Although the random sum distribution has been well-studied in probability theory, inference for the mean of such distribution is very limited in the literature. In this paper, two approaches are proposed to obtain inference for the mean of the Poisson-Exponential distribution. Both proposed approaches require the log-likelihood function of the Poisson-Exponential distribution, but the exact for...

In this paper we show how Rank-Crank type PDE’s (first found by Atkin and Garvan) occur naturally in the framework of non-holomorphic Jacobiforms and find an infinite family of such differential equations. As an application we show an infinite family of congruences for odd Durfee symbols, a partition statistic introduced by George Andrews.

Using the Kalbfleisch-Prentice marginal likelihood based on Cox's regression and life model, a computationally simple method is presented for testing general linear hypotheses of the form H o : ~ §= Q. The method, which does not require estimating §, is based on partitioning the asymptotic global chi-square statistic of Cox to produce the appropriate test statistic. Under H o ' this statistic a...

in this study, an effort has been made to determine the most important risk factors of tuberculosis (tb) in district mardan. a total of 645 cases were examined, and their personal and medical data were collected. for each case, the phenomenon of tb was studied in relation to different risk factors. statistical techniques of logistic regression and backward elimination procedure were used to ana...

BACKGROUND Spatial scan statistics are widely used for spatial cluster detection, and several parametric models exist. For continuous data, a normal-based scan statistic can be used. However, the performance of the model has not been fully evaluated for non-normal data. METHODS We propose a nonparametric spatial scan statistic based on the Wilcoxon rank-sum test statistic and compared the per...