In comparing the mean count of two independent samples, some practitioners would use the t-test or the Wilcoxon rank sum test while others may use methods based on a Poisson model. It is not uncommon to encounter count data that exhibit overdispersion where the Poisson model is no longer appropriate. This paper deals with methods for overdispersed data using the negative binomial distribution r...

Several reproducibility probability (RP)-estimators for the binomial, sign, Wilcoxon signed rank and Kendall tests are studied. Their behavior in terms of MSE is investigated, as well as their performances for RP-testing. Two classes of estimators are considered: the semi-parametric one, where RP-estimators are derived from the expression of the exact or approximated power function, and the non...

Current prediction models for usability evaluations are based on stochastic distributions derived from series of Bernoulli processes. The underlying assumption of these models is a homogeneous detection probability despite of it being intuitively unrealistic. This paper contributes a simple statistical test for existence of heterogeneity in the process. The compound beta-binomial model is propo...

Abstract: Two economic testing policies for industrial products are considered in discrete time. Based on the usual total time on test (TTT) method, we develop non-parametric statistical estimation algorithms to determine the optimal testing times, minimizing the expected cost function per unit time and maximizing the expected profit function per unit time, given that the complete sample data o...

Objective: Depressed patients harbor maladaptive schemas that distort social reality and impaired facial expression recognition. Thus, this study aims at identifying specific associations among depressive symptoms, early maladaptive schemas, and patterns of for recognizing facially expressed emotions. Methods: 100 subjects diagnosed with depressive symptoms were selected from a larger statisti...

We present explicit formulas for the following family of parametric binomial sums involving harmonic numbers $$p=0,1,2$$ and $$|t|\le 1$$ . $$\begin{aligned} \sum _{k=1}^{\infty }\frac{H_{k-1}t^k}{k^p\left( {\begin{array}{c}n+k\\ k\end{array}}\right) } \quad \text{ }\quad }\frac{t^k}{k^p\left( }. \end{aligned}$$ also generalize relation between Stirling first kind Riemann zeta function to polyg...