Publications [#336574] of Kenneth C. Land

Papers Published

1. Fu, Q; Guo, X; Land, KC, A Poisson-multinomial mixture approach to grouped and right-censored counts, Communications in Statistics Theory and Methods, vol. 47 no. 2 (January, 2018), pp. 427-447, Informa UK Limited [doi]
   (last updated on 2025/06/15)

   Abstract:
   Although count data are often collected in social, psychological, and epidemiological surveys in grouped and right-censored categories, there is a lack of statistical methods simultaneously taking both grouping and right-censoring into account. In this research, we propose a new generalized Poisson-multinomial mixture approach to model grouped and right-censored (GRC) count data. Based on a mixed Poisson-multinomial process for conceptualizing grouped and right-censored count data, we prove that the new maximum-likelihood estimator (MLE-GRC) is consistent and asymptotically normally distributed for both Poisson and zero-inflated Poisson models. The use of the MLE-GRC, implemented in an R function, is illustrated by both statistical simulation and empirical examples. This research provides a tool for epidemiologists to estimate incidence from grouped and right-censored count data and lays a foundation for regression analyses of such data structure.