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Consistency of various divergence statistics

Typ:
Research report
Authors:
Vajda I., Harremoës P.
Name of edition:
Research Report
Article number:
2218
Publisher:
ÚTIA AV ČR
Serie:
Praha
Year:
2008
Keywords:
Divergence measures, Divergence statistics, Power divergence
Anotation:
Divergence statistics for testing the hypothesis of uniformity in a sequence of multinomial distributions are studied. Special attention is devoted to the power divergence statistics of arbitrary real degrees. Sufficient conditions for consistency of these statistics are established, with applications in the Bahadur asymptotic efficiency among others.
 
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