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http://dx.doi.org/10.29220/CSAM.2022.29.3.301

Modified information criterion for testing changes in generalized lambda distribution model based on confidence distribution  

Ratnasingam, Suthakaran (Department of Mathematics, California State University San Bernardino)
Buzaianu, Elena (Department of Mathematics and Statistics, University of North Florida)
Ning, Wei (Department of Mathematics and Statistics, Bowling Green State University)
Publication Information
Communications for Statistical Applications and Methods / v.29, no.3, 2022 , pp. 301-317 More about this Journal
Abstract
In this paper, we propose a change point detection procedure based on the modified information criterion in a generalized lambda distribution (GLD) model. Simulations are conducted to obtain empirical critical values of the proposed test statistic. We have also conducted simulations to evaluate the performance of the proposed methods comparing to the log-likelihood method in terms of power, coverage probability, and confidence sets. Our results indicate that, under various conditions, the proposed method modified information criterion (MIC) approach shows good finite sample properties. Furthermore, we propose a new goodness-of-fit testing procedure based on the energy distance to evaluate the asymptotic null distribution of our test statistic. Two real data applications are provided to illustrate the use of the proposed method.
Keywords
change-point; modified information criterion; generalized lambda distribution;
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Times Cited By KSCI : 1  (Citation Analysis)
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