R/SingleParameterPareto.R

In actuar: Actuarial Functions and Heavy Tailed Distributions

### actuar: Actuarial Functions and Heavy Tailed Distributions
###
### Definition of the {d,p,q,r,m,lev}single-parameter pareto
### functions. The single-parameter Pareto distribution used in these
### functions has cumulative distribution function
###
###   Pr[X <= x] = 1 - (min/x)^shape, x > 0.
###
### See Appendix A of Klugman, Panjer & Willmot, Loss Models, Wiley.
###
### AUTHORS:  Mathieu Pigeon, Vincent Goulet <vincent.goulet@act.ulaval.ca>

dpareto1 <- function (x, shape, min, log = FALSE)
    .External(C_actuar_do_dpq, "dpareto1", x, shape, min, log)

ppareto1 <- function(q, shape, min, lower.tail = TRUE, log.p = FALSE)
    .External(C_actuar_do_dpq, "ppareto1", q, shape, min, lower.tail, log.p)

qpareto1 <- function(p, shape, min, lower.tail = TRUE, log.p = FALSE)
    .External(C_actuar_do_dpq, "qpareto1", p, shape, min, lower.tail, log.p)

rpareto1 <- function(n, shape, min)
    .External(C_actuar_do_random, "rpareto1", n, shape, min)

mpareto1 <- function(order, shape, min)
     .External(C_actuar_do_dpq, "mpareto1", order, shape, min, FALSE)

levpareto1 <- function(limit, shape, min, order = 1)
     .External(C_actuar_do_dpq, "levpareto1", limit, shape, min, order, FALSE)