In this paper, a family of estimators for the finite population variance investigated by Srivastava and Jhajj (1980) is studied under two different situations of random non-response considered by Tracy and Osahan (1994). Asymptotic expressions for the biases and mean squared errors of members of the proposed family are obtained; in addition, an asymptotic optimum estimator(AOE) is also identifi...

We discuss the Newtonian limit of boost-rotation symmetric spacetimes by means of the Ehlers’ frame theory. Conditions for the existence of such a limit are given and, in particular, we show that asymptotic flatness is an essential requirement. Consequently, generalized boost-rotation symmetric spacetimes describing particles moving in uniform fields will not possess such a limit. In the cases ...

This paper combines techniques of potential shaping with those of kinetic shaping to produce some new methods for stabilization of mechanical control systems. As with each of the techniques themselves, our method employs energy methods and the LaSalle invariance principle. We give explicit criteria for asymptotic stabilization of equilibria of mechanical systems which, in the absence of control...

Models of fluctuating(or random) geometries provide many challenging problems. One of them is the definition and interpretation of correlation functions. The usual formulation of the correlation function as a correlator of two observables in two fixed points at some distance apart is possible only if we have a fixed system of coordinates and a metric. This may be suitable for the perturbation t...

The purpose of this paper is to study the asymptotic properties (i.e., strong convergence and asymptotic convergence rate) of the subband identification method in every subband and in the overall method. The study of strong convergence aims to answer the question whether the “best possible” model is retrieved, on the limit, with probability one. The study of the asymptotic convergence rate aims...

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The problem of the sample variance computation for epistemic inter-val-valued data is, in general, NP-hard. Therefore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the samp...

This paper considers the simple step-stress model from the Marshall-Olkin generalized exponential distribution when there is time constraint on the duration of the experiment. The maximum likelihood equations for estimating the parameters assuming a cumulative exposure model with lifetimes as the distributed Marshall Olkin generalized exponential are derived. The likelihood equations do not lea...

‎Recently a first-order Spatial Integer-valued Autoregressive‎ ‎SINAR(1,1) model was introduced to model spatial data that comes‎ ‎in counts citep{ghodsi2012}‎. ‎Some properties of this model‎ ‎have been established and the Yule-Walker estimator has been‎ ‎proposed for this model‎. ‎In this paper‎, ‎we introduce the...