The first and the second e of the extreme value distribution, EV1
暂无分享,去创建一个
In the peak over threshold model resulting in the Extreme-value distribution, type I, (EV1) the firste of the distribution function is based on the Poisson number of exceedances, and the seconde arises from the Exponentially distributed magnitudes.This paper, on the one hand, generalises the Poisson model to the (positive and negative) Binomial distribution, and, on the other hand, the Exponential distribution is generalised to the Generalised Pareto distribution. Lack of fit with respect to the Poisson and Exponential distribution is measured by statistics derived from those which would be locally most powerful if the estimates of the location and scale parameter were equal to the true parameter values. Ways of combining both statistics are discussed.
[1] M. Ivette Gomes,et al. Statistical choice of extremal models for complete and censored data , 1985 .
[2] J. Tiago de Oliveira,et al. Statistical Choice of Univariate Extreme Models , 1981 .