We review the history of modeling score distributions, focusing on the mixture of normal-exponential by investigating the theoretical as well as the empirical evidence supporting its use. We discuss previously suggested conditions which valid binary mixture models should satisfy, such as the Recall-Fallout Convexity Hypothesis, and formulate two new hypotheses considering the component distribu...

In longitudinal studies, repeated measures are collected over time and hence they tend to be serially correlated. These studies commonly analyzed using linear mixed models (LMMs), in this article we consider an extension of the skew-normal/independent LMM, where error term has a dependence structure, such as damped exponential correlation or autoregressive order p. The proposed model provides f...

Analytic and asymptotic properties of the generalized Student Lomax distributions are discussed, with main focus on representation these as scale mixtures laws that appear limit in classical theorems probability theory, such normal, folded exponential, Weibull, Fréchet distributions. These representations result possibility proving some for statistics constructed from samples random sizes which...

Speed is one of the most important parameters describing the condition of the traffic flow. Many analytical models related to traffic flow either produce speed as a performance measure, or use speed to determine other measures such as travel time, delay, and the level of service. Mathematical models or distributions used to describe speed characteristics are very useful, especially when they ar...