Robust inference for generalized partially linear mixed models that account for censored responses and missing covariates - an application to Arctic data analysis

• Published in: Journal of applied statistics Vol. 41; no. 11; pp. 2418 - 2436
• Main Authors: Das, Kalyan, Sarkar, Angshuman
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02.11.2014; Taylor & Francis Ltd
• Subjects: Algorithms; Applied statistics; approximate method; Approximation; Asymptotic methods; B spline; bounded influence estimate; Computer simulation; Counting; Data processing; Error analysis; Estimates; M-estimation; Mathematical models; MCEM approach; Monte Carlo simulation; Parameter estimation; Studies
• ISSN: 0266-4763; 1360-0532
• DOI: 10.1080/02664763.2014.910886

In this article, we propose a family of bounded influence robust estimates for the parametric and non-parametric components of a generalized partially linear mixed model that are subject to censored responses and missing covariates. The asymptotic properties of the proposed estimates have been looked into. The estimates are obtained by using Monte Carlo expectation-maximization algorithm. An approximate method which reduces the computational time to a great extent is also proposed. A simulation study shows that performances of the two approaches are similar in terms of bias and mean square error. The analysis is illustrated through a study on the effect of environmental factors on the phytoplankton cell count.