Applications of asymptotic theory to data analysis in behaviormetrics with discrete and continuous variables

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For statistical testing and interval estimation of unknown quantities like population parameters, the distributions of their associated statistics are required. However, their accurate values are often unavailable. On the other hand, using statistical asymptotic theory, their approximation can be obtained. In this study, asymptotic expansions of the distributions of the statistics are derived for dada analysis in behaviormetrics using discrete and continuous variables.