quasi_sym {cquad}

Recursive computation of the conditional likelihood for the Quadratic Exponential Model proposed in Bartolucci & Nigro (2010)

Description

Recursively compute the denominator of the individual conditional likelihood function for the Quadratic Exponential Model, adapted from Krailo & Pike (1984).

Usage

quasi_sym(eta,s,dyn=FALSE,y0=NULL)

Arguments

eta

individual vector of products between covariate and parameters

s

total score of the individual

dyn

TRUE if in the dynamic version; FALSE for the static version (by default)

y0

Individual initial observation for dynamic models

Value

f

value of the denominator

d1

first derivative of the recursive function

dl1

a component of the score function

D2

second derivative of the recursive function

Dl2

a component of the Hessian matrix

Author(s)

Francesco Bartolucci (University of Perugia), Claudia Pigini (University of Ancona "Politecnica delle Marche"), Francesco Valentini (University of Ancona "Politecnica delle Marche")

References

Bartolucci, F. and Nigro, V. (2010), A dynamic model for binary panel data with unobserved heterogeneity admitting a root-n consistent conditional estimator, Econometrica, 78, 719-733.

Bartolucci, F., Valentini. F., & Pigini, C. (2021), Recursive Computation of the Conditional Probability Function of the Quadratic Exponential Model for Binary Panel Data, Computational Economics, https://doi.org/10.1007/s10614-021-10218-2.

Krailo, M. D., & Pike, M. C. (1984). Algorithm AS 196: conditional multivariate logistic analysis of stratified case-control studies, Journal of the Royal Statistical Society. Series C (Applied Statistics), 33(1), 95-103.