Choiruddin A, Yuni Susanto T, Husain A, Mega Kartikasari Y. kppmenet: combining the kppm and elastic net regularization for inhomogeneous Cox point process with correlated covariates.
J Appl Stat 2023;
51:993-1006. [PMID:
38524796 PMCID:
PMC10956919 DOI:
10.1080/02664763.2023.2207786]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/22/2022] [Accepted: 04/19/2023] [Indexed: 03/26/2024]
Abstract
The kppm 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 kppmenet , the modified version of the kppm , 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 kppmenet outperforms kppm when correlated covariates are involved.
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