The SEVERITY Procedure

References

  • D’Agostino, R. and Stephens, M. (1986), Goodness-of-Fit Techniques, New York: Marcel Dekker, Inc.

  • Danielsson, J., De Haan, L., Peng, L., and de Vries, C. G. (2001), “Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation,” Journal of Multivariate Analysis, 76, 226–248.

  • Dunn, P. K. and Smyth, G. K. (2005), “Series Evaluation of Tweedie Exponential Dispersion Model Densities,” Statistics and Computing, 15(4), 267–280.

  • Frydman, H. (1994), “A Note on Nonparametric Estimation of the Distribution Function from Interval-Censored and Truncated Observations,” Journal of Royal Statistical Society, Series B, 56(1), 71–74.

  • Gentleman, R. and Geyer, C. J. (1994), “Maximum Likelihood for Interval Censored Data: Consistency and Computation,” Biometrika, 81(3), 618–623.

  • Greenwood, M. (1926), “The Natural Duration of Cancer,” Reports of Public Health and Related Subjects, Her Majesty’s Stationery Office, 33m 1–26.

  • Hill, B. M. (1975), “A Simple General Approach to Inference about the Tail of a Distribution,” Annals of Statistics, 3(5), 1163–1174.

  • Jørgensen, B. (1987), “Exponential Dispersion Models (with discussion),” Journal of Royal Statistical Society, Series B, 49(2), 127–162.

  • Kaplan, E. L. and Meier, P. (1958), “Nonparametric Estimation from Incomplete Observations,” Journal of American Statistical Association, 53, 457–481.

  • Klein, J. P. and Moeschberger, M. L. (1997), Survival Analysis: Techniques for Censored and Truncated Data, New York: Springer-Verlag.

  • Klugman, S. A., Panjer, H. H., Willmot, G. E. (1998), Loss Models: From Data to Decisions, New York: John Wiley & Sons.

  • Koziol, J. A. and Green, S. B. (1976), “A Cramér-von Mises Statistic for Randomly Censored Data,” Biometrika, 63, 466–474.

  • Lai, T. L. and Ying, Z. (1991), “Estimating A Distribution Function with Truncated and Censored Data,” Annals of Statistics, 19(1), 417–442.

  • Lynden-Bell, D. (1971), “A Method of Allowing for Known Observational Selection in Small Samples Applied to 3CR Quasars,” Monthly Notices of the Royal Astronomical Society, 155, 95–118.

  • Turnbull, B. W. (1976), “The Empirical Distribution Function with Arbitrarily Grouped, Censored, and Truncated Data,” Journal of Royal Statistical Society, Series B, 38, 290–295.

  • Tweedie, M. C. K. (1984), “An Index Which Distinguishes between Some Important Exponential Families,” Statistics: Applications and New Directions, Proceedings of the Indian Statistical Institute Golden Jubilee International Conference, J. K. Ghosh and J. Roy (Eds.), 579–604.