A new class of minimum power divergence estimators with applications to cancer surveillance

作者：Martin Nirian^*; Li Yi

来源：Journal of Multivariate Analysis, 2011, 102(8): 1175-1193.

DOI：10.1016/j.jmva.2011.03.011

• Minimum power divergence estimators
• Age-adjusted cancer rates
• Annual percent change (APC)
• Trends
• Poisson sampling

The annual percent change (APC) has been adopted as a useful measure for analyzing the changing trends of cancer mortality and incidence rates by the NCI SEER program. Difficulties, however, arise when comparing the sample APCs between two overlapping regions because of induced dependence (e.g., comparing the cancer mortality change rate of California with that of the national level). This paper deals with a new perspective for understanding the sample distribution of the test-statistics for comparing the APCs between overlapping regions. Our proposal allows for computational readiness and easy interpretability. We further propose a more general family of estimators, namely, the so-called minimum Power divergence estimators, including the maximum likelihood estimators as a special case. Our simulation experiments support the superiority of the proposed estimator to the conventional maximum likelihood estimator.

• 出版日期2011-9