Journal
ENTROPY
Volume 20, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/e20050329
Keywords
minimum penalized phi-divergence estimator; consistency; asymptotic normality; goodness-of-fit; bootstrap distribution estimator; thematic quality assessment
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Funding
- Spanish Ministry of Economy and Competitiveness [CTM2015-68276-R]
- Spanish Ministry of Economy, Industry and Competitiveness, ERDF [MTM2017-89422-P]
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This paper focuses on the consequences of assuming a wrong model for multinomial data when using minimum penalized phi-divergence, also known as minimum penalized disparity estimators, to estimate the model parameters. These estimators are shown to converge to a well-defined limit. An application of the results obtained shows that a parametric bootstrap consistently estimates the null distribution of a certain class of test statistics for model misspecification detection. An illustrative application to the accuracy assessment of the thematic quality in a global land cover map is included.
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