f.YZK.Weibull: Joint density function for two conditionally Weibull random...

In mbannick/survDeconvolution: Survival Deconvolution

Description

X \sim Weibull(shape=p_{x}, rate=λ_{x} \cdot k^{p_{x}})
Y \sim Weibull(shape=p_{y}, rate=λ_{y} \cdot k^{p_{y}})
Z := X + Y \to X = Z - Y
K \sim Gamma(shape=gamma_shape, rate=gamma_rate)

Usage

f.YZK.Weibull(k, y, z, parameters_x, parameters_y, gamma_shape, gamma_rate)

Arguments

k	A number or vector, the frailty term, K = k
y	A number, value of Y = y
z	A number, value of Z = z
parameters_x	A list, with an element named lambda (λ_x), and an element named p (p_x).
parameters_y	A list, with an element lambda (λ_y), and an element named p (p_y).
gamma_shape	A number, the shape parameter of Gamma frailty distribution
gamma_rate	A number, the rate parameter of Gamma frailty distribution

Value

joint density function evaluated at K=k, Y=y, and X=z-y.

mbannick/survDeconvolution documentation built on Sept. 30, 2020, 9:22 a.m.