论文信息 - Burr regression and portfolio segmentation

Burr regression and portfolio segmentation

Abstract Two Burr regression models are proposed. These models extend existing log-logistic regression models. An algorithm for computing the maximum likelihood estimators is proposed. Graphical techniques for model validation are incorporated. An actuarial application to portfolio segmentation for fire insurance is included.

[1] Jerald F. Lawless,et al. Statistical Models and Methods for Lifetime Data. , 1983 .

[2] Ralph A. Bradley,et al. The asymptotic properties of ML estimators when sampling from associated populations , 1962 .

[3] N. L. Johnson,et al. Continuous Univariate Distributions. , 1995 .

[4] I. W. Burr. Cumulative Frequency Functions , 1942 .

[5] Robert N. Rodriguez. A guide to the Burr type XII distributions , 1977 .

[6] J. Teugels,et al. Practical Analysis of Extreme Values , 1996 .

[7] B. Hoadley. Asymptotic Properties of Maximum Likelihood Estimators for the Independent Not Identically Distributed Case , 1971 .

[8] D. R. Wingo,et al. Maximum Likelihood Methods for Fitting the Burr Type XII Distribution to Life Test Data , 1983 .

[9] J. Teugels,et al. Tail Index Estimation, Pareto Quantile Plots, and Regression Diagnostics , 1996 .