Semiparametric Multinomial Logistic Regression for Multivariate Point Pattern Data
نویسندگان
چکیده
We propose a new method for analysis of multivariate point pattern data observed in heterogeneous environment and with complex intensity functions. suggest semiparametric models the functions that depend on an unspecified factor common to all types points. This is example well suited analyzing spatial covariate effects events such as street crime activities occur urban environment. A multinomial conditional composite likelihood function introduced estimation regression parameters asymptotic joint distribution resulting estimators derived under mild conditions. Crucially, covariance matrix depends ratios cross pair correlation process. To make valid statistical inference without restrictive assumptions, we construct consistent nonparametric these ratios. Finally, standardized residual plots, predictive probability plots validate visualize findings model. The effectiveness proposed methodology demonstrated through extensive simulation studies application socio-economic demographical variables occurrences crimes Washington DC. Supplementary materials this article are available online.
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ژورنال
عنوان ژورنال: Journal of the American Statistical Association
سال: 2021
ISSN: ['0162-1459', '1537-274X', '2326-6228', '1522-5445']
DOI: https://doi.org/10.1080/01621459.2020.1863812