, et la repartition des revenus
    • Mandelbrot, B.: Variables et processus stochastiques de Pareto-Levy, et la repartition des revenus, C.R. Acad. Sci. Paris 23 (1959), 2153-2155.
    • (1959) C.R. Acad. Sci. Paris , vol.23 , pp. 2153-2155
    • Mandelbrot, B.1
  • 15
    • 0002006546 scopus 로고
    • The Pareto-Levy law and the distribution of income
    • Mandelbrot, B.: The Pareto-Levy law and the distribution of income, Internat. Econ. Rev. 1 (1960), 79-106.
    • (1960) Internat. Econ. Rev. , vol.1 , pp. 79-106
    • Mandelbrot, B.1
  • 16
    • 84958363567 scopus 로고
    • Modeling asset returns with alternative stable distributions
    • Mittnik, S. and Rachev, S. T.: Modeling asset returns with alternative stable distributions, Econ. Rev. 12 (1993), 261-330.
    • (1993) Econ. Rev. , vol.12 , pp. 261-330
    • And, M.S.1    Rachev, S.T.2
  • 17
    • 0009615149 scopus 로고
    • Reply to comments on "Modeling asset returns with alternative stable distributions"
    • Mittnik, S. and Rachev, S. T.: Reply to comments on "Modeling asset returns with alternative stable distributions", Econometric Rev. 12 (1993), 347-389.
    • (1993) Econometric Rev. , vol.12 , pp. 347-389
    • Mittnik, S.1    Rachev, S.T.2
  • 22
    • 0031554424 scopus 로고    scopus 로고
    • Experimental evidence for non-exponential decay in quantum tunnelling
    • Wilkinson, S. R., Bharucha, C. F., Fisher, M. C., et al.: Experimental evidence for non-exponential decay in quantum tunnelling, Nature 387 (1997), 575-577.
    • (1997) Nature , vol.387 , pp. 575-577
    • Wilkinson, S.R.1    Bharucha, C.F.2    Fisher, M.C.3
  • 23
    • 0000138248 scopus 로고
    • Evolution of a quasi-stationary state
    • Winter, R. G.: Evolution of a quasi-stationary state, Phys. Rev. 123 (1961), 1503-1507.
    • (1961) Phys. Rev. , vol.123 , pp. 1503-1507
    • Winter, R.G.1
  • 25
    • 0003588120 scopus 로고
    • Nauka, Moscow, (in Russian). English translation: Amer. Math. Soc., Provindence, RI
    • Zolotarev, V. M.: One-Dimensional Stable Distributions, Nauka, Moscow, 1983 (in Russian). English translation: Amer. Math. Soc., Provindence, RI, 1986.
    • (1983) One-Dimensional Stable Distributions
    • Zolotarev, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.