Study of Path Analysis of Causal Systems with generalized Linear Models

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In this research project, the following topics were studied: (i) path analysis of causal systems with categorical; and (ii) the infection system of Human T-cell Leukemia Virus Type I (HTLV-I). In (i), a path analysis with logit models, effect analysis of factors in a causal system, and properties of generalized linear and canonical exponential models in entropy were investigated. These results were published in Eshima, N & Tabata, M (1999, Behaviormetrika, 26, 221-233), Eshima, N et al. (2001, Journal of the Japan Statistical Society, 31, 1-14), and Eshima, et al. (2001, Journal of Japan Statistical Society, 31, 15-26). In (ii), population dynamics of HTLV-I was considered with a continuous-time model and a discrete-time one. The necessary and sufficient condition of extinction of the virus in a population was given. The results were published in Eshima, N et al. (2001, Statistics in Medicine, 20, 3891-3900) and Eshima, N et al. (2003, IMA Journal of Mathematics Applied in Medicine and Biology, 20, 1-17).