kppmenet: combining the kppm and elastic net regularization for inhomogeneous Cox point process with correlated covariates

Achmad Choiruddin*, Tabita Yuni Susanto, Ahmad Husain, Yuniar Mega Kartikasari

*Corresponding author for this work

Research output: Contribution to journalComment/debate

Abstract

The (Formula presented.) is a standard procedure to estimate the parameters of the inhomogeneous Cox point process. However, the procedure cannot handle the problem when the models involve correlated covariates. In this study, we develop the (Formula presented.), the modified version of the (Formula presented.), for the inhomogeneous Cox point process involving correlated covariates by considering elastic net regularization. We compare the methodology in a simulation study and apply it to model major-shallow earthquake distribution in Sumatra, Indonesia. We conclude that the (Formula presented.) outperforms (Formula presented.) when correlated covariates are involved.

Original languageEnglish
Pages (from-to)993-1006
Number of pages14
JournalJournal of Applied Statistics
Volume51
Issue number5
DOIs
Publication statusPublished - 2024

Keywords

  • Earthquake modelling
  • lasso
  • natural disaster
  • spatial point process
  • spatstat R package

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