Let Tn denote the set of all unrooted and unlabeled trees with n vertices, and (i, j) a double-star. By assuming that every tree of Tn is equally likely, we show that the limiting distribution of the number of occurrences of the double-star (i, j) in Tn is normal. Based on this result, we obtain the asymptotic value of Randić index for trees. Fajtlowicz conjectured that for any connected graph ...

• A simple generalisation of the classical Hill estimator of a positive extreme value index (EVI) has been recently introduced in the literature. Indeed, the Hill estimator can be regarded as the logarithm of the mean of order p = 0 of a certain set of statistics. Instead of such a geometric mean, we can more generally consider the mean of order p (MOP) of those statistics, with p real, and eve...

− One of the main goals of extreme value analysis is to estimate the probability of rare events given a sample from an unknown distribution. The upper tail behavior of this distribution is described by the extreme value index. We present a new estimator of the extreme value index adapted to any domain of attraction. Its construction is similar to the one of Pickands’ estimator. Its weak consist...

BACKGROUND Ki67 index is one of the most important immunocytochemical markers of proliferation in tumors, but the criterion of Ki67 index in GISTs was not well-defined yet. Our study aims to fully evaluate the prognostic value of Ki67 index in GIST patients and efficiency of imatinib adjuvant therapy. METHODS Clinicopathological data were confirmed by pathological diagnosis and clinical recor...

The therapeutic index of a histamine-1 (H1)antihistamine is the benefit-to-risk ratio of the medication and defines the range of doses and plasma concentrations over which the drug is effective and safe. In allergic rhinoconjunctivitis and urticaria, although the efficacy profiles of currently available H1-antihistamines are similar, these agents differ greatly with regard to safety, and this c...

In the overloaded situation under which the emergency departments (ED) operate in Spain,1 the immediate attention that the patient with chest pain (CP) requires constitutes a real challenge. Catheterization of these patients is an essential prerequisite prior to the application of algorithms and indexes that facilitate rapid detection of those who really have an acute coronary syndrome (ACS). C...

THE electrocardiographic diagnosis of atrial enlargement is a common problem. The established criteria, based on voltage, configuration, and duration of the P wave, very often fail to confirm the diagnosis even in cases of known atrial enlargement. In 1958, Macruz, Perloff, and Case1 proposed a simple formula for electrocardiographic recognition of right, left, and combined atrial enlargement. ...

• Classical extreme value index estimators are known to be quite sensitive to the number k of top order statistics used in the estimation. The recently developed second order reduced-bias estimators show much less sensitivity to changes in k. Here, we are interested in the improvement of the performance of reduced-bias extreme value index estimators based on an exponential second order regressi...

In extreme value theory, the extreme-value index is a parameter that controls the behavior of a cumulative distribution function in its right tail. Estimating this parameter is thus the first step when tackling a number of problems related to extreme events. In this paper, we introduce an estimator of the extreme-value index in the presence of a random covariate when the response variable is ri...

This paper presents a new approach to valuing in-kind benefits and a new index for that valuation. This approach is both individual (or family) specific and assigns a value to benefits for all those eligible for them, whether or not the benefits are actually used. The value is based on observed characteristics of the individual (and family) and location-specific factors likely to influence the ...