Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series A, Pt. 3, 626--639

DIAGNOSTICS FOR THE HOMOGENEITY OF INCLUSION PROBABILITIES IN A BERNOULLI CENSUS

By

CHANG XUAN MAO University of California, Berkeley, USA
and
BRUCE G. LINDSAY Pennsylvania State University, USA

SUMMARY. In a Bernoulli census, the inclusion probabilities often vary with individuals. The dispersion score test is applied to test homogeneity of inclusion probabilities. Three graphic diagnostics, the log ratio plot, residual plot and gradient plot, are used to detect the existence of heterogeneity. Confidence bands are available for all three plots. Real data examples are studied as illustration.

AMS (1991) subject classification}. 62G10, 62P10, 62P25.

Key words and phrases. Binomial mixture, capture-recapture, conditional likelihood, graphic diagnostics, number of species, population size.

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