dpareto2_estimate_mle {agop}

Parameter Estimation in the Discretized Pareto-Type II Distribution Family (MLE)

Description

Finds the maximum likelihood estimator of the Discretized Pareto Type-II distribution's shape parameter k and scale parameter s.

Usage

dpareto2_estimate_mle(
  x,
  k0 = 1,
  s0 = 1,
  kmin = 1e-04,
  smin = 1e-04,
  kmax = 100,
  smax = 100
)

Arguments

x

a non-negative numeric vector

k0, s0

initial points for the L-BFGS-B method

kmin, kmax

lower and upper bound for the shape parameter

smin, smax

lower and upper bound for the scale parameter

Details

Note that the maximum of the likelihood function might not exist for some input vectors. This estimator may have a large mean squared error.

Value

Returns a numeric vector with the following named components:

• k - estimated parameter of shape

• s - estimated parameter of scale

or c(NA, NA) if the maximum of the likelihood function could not be found.

See Also

Other DiscretizedPareto2: rdpareto2()