Seminar at SMU Delhi
September 24, 2014 (Wednesday) ,
3:30 PM at Webinar
Speaker:
Ishapathik Das,
Kumaun University, Almora
Title:
On generalized multinomial models and joint percentile estimation
Abstract of Talk
This article proposes a family of link functions for the multinomial response model. The link
family includes the multicategorical logistic link as one of its members. Conditions for the local
orthogonality of the link and the regression parameters are given. It is shown that local
orthogonality of the parameters in a neighbourhood makes the link family location and scale
invariant. Confidence regions for jointly estimating the percentiles based on the parametric
family of link functions are also determined. A numerical example based on a combination drug
study is used to illustrate the proposed parametric link family and the confidence regions for
joint percentile estimation.
Keywords: confidence regions, multicategorical logistic link, parameter orthogonality,
standardization.