in this paper, we investigate infinite product representation of the solution of a sturm-liouville equation with an indefinite weight function which has two zeros and/or singularitiesin a finite interval. first, by using of the asymptotic estimates provided in [w. eberhard, g.freiling, k. wilcken-stoeber, indefinite eigenvalue problems with several singular pointsand turning points, math. nachr...

We proposed a confidence interval method for disease gene localization by testing every position on each chromosome of interest for its possibility of being a disease locus and including those not rejected into the interval. Three test statistics were proposed to perform the tests, including one based on LOD and two generalized likelihood ratio tests with or without model averaging (GLRT/MA and...

in this paper, we study the estimation problems for the two-parameter exponentiated gumbel distribution based on lower record values. an exact confidence interval and an exact joint confidence region for the parameters are constructed. a simulation study is conducted to study the performance of the proposed confidence interval and region. finally, a numerical example with real data set is given...

This paper analyzes the finite-sample and asymptotic properties of several bootstrap and m out of n bootstrap methods for constructing confidence interval (CI) endpoints in models defined by moment inequalities. In particular, we consider using these methods directly to construct CI endpoints. By considering two very simple models, the paper shows that neither the bootstrap nor the m out of n b...

We derive a profile-likelihood confidence interval and a score based confidence interval to estimate the population prevalences, test sensitivities, and test specificities of two conditionally independent diagnostic tests when no gold standard is available. We are motivated by a real-data example on the study of the properties for two fallible diagnostic tests for bovine immunodeficiency virus....

Background: Trying to find a drug with more clinical efficacy in treating obesity is one of the priorities. The aim of this study was to evaluate the efficacy of orlistat, sibutramine, lorcaserin and metformin on weight loss in obese people. Methods: The databases of PubMed, Scopus, Google Scholar and Cochran Library were searched up to November 2016. In present study search strategy was perfo...

The analysis of large random vector channels, particularly multiple-input-multiple-output (MIMO) channels, has primarily been established in the asymptotic regime, due to the intractability of characterizing the exact distribution of the objective performance metrics. This paper advocates a non-asymptotic approach that often results in more refined estimates on the statistical uncertainty of va...