메뉴 건너뛰기




Volumn 26, Issue 3, 2011, Pages 491-505

Partially smooth tail-index estimation for small samples

Author keywords

Extreme value theory; L moments; Monotone density estimation; Probability weighted moments; Small sample performance; Tail index estimation

Indexed keywords


EID: 79960594343     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-010-0221-5     Document Type: Article
Times cited : (1)

References (32)
  • 2
    • 67349205398 scopus 로고    scopus 로고
    • Shape constrained kernel density estimation
    • Birke M (2009) Shape constrained kernel density estimation. J Statist Plann Inference 139(8): 2851-2862.
    • (2009) J Statist Plann Inference , vol.139 , Issue.8 , pp. 2851-2862
    • Birke, M.1
  • 3
    • 55849141314 scopus 로고    scopus 로고
    • A note on estimating a smooth monotone regression by combining kernel and density estimates
    • Birke M, Dette H (2008) A note on estimating a smooth monotone regression by combining kernel and density estimates. J Nonparametr Stat 20(8): 679-691.
    • (2008) J Nonparametr Stat , vol.20 , Issue.8 , pp. 679-691
    • Birke, M.1    Dette, H.2
  • 5
    • 0000857049 scopus 로고
    • Kernel estimates of the tail index of a distribution
    • Csörgo{double acute} S, Deheuvels P, Mason D (1985) Kernel estimates of the tail index of a distribution. Ann Statist 13: 1050-1077.
    • (1985) Ann Statist , vol.13 , pp. 1050-1077
    • Csörgo, S.1    Deheuvels, P.2    Mason, D.3
  • 7
    • 68149112617 scopus 로고    scopus 로고
    • Performances of some parameter estimators of the generalized pareto distribution over rounded-off samples
    • Deidda R, Puliga M (2009) Performances of some parameter estimators of the generalized pareto distribution over rounded-off samples. Phys Chem Earth 34: 626-634.
    • (2009) Phys Chem Earth , vol.34 , pp. 626-634
    • Deidda, R.1    Puliga, M.2
  • 8
    • 33846090365 scopus 로고    scopus 로고
    • A simple nonparametric estimator of a strictly monotone regression function
    • Dette H, Neumeyer N, Pilz KF (2006) A simple nonparametric estimator of a strictly monotone regression function. Bernoulli 12: 469-490.
    • (2006) Bernoulli , vol.12 , pp. 469-490
    • Dette, H.1    Neumeyer, N.2    Pilz, K.F.3
  • 9
    • 0000665083 scopus 로고
    • Nonparametric estimates of a multivariate probability density
    • Epanechnikov VA (1969) Nonparametric estimates of a multivariate probability density. Theor Probab Appl 14: 153-158.
    • (1969) Theor Probab Appl , vol.14 , pp. 153-158
    • Epanechnikov, V.A.1
  • 10
    • 33750985964 scopus 로고    scopus 로고
    • Probability weighted moments properties of small samples
    • Furrer R, Naveau P (2007) Probability weighted moments properties of small samples. Statist Probab Lett 77: 190-195.
    • (2007) Statist Probab Lett , vol.77 , pp. 190-195
    • Furrer, R.1    Naveau, P.2
  • 11
    • 0002684932 scopus 로고
    • Kernel estimates of regression functions
    • T. Gasser and M. Rosenblatt (Eds.), Berlin: Springer Lecture Notes in Math
    • Gasser T, Müller HG (1979) Kernel estimates of regression functions. In: Gasser T, Rosenblatt M (eds) Smoothing techniques for curve estimation, Lecture Notes in Math. 757. Springer, Berlin.
    • (1979) Smoothing Techniques for Curve Estimation , vol.757
    • Gasser, T.1    Müller, H.G.2
  • 12
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum dune série aléatoire
    • Gnedenko BV (1943) Sur la distribution limite du terme maximum dune série aléatoire. Ann of Math 2(44): 423-453.
    • (1943) Ann of Math , vol.2 , Issue.44 , pp. 423-453
    • Gnedenko, B.V.1
  • 13
    • 0018713386 scopus 로고
    • Probability weighted moments: definition and relation to parameters of several distributions expressable in inverse form
    • Greenwood JA, Landwehr JM, Matalas NC, Wallis JR (1979) Probability weighted moments: definition and relation to parameters of several distributions expressable in inverse form. Water Resour Res 15: 1049-1054.
    • (1979) Water Resour Res , vol.15 , pp. 1049-1054
    • Greenwood, J.A.1    Landwehr, J.M.2    Matalas, N.C.3    Wallis, J.R.4
  • 14
    • 84945603474 scopus 로고
    • On the theory of mortality measurement. ii
    • Grenander U (1956) On the theory of mortality measurement. ii. Skand Aktuarietidskr 39: 125-153.
    • (1956) Skand Aktuarietidskr , vol.39 , pp. 125-153
    • Grenander, U.1
  • 15
    • 1442308353 scopus 로고    scopus 로고
    • Kernel-type estimators for the extreme value index
    • Groeneboom P, Lopuhaä HP, de Wolf PP (2003) Kernel-type estimators for the extreme value index. Ann Statist 31: 1956-1995.
    • (2003) Ann Statist , vol.31 , pp. 1956-1995
    • Groeneboom, P.1    Lopuhaä, H.P.2    de Wolf, P.P.3
  • 16
    • 0023400777 scopus 로고
    • Parameter and quantile estimation for the generalized pareto distribution
    • Hosking JRM, Wallis JR (1987) Parameter and quantile estimation for the generalized pareto distribution. Technometrics 29: 339-349.
    • (1987) Technometrics , vol.29 , pp. 339-349
    • Hosking, J.R.M.1    Wallis, J.R.2
  • 17
    • 0022113451 scopus 로고
    • Estimation of the generalized extreme-value distribution by the method of probability-weighted moments
    • Hosking JRM, Wallis JR, Wood EF (1985) Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. Technometrics 27: 251-261.
    • (1985) Technometrics , vol.27 , pp. 251-261
    • Hosking, J.R.M.1    Wallis, J.R.2    Wood, E.F.3
  • 18
    • 0000310360 scopus 로고
    • L-Moments: Analysis and estimation of distributions using linear combinations of order statistics
    • Hosking JRM (1990) L-Moments: Analysis and estimation of distributions using linear combinations of order statistics. J Roy Statist Soc Ser B 52: 105-124.
    • (1990) J Roy Statist Soc Ser B , vol.52 , pp. 105-124
    • Hosking, J.R.M.1
  • 21
    • 0018721622 scopus 로고
    • Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles
    • Landwehr JM, Matalas NC, Wallis JR (1979) Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles. Water Resour Res 15: 1055-1064.
    • (1979) Water Resour Res , vol.15 , pp. 1055-1064
    • Landwehr, J.M.1    Matalas, N.C.2    Wallis, J.R.3
  • 22
    • 0001705432 scopus 로고
    • Kernel estimators of zeros and of location and size of extrema of regression functions
    • Müller HG (1985) Kernel estimators of zeros and of location and size of extrema of regression functions. Scand J Statist 12: 221-232.
    • (1985) Scand J Statist , vol.12 , pp. 221-232
    • Müller, H.G.1
  • 23
    • 49549086893 scopus 로고    scopus 로고
    • On the max-domain of attraction of distributions with log-concave densities
    • Müller S, Rufibach K (2008) On the max-domain of attraction of distributions with log-concave densities. Statist Probab Lett 78(12): 1440-1444.
    • (2008) Statist Probab Lett , vol.78 , Issue.12 , pp. 1440-1444
    • Müller, S.1    Rufibach, K.2
  • 25
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands J (1975) Statistical inference using extreme order statistics. Ann Statist 3: 119-131.
    • (1975) Ann Statist , vol.3 , pp. 119-131
    • Pickands, J.1
  • 26
    • 84892205330 scopus 로고    scopus 로고
    • 3rd edn., Basel: Birkhäuser Verlag AG With Applications to Insurance, Finance, Hydrology and Other Fields
    • Reiss RD, Thomas M (2007) Statistical analysis of extreme values. With applications to insurance, Finance, hydrology and other fields, 3rd edn. Birkhäuser Verlag AG, Basel.
    • (2007) Statistical Analysis of Extreme Values
    • Reiss, R.D.1    Thomas, M.2
  • 29
    • 8644283685 scopus 로고    scopus 로고
    • Generalized pickands estimators for the extreme value index
    • Segers J (2005) Generalized pickands estimators for the extreme value index. J Statist Plann Inference 128(2): 381-396.
    • (2005) J Statist Plann Inference , vol.128 , Issue.2 , pp. 381-396
    • Segers, J.1
  • 31
    • 0000704345 scopus 로고
    • Maximum likelihood estimation in a class of nonregular cases
    • Smith RL (1985) Maximum likelihood estimation in a class of nonregular cases. Biometrika 72: 67-90.
    • (1985) Biometrika , vol.72 , pp. 67-90
    • Smith, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.