Inequalities provide a way to study topological indices relatively. There are two major classes of topological indices: degree-based and distance-based indices. In this paper we provide a relative study of these classes and derive inequalities between degree-based indices such as Randić connectivity, GA, ABC, and harmonic indices and distance-based indices such as eccentric connectivity, connec...

Space-filling curves are continuous self-similar functions which map compact multi-dimensional sets into one-dimensional ones. Since their invention they have found applications in a wide variety of fields [12, 21]. In the context of scientific computing and database systems, spacefilling curves can significantly improve data reuse and request times because of their locality properties [9, 13, ...

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive accuracy prevails. Yet, predictive accuracy does not tell the whole story. We propose to evaluate a model through posterior dispersion. The idea is to analyze how...

Objective-To compare M mode derived indices of left ventricular performance obtained with transthoracic and transoesophageal echocardiography in children with congenital heart disease. Design-Transthoracic and transoesophageal M mode echocardiograms were obtained under general anaesthesia before cardiac catheterisation. Recordings were digitised by dedicated software. Indices of cavity dimensio...

Sobol’ indices measure the dependence of a high dimensional function on groups of variables defined on the unit cube [0, 1]. They are based on the ANOVA decomposition of functions, which is an L decomposition. In this paper we discuss generalizations of Sobol’ indices which yield L measures of the dependence of f on subsets of variables. Our interest is in values p > 2 because then variable imp...

The axioms used to characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation ordering is shown to have a two-stage aggregation representation if these axioms and a separability assumption are satisfied. In the first stage, the distributions of each attribute are aggregated using gener...

This paper explores the axiomatic foundation of multidimensional poverty indices. Departing from the income approach which measures poverty by aggregating shortfalls of incomes from a predetermined poverty-line income, a multidimensional index is a numerical representation of shortfalls of basic needs from some pre-speci®ed minimum levels. The class of subgroup consistent poverty indices introd...

The conventional indexing technique designed for the traditional database systems does not use the read-only characteristics of the data warehouse environment. Recently, Bitmap Indexing has been proposed as a candidate indexing structure suitable for the read-only environments, like those of decision support systems. The current paper presents a short literature survey of the various clone of t...

In recent years, ethnic fractionalization has emerged as a central variable in quantitative analyses of outcomes ranging from economic growth rates (Easterly and Levine, 1997) and the quality of governance (La Porta et al, 1999) to ethnic conflict (Kay et al, 2000) and the frequency of coups d’etat (Londregan and Poole, 1990). Almost all such analyses employ, either alone or in combination with...

Single breath pulmonary function tests of the forced expiratory volume in one second (FEV1) and forced vital capacity (FVC) type require adjustments for age and height before the extent of their deviation from normal standards can be assessed. Many regression equations have been proposed in the literature. The Committee on Rating of Mental and Physical Impairment (1965) has provided tables of n...