Influence diagnostics in possibly asymmetric circular-linear multivariate regression models

Shuangzhe LIU, Tiefeng Ma, Ashis SenGupta, Kunio Shimizu, Minzhen Wang

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    Abstract

    Distributional studies and regression models have played important roles in statistical analysis of circular data. Asymmetric circular-linear multivariate regression models (SenGupta and Ugwuowo Environ. Ecol. Stat. 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 J. R. Stat. Soc. Ser. B Stat Methodol. 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.

    Original languageEnglish
    Pages (from-to)76-93
    Number of pages18
    JournalSankhya: The Indian Journal of Statistics
    Volume79B
    DOIs
    Publication statusPublished - 2017

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