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A Criterion for Local Model Selection

G. Avlogiaris (), A. C. Micheas () and K. Zografos ()
Additional contact information
G. Avlogiaris: University of Ioannina
A. C. Micheas: University of Missouri
K. Zografos: University of Ioannina

Sankhya A: The Indian Journal of Statistics, 2019, vol. 81, issue 2, No 7, 406-444

Abstract: Abstract In this paper, we introduce a class of local divergences between two probability distributions and illustrate its usefulness in model selection. Explicit expressions of the proposed local divergences are derived when the underlying distributions are members of the exponential family of distributions or they are described by multivariate normal models. In addition, a local model selection criterion, termed the local divergence information criterion (LDiv.IC), is proposed. Simulations and applications are presented in order to study and exemplify the performance of the proposed criterion.

Keywords: Model selection; AIC; Local divergence information criterion; Local model selection criterion; Local expected overall discrepancy; Local BHHJ power divergence; Mixture models; Point process theory; Primary 62B10; Secondary 62F99 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13171-018-0126-x

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