PiecewisePareto_PDF function

Density of the Piecewise Pareto Distribution

Density of the Piecewise Pareto Distribution

Calculates the density function of the piecewise Pareto distribution. This function is deprecated. Use dPiecewisePareto instead.

PiecewisePareto_PDF(x, t, alpha, truncation = NULL, truncation_type = "lp")

Arguments

  • x: Numeric. The function evaluates the density at x.
  • t: Numeric vector. Thresholds of the piecewise Pareto distribution.
  • alpha: Numeric vector. alpha[i] is the Pareto alpha in excess of t[i].
  • truncation: Numeric. If truncation is not NULL and truncation > t, then the distribution is truncated at truncation.
  • truncation_type: Character. If truncation_type = "wd" then the whole distribution is truncated. If truncation_type = "lp" then a truncated Pareto is used for the last piece.

Returns

Density function of the piecewise Pareto distribution with parameter vectors t and alpha evaluated at x

Examples

t <- c(1000, 2000, 3000)
alpha <- c(1, 1.5, 2)
x <- 0:10 * 1000
dPiecewisePareto(x, t, alpha)
dPiecewisePareto(x, t, alpha, truncation = 5000, truncation_type = "lp")
dPiecewisePareto(x, t, alpha, truncation = 5000, truncation_type = "wd")
Pareto packageRead PDF manual