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glrt (version 2.0)

Linkfunc: A link function used in tests gLRT2, gLRT3, and gLRT4

Description

A link function over (0, 1) used in gLRT2, gLRT3, and gLRT4, which is a function of the original link function $\xi(x) = x log(x) x^\rho (1 - x)^\gamma.$

Usage

Linkfunc(x, rho = 0, gamma = 0)

Arguments

x
a value between 0 and 1
rho
a non-negative parameter in $[0, 1]$
gamma
a non-negative parameter in $[0, 1]$

Value

Function value is returned.

Details

This function $\eta(x)$ = $1 - \xi(1-x)$.

References

X. Zhao, Q. Zhao, J. Sun, Q. and J. S. Kim (2008), "Generalized Log-rank Tests for Partly Interval-Censored Failure Time Data", Biometrical Journal, 50 (3): 375-385.

See Also

LinkfuncDir

Examples

Run this code
Linkfunc(0.2, rho=0, gamma=1)

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