qpot function

Quantile function

Quantile function from the peaks-over-threshold model. utf8

qpot(p, pars, lower.tail=TRUE, log.p=FALSE)

Arguments

• p: vector of probabilities.
• pars: a numeric vector with the set of parameters of peaks-over-threshold model. The names of the elements have to be evi, psi, threshold, prob.
• lower.tail: logical; if TRUE (default), probabilities are $P[X \leq x]$ otherwise, $P[X > x]$.
• log.p: logical; if TRUE probabilities are given as log(p).

Returns

Quantile function as a numerical value.

References

del Castillo, J. and Padilla, M. (2016). Modeling extreme values by the residual coefficient of variation. SORT Statist. Oper. Res. Trans. 40 (2), 303-320.

del Castillo, J. and Serra, I. (2015). Likelihood inference for Generalized Pareto Distribution. Computational Statistics and Data Analysis, 83 , 116-128.

del Castillo, J., Daoudi, J. and Lockhart, R. (2014). Methods to Distinguish Between Polynomial and Exponential Tails. Scandinavian Journal of Statistics, 41 , 382-393.

Author(s)

Joan del Castillo, David Moriña Soler and Isabel Serra

See Also

ercv-package, cievi, ccdfplot, cvevi, cvplot, evicv, fitpot, ppot, tdata, thrselect, Tm

Examples

qpot(0.1, c(evi=0.1, psi=0.2, threshold=0.3, prob=0.4), lower.tail=FALSE)

x<-runif(10000)
x<-c(x^-1,x)
pars<-fitpot(x,1)
qpot(0.5/10,pars$coeff,lower.tail=FALSE) #the true value is 10