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Volumn 60, Issue 1, 1997, Pages 169-187

On tail parameter estimation in certain point process models

Author keywords

Hill estimator; Neighbourhoods of a parametric model; Optimality; Tail parameters

Indexed keywords


EID: 0031590995     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(96)00128-0     Document Type: Article
Times cited : (4)

References (18)
  • 1
    • 0018893381 scopus 로고
    • A note on esimation for gamma and stable processes
    • Basawa, I.V. and P.J. Brockwell (1980). A note on esimation for gamma and stable processes. Biometrika 67, 234-236.
    • (1980) Biometrika , vol.67 , pp. 234-236
    • Basawa, I.V.1    Brockwell, P.J.2
  • 3
    • 0000857049 scopus 로고
    • Kernel estimates of the tail index of a distribution
    • Csörgö, S., P. Deheuvels, and D. Mason, (1985). Kernel estimates of the tail index of a distribution. Ann. Statist. 13, 1050-1077.
    • (1985) Ann. Statist. , vol.13 , pp. 1050-1077
    • Csörgö, S.1    Deheuvels, P.2    Mason, D.3
  • 7
    • 38249011268 scopus 로고
    • Poisson approximation of empirical processes
    • Falk, M. and R.D. Reiss (1992). Poisson approximation of empirical processes. Statist. Prob. Lett. 14, 39-48.
    • (1992) Statist. Prob. Lett. , vol.14 , pp. 39-48
    • Falk, M.1    Reiss, R.D.2
  • 9
    • 0002407801 scopus 로고
    • On some simple estimates of an exponent of regular variation
    • Hall, P. (1982). On some simple estimates of an exponent of regular variation. J. Roy. Statist. Soc. B 44, 37-42.
    • (1982) J. Roy. Statist. Soc. B , vol.44 , pp. 37-42
    • Hall, P.1
  • 10
    • 0000468598 scopus 로고
    • Best attainable rates of convergence for estimates of parameters of regular variation
    • Hall, P. and A.H. Welsh (1984). Best attainable rates of convergence for estimates of parameters of regular variation. Ann. Statist. 12, 1079-1084.
    • (1984) Ann. Statist. , vol.12 , pp. 1079-1084
    • Hall, P.1    Welsh, A.H.2
  • 11
    • 0001618329 scopus 로고
    • On asymptotic normality of Hill's estimator for the exponent of regular variation
    • Häusler, E and J.L. Teugels (1985). On asymptotic normality of Hill's estimator for the exponent of regular variation. Ann. Statist. 13, 743-756.
    • (1985) Ann. Statist. , vol.13 , pp. 743-756
    • Häusler, E.1    Teugels, J.L.2
  • 12
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill, B.M. (1975). A simple general approach to inference about the tail of a distribution. Ann. Math. Statist. 3, 1163-1174.
    • (1975) Ann. Math. Statist. , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 14
    • 0002957687 scopus 로고
    • Some remarks on the joint estimation of the index and the scale parameter for stable processes
    • P. Mandl and M. Huskova Eds., 1993, Physica-Verlag, Heidelberg
    • Höpfner, R. and J. Jacod (1994). Some remarks on the joint estimation of the index and the scale parameter for stable processes. In: P. Mandl and M. Huskova Eds., Asymptotic Statistics. Proc. 5th Prague Symp. 1993, Physica-Verlag, Heidelberg 273-284.
    • (1994) Asymptotic Statistics. Proc. 5th Prague Symp. , pp. 273-284
    • Höpfner, R.1    Jacod, J.2
  • 17
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    • Asymptotic inference about a distribution function at the end of its range
    • Weiss, L. (1971). Asymptotic inference about a distribution function at the end of its range. Nav. Res. Logist. Quart. 18, 111-114.
    • (1971) Nav. Res. Logist. Quart. , vol.18 , pp. 111-114
    • Weiss, L.1
  • 18
    • 0003245748 scopus 로고
    • One-dimensional stable distributions
    • American Mathematical Society: Providence
    • Zolotarev, V.M. (1986). One-dimensional Stable Distributions. Translations of Mathematical Monographs 65, American Mathematical Society: Providence.
    • (1986) Translations of Mathematical Monographs , pp. 65
    • Zolotarev, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.