f_gg: Joint PDF Under GG Assumption

In matthew-seth-smith/replicateOutliers: Outlier Detection Methods for Replicated Data

Description

This function is the joint CDF of Delta and Zeta assuming the underlying data X_1 and X_2 follow independent (and possibly identically distributed) GG distributions. We use the parameterization used by the R package flexsurv, given by Kotz and Johnson (1970).

Usage

f_gg(d, z, a_1, b_1, c_1, a_2, b_2, c_2)

Arguments

d	The absolute difference between two replicates
z	The coefficient of variation (CV) between two replicates
a_1	The parameter alpha > 0 in the GG distribution for X_1
b_1	The parameter beta > 0 in the GG distribution for X_1
c_1	The parameter c > 0 in the GG distribution for X_1
a_2	The parameter alpha > 0 in the GG distribution for X_2
b_2	The parameter beta > 0 in the GG distribution for X_2
c_2	The parameter c > 0 in the GG distribution for X_2

Value

The joint PDF of observing Delta = d and Zeta = z, to be integrated to get useful probabilities

matthew-seth-smith/replicateOutliers documentation built on Jan. 24, 2020, 9:34 p.m.