We investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregation techniques simultaneously. Further, we propose the intervalvalued intuitionistic fuzzy optimi...

We present several sharp upper bounds and some extension for product operators. Among other inequalities, it is shown that if , are non-negative continuous functions on such then all operator monotone decreasing function we obtain As an application of the above inequality, where, .

The Bonferroni multiple testing procedure is commonly perceived as being overly conservative in large-scale simultaneous testing situations such as those that arise in microarray data analysis. The objective of the present study is to show that this popular belief is due to overly stringent requirements that are typically imposed on the procedure rather than to its conservative nature. To get o...

Simulated estimates for several proportions are needed in many simulation studies. We propose a method for controlling the length of a simulation run so that the proportions estimated satisfy a prespeciied precision requirement. The method applies the arcsin transform in order to generate conndence intervals with the desired width. The Bonferroni inequality is applied in a new way to construct ...