bftprimeprimeprime

\(B'''(x) = 1/(4*\tanh(x/2)*\sinh(x/2)^2) - 2/x^3\)
used Taylor series expansion for x near 0 for stability

Provides functions for cobin and micobin regression models, a new family of generalized linear models for continuous proportional data (Y in the closed unit interval [0, 1]). It also includes an exact, efficient sampler for the Kolmogorov-Gamma random variable. For details, see Lee et al. (2025+) <doi:10.48550/arXiv.2504.15269>.

Changwoo Lee

cobin

Cobin and Micobin Regression Models for Continuous Proportional
Data

Benjamin Dahl

Otso Ovaskainen

David Dunson

bftprimeprimeprime function

<dl><dt>x</dt>
<dd>input vector</dd></dl>

Arguments

Third derivative of cobin cumulant (log partition) function — bftprimeprimeprime

<dl>

<dt>x</dt>
<dd>input vector</dd>

</dl>

bftprimeprimeprime: Third derivative of cobin cumulant (log partition) function

Description

Usage

Value

Arguments