The diagonal natural exponential families (NEFs) on [real]r were defined and classified recently by Bar-Lev et al. (1994). In this paper, we apply explicit formulas for the Mehler kernels of certain bivariate diagonal NEF classes to develop the total positivity properties of these NEFs and the...

This article concerns the application of bootstrap methodology to construct a likelihood-based confidence region for operating conditions associated with the maximum of a response surface constrained to a specified region. Unlike classical methods based on the stationary point, proper...

Left-truncation or censoring of lifetime observation occurs in many applications. For instance, a crack on the body of a plane may become visible after it starts, a study may permit a process that has progressed to certain level, or a clinical trial may admit a subject who contracted the disease...

In the standard probabilistic approach to information retrieval it is commonly assumed that the occurrence of query terms are conditionally independent given a relevant or non-relevant document. Together with the Probability Ranking Principle, this assumption has led to the development of binary...