-
1
-
-
0011521721
-
Asymptotic normality of Hill's estimator
-
Extreme Value Theory (Oberwolfach, 1987), Springer, New York
-
Beirlant J., and Teugels J. Asymptotic normality of Hill's estimator. Extreme Value Theory (Oberwolfach, 1987). Lecture Notes in Statistics vol. 51 (1989), Springer, New York 148-155
-
(1989)
Lecture Notes in Statistics
, vol.51
, pp. 148-155
-
-
Beirlant, J.1
Teugels, J.2
-
4
-
-
84893363642
-
Applying the proportional hazard premium calculation principle
-
Centeno M.L., and Andrade e Silva J. Applying the proportional hazard premium calculation principle. Astin Bulletin 35 (2005) 409-425
-
(2005)
Astin Bulletin
, vol.35
, pp. 409-425
-
-
Centeno, M.L.1
Andrade e Silva, J.2
-
5
-
-
33645029334
-
Confidence intervals for the tail index
-
Cheng S., and Peng L. Confidence intervals for the tail index. Bernoulli 7 (2001) 751-760
-
(2001)
Bernoulli
, vol.7
, pp. 751-760
-
-
Cheng, S.1
Peng, L.2
-
6
-
-
0002530923
-
Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation
-
Chernoff H., Gastwirth J.L., and Johns M.V. Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation. Annals of Mathematical Statistics 38 (1967) 52-72
-
(1967)
Annals of Mathematical Statistics
, vol.38
, pp. 52-72
-
-
Chernoff, H.1
Gastwirth, J.L.2
Johns, M.V.3
-
13
-
-
0001591373
-
On the estimation of the extreme-value index and large quantile estimation
-
Dekkers A.L.M., and de Haan L. On the estimation of the extreme-value index and large quantile estimation. Annals of Statistics 17 (1989) 1795-1832
-
(1989)
Annals of Statistics
, vol.17
, pp. 1795-1832
-
-
Dekkers, A.L.M.1
de Haan, L.2
-
14
-
-
0001760675
-
A moment estimator for the index of an extreme-value distribution
-
Dekkers A.L.M., Einmahl J.H.J., and de Haan L. A moment estimator for the index of an extreme-value distribution. Annals of Statistics 17 (1989) 1833-1855
-
(1989)
Annals of Statistics
, vol.17
, pp. 1833-1855
-
-
Dekkers, A.L.M.1
Einmahl, J.H.J.2
de Haan, L.3
-
15
-
-
0001080355
-
Optimal choice of sample fraction in extreme-value estimation
-
Dekkers A.L.M., and de Haan L. Optimal choice of sample fraction in extreme-value estimation. Journal of Multivariate Analysis 47 (1993) 173-195
-
(1993)
Journal of Multivariate Analysis
, vol.47
, pp. 173-195
-
-
Dekkers, A.L.M.1
de Haan, L.2
-
16
-
-
0001061726
-
Selection of the optimal sample fraction in univariate extreme value estimation
-
Drees H., and Kaufmann E. Selection of the optimal sample fraction in univariate extreme value estimation. Stochastic Processes and Applications 75 (1998) 149-195
-
(1998)
Stochastic Processes and Applications
, vol.75
, pp. 149-195
-
-
Drees, H.1
Kaufmann, E.2
-
17
-
-
0031232406
-
Second order regular variation, convolution and the Central limit theorem
-
Geluk J., de Haan L., Resnick S., and Starica C. Second order regular variation, convolution and the Central limit theorem. Stochastic Processes and Their Applications 69 (1997) 135-139
-
(1997)
Stochastic Processes and Their Applications
, vol.69
, pp. 135-139
-
-
Geluk, J.1
de Haan, L.2
Resnick, S.3
Starica, C.4
-
18
-
-
21644487570
-
Asymptotically best linear unbiased tail estimators under a second-order regular variation condition
-
Gomes M.I., Figueiredo F., and Mendonça S. Asymptotically best linear unbiased tail estimators under a second-order regular variation condition. Journal of Statistical Planning and Inference 134 (2005) 409-433
-
(2005)
Journal of Statistical Planning and Inference
, vol.134
, pp. 409-433
-
-
Gomes, M.I.1
Figueiredo, F.2
Mendonça, S.3
-
19
-
-
0005358897
-
Edgeworth expansions for linear combinations of order statistics
-
Amsterdam Mathematisch Centrum
-
Helmers R. Edgeworth expansions for linear combinations of order statistics. Mathematical Center Tracts vol. 105 (1982), Amsterdam Mathematisch Centrum
-
(1982)
Mathematical Center Tracts
, vol.105
-
-
Helmers, R.1
-
20
-
-
0001263124
-
A simple approach to inference about the tail of a distribution
-
Hill B.M. A simple approach to inference about the tail of a distribution. Annals of Statistics 3 (1975) 1136-1174
-
(1975)
Annals of Statistics
, vol.3
, pp. 1136-1174
-
-
Hill, B.M.1
-
22
-
-
67650071479
-
Estimating the mean of heavy-tailed distributions
-
Johansson J. Estimating the mean of heavy-tailed distributions. Extremes 6 (2003) 91-109
-
(2003)
Extremes
, vol.6
, pp. 91-109
-
-
Johansson, J.1
-
23
-
-
85011163899
-
Empirical estimation of risk measures and related quantities
-
Jones B.L., and Zitikis R. Empirical estimation of risk measures and related quantities. North American Actuarial Journal 7 (2003) 44-54
-
(2003)
North American Actuarial Journal
, vol.7
, pp. 44-54
-
-
Jones, B.L.1
Zitikis, R.2
-
24
-
-
33644869389
-
Testing for the order of risk measures: An application of L-statistics in actuarial science
-
Jones B.L., and Zitikis R. Testing for the order of risk measures: An application of L-statistics in actuarial science. Metron 63 (2005) 193-211
-
(2005)
Metron
, vol.63
, pp. 193-211
-
-
Jones, B.L.1
Zitikis, R.2
-
25
-
-
34447101114
-
Risk measures, distortion parameters, and their empirical estimation
-
Jones B.L., and Zitikis R. Risk measures, distortion parameters, and their empirical estimation. Insurance: Mathematics and Economics 41 (2007) 279-297
-
(2007)
Insurance: Mathematics and Economics
, vol.41
, pp. 279-297
-
-
Jones, B.L.1
Zitikis, R.2
-
26
-
-
0346665594
-
Asymptotic normality of linear combinations of order statistics with a smooth score function
-
Mason D.M. Asymptotic normality of linear combinations of order statistics with a smooth score function. Annals of Statistics 9 (1981) 899-908
-
(1981)
Annals of Statistics
, vol.9
, pp. 899-908
-
-
Mason, D.M.1
-
27
-
-
0000782528
-
Laws of the large numbers for sums of extreme values
-
Mason D.M. Laws of the large numbers for sums of extreme values. Annals of Probability 10 (1982) 754-764
-
(1982)
Annals of Probability
, vol.10
, pp. 754-764
-
-
Mason, D.M.1
-
28
-
-
0141573196
-
Estimating the extreme value index and high quantiles with exponential regression models
-
Matthys G., and Beirlant J. Estimating the extreme value index and high quantiles with exponential regression models. Statistica Sinica 13 (2003) 853-880
-
(2003)
Statistica Sinica
, vol.13
, pp. 853-880
-
-
Matthys, G.1
Beirlant, J.2
-
29
-
-
67650068365
-
Estimating the risk adjusted premium of the largest reinsurance covers
-
Antoch J. (Ed), Physica-Verlag, Springer. 3-7908-1554-3
-
Necir A., and Boukhetala K. Estimating the risk adjusted premium of the largest reinsurance covers. In: Antoch J. (Ed). Proceeding of Computational Statistics (2004), Physica-Verlag, Springer. 3-7908-1554-3 1577-1584
-
(2004)
Proceeding of Computational Statistics
, pp. 1577-1584
-
-
Necir, A.1
Boukhetala, K.2
-
30
-
-
28044440075
-
A functional law of the iterated logarithm for kernel type estimators of the tail index
-
Necir A. A functional law of the iterated logarithm for kernel type estimators of the tail index. Journal of Statistical Planning and Inference 136 (2006) 780-802
-
(2006)
Journal of Statistical Planning and Inference
, vol.136
, pp. 780-802
-
-
Necir, A.1
-
31
-
-
67650020188
-
Statistical estimate of the proportional hazard premium of loss
-
Necir A., Meraghni D., and Meddi F. Statistical estimate of the proportional hazard premium of loss. Scandinavian Actuarial Journal 3 (2007) 147-161
-
(2007)
Scandinavian Actuarial Journal
, vol.3
, pp. 147-161
-
-
Necir, A.1
Meraghni, D.2
Meddi, F.3
-
33
-
-
0041364621
-
Estimating the mean of a heavy-tailed distribution
-
Peng L. Estimating the mean of a heavy-tailed distribution. Statistic and Probability Letters 52 (2001) 255-264
-
(2001)
Statistic and Probability Letters
, vol.52
, pp. 255-264
-
-
Peng, L.1
-
34
-
-
84892205330
-
-
Birkhäuser Verlag, Basel, Boston, Berlin
-
Reiss R.-D., and Thomas M. Statistical Analysis of Extreme Values with Applications to Insurance, Finance, Hydrology and Other Fields. 3rd ed. (2007), Birkhäuser Verlag, Basel, Boston, Berlin
-
(2007)
Statistical Analysis of Extreme Values with Applications to Insurance, Finance, Hydrology and Other Fields. 3rd ed.
-
-
Reiss, R.-D.1
Thomas, M.2
-
35
-
-
0004189343
-
-
John Wiley & Sons, Chichester
-
Rolski T., Schimidli H., Schmidt V., and Teugels J.L. Stochastic Processes for Insurance and Finance (1999), John Wiley & Sons, Chichester
-
(1999)
Stochastic Processes for Insurance and Finance
-
-
Rolski, T.1
Schimidli, H.2
Schmidt, V.3
Teugels, J.L.4
-
36
-
-
0011624543
-
Asymptotic normality of linear combinations of function of order statistics
-
Shorack G.R. Asymptotic normality of linear combinations of function of order statistics. Annals of Mathematical Statistics 40 (1969) 2041-2050
-
(1969)
Annals of Mathematical Statistics
, vol.40
, pp. 2041-2050
-
-
Shorack, G.R.1
-
38
-
-
0001523476
-
Linear functions of order statistics with smooth weight functions
-
Stigler S. Linear functions of order statistics with smooth weight functions. Annals of Statistics 2 (1974) 676-693
-
(1974)
Annals of Statistics
, vol.2
, pp. 676-693
-
-
Stigler, S.1
-
39
-
-
33646495325
-
On univariate extreme value statistics and the estimation of reinsurance premiums
-
Vandewalle B., and Beirlant J. On univariate extreme value statistics and the estimation of reinsurance premiums. Insurance: Mathematics and Economics 38 (2006) 441-459
-
(2006)
Insurance: Mathematics and Economics
, vol.38
, pp. 441-459
-
-
Vandewalle, B.1
Beirlant, J.2
-
40
-
-
85011528623
-
Premium calculation by transforming the layer premium density
-
Wang S.S. Premium calculation by transforming the layer premium density. ASTIN Bulletin 26 (1996) 71-92
-
(1996)
ASTIN Bulletin
, vol.26
, pp. 71-92
-
-
Wang, S.S.1
-
41
-
-
84936167519
-
Estimation of parameters and large quantiles based on the k largest observations
-
Weissman I. Estimation of parameters and large quantiles based on the k largest observations. Journal of American Statistical Association 73 (1978) 812-815
-
(1978)
Journal of American Statistical Association
, vol.73
, pp. 812-815
-
-
Weissman, I.1
-
42
-
-
0002812608
-
Limit theorems for the ratio of the empirical distribution function to the true distribution function
-
Wellner J.A. Limit theorems for the ratio of the empirical distribution function to the true distribution function. Zeitschrift für Wahrscheinlichkeitstheorie und verwande Gebiete 45 (1978) 73-88
-
(1978)
Zeitschrift für Wahrscheinlichkeitstheorie und verwande Gebiete
, vol.45
, pp. 73-88
-
-
Wellner, J.A.1
-
43
-
-
0002569928
-
The dual theory of choice under risk
-
Yaari M.E. The dual theory of choice under risk. Econometrica 55 (1987) 95-115
-
(1987)
Econometrica
, vol.55
, pp. 95-115
-
-
Yaari, M.E.1
|