In this paper, fast search algorithms are proposed and studied for vector quantization encoding using the K-dimensional (K-d) tree structure. Here, the emphasis is on the optimal design of the K-d tree for efficient nearest neighbor search in multidimensional space under a bucket-Voronoi intersection search framework. Efficient optimization criteria and procedures are proposed for designing the...

A multivariate test of size α for assessing the similarity of two dissolution profiles is proposed. The inferential procedure is developed using the approach for the common mean problem in a multivariate setup due to Halperin (15). The performance of the proposed method is compared with Intersection Union Test as well as criterion recommended by the FDA through a simulation study. All the metho...

This study was carried out to analyze the variations of Benzene, Toluene, and para- Xylene (BTp-X) present in the urban air of Delhi. These pollutants can enter into the human body through various pathways like inhalation, oral and dermal exposure posing adverse effects on human health. Keeping in view of the above facts, six different locations of Delhi were selected for the study during summe...

A multivariate test of size a for assessing the similarity of two dissolution profiles is proposed. The inferential procedure is developed by using the approach for the common mean problem in a multivariate setup due to Halperin (1961). The performance of the proposed method is compared with Intersection Union Test as well as f2 criterion recommended by the FDA through a simulation study. All t...

background: linear and angular measurements such as a point, nasion, b point (anb) angle and wits appraisal index are not accurate enough to evaluate sagittal relationship of the jaws. the aim of this study was to evaluate and compare the range of ì and â angles in 6-17-year-old children of isfahan, having normal occlusion. materials and methods: this was an analytical descriptive study. for th...

Recent applications of Statistics often leads one to encounter testing problems where the original hypothesis of interest comprises of the union of several sub-hypothesis. In the framework of such Intersection-Union testing of hypothesis, in contrast to the usual Union-Intersection framework, a subhypothesis therein may specify a parameter or a function of some of the parameters of the underlyi...

The likelihood ratio test (LRT) method is a commonly used method of hypothesis test construction. The intersection-union test (JUT) method is a less commonly used method. We will explore some relationships between these two methods. We show that, under some conditions, both methods yield the same test. But, we also describe conditions under which the size-a JUT is uniformly more powerful than t...

Nowadays, geospatial information systems (GIS) are widely used to solve different spatial problems based on various types of fundamental data: spatial, temporal, attribute and topological relations. Topological relations are the most important part of GIS which distinguish it from the other kinds of information technologies. One of the important mechanisms for representing topological relations...