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K-record values and the extreme-value index
Journal of Statistical Planning and Inference, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eccentric connectivity index: extremal graphs and values
2010Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially
DOŠLIĆ, T. +2 more
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Competitive estimation of the extreme value index
Statistics & Probability Letters, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gomes, M. Ivette +1 more
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Extreme Values of Non-Stationary Sequences and the Extremal Index.
1982Abstract : The conditions used to generalize the extreme value theory for stationary random sequences to non-stationary sequences are studied with respect to their necessity. The authors find that the extremal index, defined in the stationary case, plays a similar role in the non-stationary case.
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Extremal Values of The Harmonic Index of Graphs
Malaysian Journal of Mathematical SciencesFor a graph Ω with vertex set V (Ω) and edge set E(Ω), its harmonic index is defined as $H(\Omega) = \sum_{uv \in E(\Omega)} \frac{2}{d_u + d_v}$, where $d_u and d_v$ denote the degrees of vertices $u$ and $v$, respectively.The harmonic index captures various structural characteristics of a graph, such as connectivity and the uniformity of its vertex ...
C. Xu, G. Li
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Local Asymptotic Normality in Extreme Value Index Estimation
Annals of the Institute of Statistical Mathematics, 1997The author studied the estimation of an exteme value index. A local asymptotic normality result is established for estimation of the extreme value index in local extreme value models, i.e. in the \(\delta\)-neighborhood of generalized Pareto distributions.
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On a generalized Pickands estimator of the extreme value index
Journal of Statistical Planning and Inference, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Single‐index models for extreme value index regression
Statistica NeerlandicaABSTRACT Since the extreme value index (EVI) controls the tail behavior of the distribution function, the estimation of EVI is a very important topic in extreme value theory. Recent contributions have focused on nonparametric regression approaches with covariates for the estimation of EVI.
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A general class of estimators of the extreme value index
Journal of Statistical Planning and Inference, 1998A sequence of i.i.d. variables having common distribution \(F\) is observed. This distribution belongs to the weak domain of attraction of some extreme value distribution \(G\). That means \(\displaystyle{\mathcal L} (a_n^{-1}(\max_{1\leq i\leq n} X_i-b_n))\rightarrow G\) for some sequences \(a_n\) and \(b_n\). It is well known that \(G\) has the form \
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