This paper considers classical hypothesis testing in the maximum likelihood (ML) and generalized method of moments (GMM) frameworks, where components of unconstrained (and constrained) estimates of a model may have various rates of convergence and their limiting distributions are asymptotically normally distributed. Sufficient conditions are established under which the likelihood ratio, efficie...

In this paper, the two-stage procedure is considered for autoregressive parameters estimation in the p-order autoregressive model ( AR(p)). The point estimation and fixed-size confidence ellipsoids construction are investigated which are based on least-squares estimators. Performance criteria are shown including asymptotically risk efficient, asymptotically efficient, and asymptotically consist...

*Correspondence: [email protected] 2College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China Full list of author information is available at the end of the article Abstract In this paper, a new nonlinear mapping, asymptotically strict quasi-φ-pseudocontraction in the intermediate sense, is introduced. Projection algorithms are considered for ...

The notion of outgoing and incoming spaces of Lax-Phillips [17] is generalized to asymptotically outgoing and incoming spaces. With this notion of asymptotically outgoing and incoming spaces, it is shown that the existence and asymptotic completeness of wave operators in quantum scattering theory is obtained by a slightly modified proof of Theorem 1.2 in [17]. AMS Subject Classification: Primar...

We use simple compound properties of de Bruijn related networks to get new bounds about broadcasting and gossiping on such networks. We get some asymptotically optimal results on undi-rected de Bruijn, Kautz, and generalization of the shuue-exchange networks. Our techniques allow more generally to derive eecient broadcasting protocols for the undirected graph associated to a line digraph. As ex...

Human statistics are numerical attributes defined on humans, for example, longevity, height, weight, IQ, and it is well-known, at least empirically, that these are, each separately, asymptotically normal, which means that if you draw a histogram with the statistical data, it would look like a bell-curve. It is also true that they are usually joint-asymptotically-normal, but usually not independ...

Asymptotically good sequences of ramp secret sharing schemes were given in [4] by using one-point algebraic geometric codes defined from asymptotically good towers of function fields. Their security is given by the relative generalized Hamming weights of the corresponding codes. In this paper we demonstrate how to obtain refined information on the RGHWs when the codimension of the codes is smal...

The geometry of Cantor systems associated with an asymptotically non-hyperbolic family (f )0≤ ≤ 0 was studied by Jiang (Geometry of Cantor systems. Trans. Amer. Math. Soc. 351 (1999), 1975–1987). By applying the geometry studied there, we prove that the Hausdorff dimension of the maximal invariant set of f behaves like 1−K 1/γ asymptotically, as was conjectured by Jiang (Generalized Ulam–von Ne...

*Correspondence: [email protected] Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China Abstract In this article, the demiclosedness principle for total asymptotically pseudocontractions in Banach spaces is established. The strong convergence to a common fixed point of total asymptotically pseudocontractive semigroups in Banach spaces is established based on the demiclosednes...