Title: Influence Diagnostics in Possibly Asymmetric Circular-Linear Multivariate Regression Models

Author(s): S. Liu, T. Ma, A. SenGupta K. Shimizu and M.-Z. Wang
Issue: Volume 79 Series B Part 1 Year 2017
Pages: 76 -- 93
Distributional studies and regression models have played important roles in statistical analysis of circular data. Asymmetric circular-linear multivariate regression models (SenGupta and Ugwuowo ${\it Environ. Ecol. Stat.}$ ${\bf 13}$(3), 299-309, 2006) are motivated by and applied to predict some environmental characteristics based on both circular and linear predictors. In this paper, we consider a likelihood approach (Cook ${\it J. R. Stat. Soc. Ser. B \ Stat \ Methodol.}$ ${\bf 48}$(2), 133-169, 1986) to study influence diagnostic analysis for these models, using the maximum likelihood estimation and influence diagnostics methods. The observed information matrices and normal curvatures are derived. Simulated and real data examples are then provided to illustrate our approach and establish the utility of our results.
AMS (2000) subject classification . 62J20; 62J05.
Keywords and phrases: Angular-linear dependency, Maximum likelihood es- timation, Simulation study, Solar energy data.