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Original Articles

On generalized order statistics from generalized pareto distribution

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Pages 5682-5697 | Received 07 Oct 2015, Accepted 27 Mar 2016, Published online: 10 Mar 2017

References

  • Aboeleneen, Z. (2010). Inference for Weibull distribution under generalized order statistics. Mathematics and Computers in Simulation 81(1):26–36.
  • Alho, J., Spencer, B. (2006). Statistical Demography and Forecasting. Springer Series in Statistics. New York: Springer.
  • Ashkar, F., Ouarda, T. B. (1996). On some methods of fitting the generalized pareto distribution. Journal of Hydrology 177(12):117–141.
  • Barakat, H. (2011). On generalized order statistics and maximal correlation as a measure of dependence. Journal of the Egyptian Mathematical Society 19(12):28–32.
  • Barakat, H. (2012). The maximal correlation for the generalized order statistics and dual generalized order statistics. Arabian Journal of Mathematics 1(2):149–158.
  • Castillo, E., Hadi, A. S., Balakrishnan, N., Sarabia, J. (2005). Extreme Value and Related Models with Applications in Engineering and Science. Hoboken, NJ: Wiley.
  • Cover, T. M., Thomas, J. A. (2006). Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing). Hoboken, NJ: Wiley-Interscience.
  • de Zea Bermudez, P., Kotz, S. (2010a). Parameter estimation of the generalized pareto distribution, part I. Journal of Statistical Planning and Inference 140(6):1353–1373.
  • de Zea Bermudez, P., Kotz, S. (2010b). Parameter estimation of the generalized pareto distribution, part {II}. Journal of Statistical Planning and Inference 140(6):1374–1388.
  • Efron, B., Tibshirani, R. (1994). An Introduction to the Bootstrap. Monographs on Statistics & Applied Probability. London, UK: Chapman & Hall/CRC.
  • Embrechts, P., Klüppelberg, C., Mikosch, T. (2013). Modelling Extremal Events: for Insurance and Finance. Stochastic Modelling and Applied Probability. Berlin Heidelberg: Springer.
  • Embrechts, P., Schmidli, H. (1994). Modelling of Extremal Events in Insurance and Finance. Zeitschrift fr Operations Research 39(1):1–34.
  • Fisher, R. A. (1922). On the mathematical foundations of theoretical statistics. 222:309–368.
  • Granger, C. W., Maasoumi, E., Racine, J. (2004). A dependence metric for possibly nonlinear processes. Journal of Time Series Analysis 25(5):649–669.
  • Hall, P. (1988). Theoretical comparison of bootstrap confidence intervals. Annals of Statistics 16(3):927–953.
  • Jeffrey, A., Dai, H. (2008). Handbook of mathematical formulas and integrals. Amsterdam, Netherlands: Elsevier.
  • Kamps, U. (1995a). A Concept of Generalized Order Statistics. Teubner Skripten zur mathematischen Stochastik. B.G. Teubner. Berlin Heidelberg: Springer.
  • Kamps, U. (1995b). A concept of generalized order statistics. Journal of Statistical Planning and Inference 48(1):1–23.
  • Kuo, C.-S., Huang, C.-Y. (2010). A study of applying the bounded generalized pareto distribution to the analysis of software fault distribution. Proceedings of the 2010 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM 2010), pp. 611–615.
  • Lehmann, E., Casella, G. (2003). Theory of Point Estimation. Springer Texts in Statistics. New York: Springer.
  • Lin, C.-T., Wang, W.-Y. (2000). Estimation for the generalized pareto distribution with censored data. Communications in Statistics - Simulation and Computation 29(4):1183–1213.
  • Linfoot, E. (1957). An informational measure of correlation. Information and Control 1(1):85–89.
  • Pickands, J. (1975). Statistical inference using extreme order statistics. Ann. Statist. 3(1):119–131.
  • Robert, C., Casella, G. (2013). Monte Carlo Statistical Methods. Springer Texts in Statistics. New York: Springer.
  • Rubinstein, R., Kroese, D. (2011). Simulation and the Monte Carlo Method. Wiley Series in Probability and Statistics. Hoboken, NJ: Wiley.
  • Shannon, C. E. (2001). A mathematical theory of communication. Sigmobile Mobile Computing and Communications Review 5(1):3–55.
  • Silvey, S. D. (1964). On a measure of association. Annals of Mathematical Statistics 35(3):1157–1166.

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