l1-l4, lw, lwF, gx {NPHazardRate}

Weibull hazard rate functionals

Description

Privides the various hazard rate function derivatives and related functionals with reference to the Weibull function

Usage

l1(x,p,l)
l2(x,p,l)
l3(x,p,l)
l4(x,p,l)
lw(x,p,l)
lwF(x,p,l)
gx(x,p,l)

Arguments

x

A vector of points at which the hazard rate function will be estimated.

p

MLE estimate of the shape parameter

l

MLE estimate of the scale parameter

Details

Implements the necessary functions for calculating the squared bias term of the variable bandwidth estimate.

Value

A vector with the values of the function at the designated points x.

References

Bagkavos and Patil (2009), Variable Bandwidths for Nonparametric Hazard Rate Estimation, Communications in Statistics - Theory and Methods, 38:7, 1055-1078