Results 81 to 90 of about 213 (120)

The law of the iterated logarithm for Lp-norms of empirical processes

Let X1,X2,... be a sequence of i.i.d. random variables with a common continuous distribution function F and let p [greater-or-equal, slanted] 1. It is shown that where Fn denotes the empirical distribution function of the sample X1,X2,...,Xn60F25, 62G30 ...
Kaluszka, M., Lenic, A., Gajek, L.
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Necessary and Sufficient Conditions for Weak Consistency of the Median of Independent but not Identically Distributed Random Variables

, 1996
: Necessary and sufficient conditions for the weak consistency of the sample median of independent, but not identically distributed random variables are given and discussed. AMS 1991 subject classification: Primary: 60F05, 62G30; Secondary: 62G20, 62E20.
Ivan Mizera, Jon A. Wellner
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Processing simulation output by Riemann sums

, 1996
When estimating an integral by a Monte-Carlo method, an alternative to the standard average of observed values is to use Riemann sums, that is trapezoidal approximations.
Anne Philippe
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Multivariate order statistics based on dependent and nonidentically distributed random variables

In this paper some identities and inequalities which involve the joint distribution of order statistics in a set of dependent and nonidentically distributed random variables are derived.
Barakat, H.M.
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A multivariate version of the Benjamini-Hochberg method

We propose a multivariate method for combining results from independent studies about the same 'large scale' multiple testing problem. The method works asymptotically in the number of hypotheses and consists of applying the Benjamini-Hochberg procedure ...
Ferreira, J.A., Nyangoma, S.O.
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Local linear regression for functional predictor and scalar response

The aim of this work is to introduce a new nonparametric regression technique in the context of functional covariate and scalar response. We propose a local linear regression estimator and study its asymptotic behaviour.
Grané, Aurea, Baíllo, Amparo
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Poisson and Gaussian approximation of weighted local empirical processes

We consider the local empirical process indexed by sets, a substantial generalization of the well-studied uniform tail empirical process. We show that the weak limit of weighted versions of this process is Poisson under certain conditions, whereas it is ...
Einmahl, John H. J.
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A new dependence ordering with applications

In this paper, we introduce a new copula-based dependence order to compare the relative degree of dependence between two pairs of random variables. Relationship of the new order to the existing dependence orders is investigated.
Kochar, Subhash, Xu, Maochao
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Joint distributions of numbers of occurrences of a discrete pattern and weak convergence of an empirical process for the pattern

For a {0, 1}-pattern of finite length, an empirical process is introduced in order to describe the number of overlapping occurrences of the pattern at each level t[set membership, variant][0,1] in a sequence of the corresponding indicators of i.i.d.
Aki, Sigeo
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Order restricted inference for sequential k-out-of-n systems

Sequential order statistics have been introduced to model sequential k-out-of-n systems which, as an extension of k-out-of-n systems, allow the failure of some components of the system to influence the remaining ones.
Balakrishnan, N., Beutner, E., Kamps, U.
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