L2-tests for sparse multinomials

Hannelore Liero

Statistics & Probability Letters, 2001, vol. 55, issue 2, 147-158

Abstract: We consider the problem of testing cell probabilities in sparse multinomial data sets. The first test statistic is the sum of squares of differences between the hypothetical cell probabilities and the relative cell frequencies. For the second test we use the differences between smoothed hypothetical cell probabilities and smoothed cell frequencies. A comparison of both tests with respect to the behavior of their power under local alternatives shows that for sparse data the test based on the smoothed estimators is better.

Keywords: Sparse; data; Local; polynomial; estimators; Testing; cell; probabilities; Power; Limit; theorems; for; sparse; data (search for similar items in EconPapers)
Date: 2001
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