R/InversePareto.R
In actuar: Actuarial Functions and Heavy Tailed Distributions

Documented in dinvpareto levinvpareto minvpareto pinvpareto qinvpareto rinvpareto

### actuar: Actuarial Functions and Heavy Tailed Distributions
###
### Definition of the {d,p,q,r,m}invpareto functions to compute
### characteristics of the Inverse Pareto distribution. The version
### used in these functions has cumulative distribution function
###
###   Pr[X <= x] = (x/(x + scale))^shape, x > 0.
###
### See Appendix A of Klugman, Panjer & Willmot, Loss Models, Wiley.
###
### AUTHORS:  Mathieu Pigeon, Vincent Goulet <vincent.goulet@act.ulaval.ca>

dinvpareto <- function(x, shape, scale, log = FALSE)
     .External(C_actuar_do_dpq, "dinvpareto", x, shape, scale, log)

pinvpareto <- function(q, shape, scale, lower.tail = TRUE, log.p = FALSE)
    .External(C_actuar_do_dpq, "pinvpareto", q, shape, scale, lower.tail, log.p)

qinvpareto <- function(p, shape, scale, lower.tail = TRUE, log.p = FALSE)
     .External(C_actuar_do_dpq, "qinvpareto", p, shape, scale, lower.tail, log.p)

rinvpareto <- function(n, shape, scale)
     .External(C_actuar_do_random, "rinvpareto", n, shape, scale)

minvpareto <- function(order, shape, scale)
     .External(C_actuar_do_dpq, "minvpareto", order, shape, scale, FALSE)

levinvpareto <- function(limit, shape, scale, order = 1)
     .External(C_actuar_do_dpq, "levinvpareto", limit, shape, scale, order, FALSE)