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Original Articles

The method of moments ratio estimator for the tail shape parameter

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Pages 711-720 | Published online: 27 Jun 2007

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Helena Penalva, M. Ivette Gomes, Frederico Caeiro & M. Manuela Neves. (2020) Lehmer's mean-of-order-p extreme value index estimation: a simulation study and applications. Journal of Applied Statistics 47:13-15, pages 2825-2845.
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Yannick Hoga. (2019) Confidence Intervals for Conditional Tail Risk Measures in ARMA–GARCH Models. Journal of Business & Economic Statistics 37:4, pages 613-624.
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L. Ramprasath. (2017) Role of stylized features in constructing better estimators. Communications in Statistics - Theory and Methods 46:15, pages 7612-7620.
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V. Paulauskas & M. Vaičiulis. (2017) Comparison of the several parameterized estimators for the positive extreme value index. Journal of Statistical Computation and Simulation 87:7, pages 1342-1362.
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A. Dematteo & S. Clémençon. (2016) On tail index estimation based on multivariate data. Journal of Nonparametric Statistics 28:1, pages 152-176.
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Stefan Mittnik, Marc S. Paolella & Svetlozar T. Rachev. (1998) A tail estimator for the index of the stable paretian distribution . Communications in Statistics - Theory and Methods 27:5, pages 1239-1262.
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Articles from other publishers (27)

Frederico Caeiro & Ayana Mateus. (2024) Reduced bias estimation of the shape parameter of the log-logistic distribution. Journal of Computational and Applied Mathematics 436, pages 115347.
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E. Ocran, R. Minkah, G. Kallah-Dagadu & K. Doku-Amponsah. (2022) Estimation of the Tail Index of Pareto-Type Distributions Using Regularisation. Journal of Mathematics 2022, pages 1-16.
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Ayana Mateus & Frederico Caeiro. (2022) Improved Shape Parameter Estimation for the Three-Parameter Log-Logistic Distribution. Computational and Mathematical Methods 2022, pages 1-13.
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Natalia M. Markovich & Udo R. Krieger. 2020. Distributed Computer and Communication Networks. Distributed Computer and Communication Networks 282 297 .
Igor Rodionov. 2020. Nonparametric Statistics. Nonparametric Statistics 445 455 .
Yannick Hoga. (2018) Detecting Tail Risk Differences in Multivariate Time Series. Journal of Time Series Analysis 39:5, pages 665-689.
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H. M. Barakat, E. M. Nigm, O. M. Khaled & H. A. Alaswed. (2017) The estimations under power normalization for the tail index, with comparison. AStA Advances in Statistical Analysis 102:3, pages 431-454.
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Mofei Jia, Emanuele Taufer & Maria Michela Dickson. (2018) Semi-parametric regression estimation of the tail index. Electronic Journal of Statistics 12:1.
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Yannick Hoga. (2016) CHANGE POINT TESTS FOR THE TAIL INDEX OF β -MIXING RANDOM VARIABLES . Econometric Theory 33:4, pages 915-954.
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H.M. Barakat, E.M. Nigm & H.A. Alaswed. (2017) The Hill estimators under power normalization. Applied Mathematical Modelling 45, pages 813-822.
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Vygantas Paulauskas & Marijus Vaičiulis. (2015) A class of new tail index estimators. Annals of the Institute of Statistical Mathematics 69:2, pages 461-487.
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Yannick Hoga & Dominik Wied. (2017) Sequential monitoring of the tail behavior of dependent data. Journal of Statistical Planning and Inference 182, pages 29-49.
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Yannick Hoga. (2017) Testing for changes in (extreme) VaR. The Econometrics Journal 20:1, pages 23-51.
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Vygantas Paulauskas & Marijus Vaičiulis. (2013) On an improvement of Hill and some other estimators. Lithuanian Mathematical Journal 53:3, pages 336-355.
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Wendy Ling Shinyie, Noriszura Ismail & Abdul Aziz Jemain. (2013) Semi-parametric Estimation for Selecting Optimal Threshold of Extreme Rainfall Events. Water Resources Management 27:7, pages 2325-2352.
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Serguei Novak. 2011. Extreme Value Methods with Applications to Finance. Extreme Value Methods with Applications to Finance 351 368 .
Margarida Brito & Ana Cristina Moreira Freitas. (2010) Consistent estimation of the tail index for dependent data. Statistics & Probability Letters 80:23-24, pages 1835-1843.
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V. Pisarenko & D. Sornette. (2006) New statistic for financial return distributions: Power-law or exponential?. Physica A: Statistical Mechanics and its Applications 366, pages 387-400.
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Niklas Wagner & Terry A. Marsh. (2004) Tail index estimation in small smaples Simulation results for independent and ARCH-type financial return models. Statistical Papers 45:4, pages 545-561.
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Patrice Bertail, Christian Haefke, Dimitris N. Politis & Halbert White. (2004) Subsampling the distribution of diverging statistics with applications to finance. Journal of Econometrics 120:2, pages 295-326.
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Zoi Tsourti & John Panaretos. (2004) Extreme-value analysis of teletraffic data. Computational Statistics & Data Analysis 45:1, pages 85-103.
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Tomasz J. Kozubowski, Anna K. Panorska & Svetlozar T. Rachev. 2003. Handbook of Heavy Tailed Distributions in Finance. Handbook of Heavy Tailed Distributions in Finance 131 167 .
Dennis W. Jansen, Kees G. Koedijk & Casper G. de Vries. (2000) Portfolio selection with limited downside risk. Journal of Empirical Finance 7:3-4, pages 247-269.
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S. Mittnik & M.S. Paolella. (1999) A simple estimator for the characteristic exponent of the stable Paretian distribution. Mathematical and Computer Modelling 29:10-12, pages 161-176.
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WARREN HOGAN. (2010) VALUE‐AT‐RISK ASSESSMENTS FOR BANKS AND OTHER PARTICIPANTS IN FINANCIAL MARKETS. Economic Papers: A journal of applied economics and policy 17:2, pages 83-96.
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Sándor Csörgő & László Viharos. 1998. Asymptotic Methods in Probability and Statistics. Asymptotic Methods in Probability and Statistics 833 881 .
Zoi Tsourti & John Panaretos. (2001) Extreme Value Index Estimators and Smoothing Alternatives: Review and Simulation Comparison. SSRN Electronic Journal.
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