This can be the case for some maximum likelihood estimators or for any estimators that attain equality of the Cramér–Rao bound asymptotically. Some estimators can attain efficiency asymptotically and are thus called asymptotically efficient estimators. If one calls $ X _ {1} , X _ {2} \dots $" observations" and $ T _ {n} $" estimators" , one obtains the definition of an asymptotically-unbiased estimator. In terms of methodology,several graph sampling algorithms have been proposed to obtain a sampled dataset from the net-works. • A limited number of uniformly sampled nodes (less than 0.01of all sampled nodes) to guarantee that different parts of the directed graph are explored. We introduce the notion of a distributional limit G of such graphs. CRA is also asymptotically unbiased under covariate-dependent missingness, that is, P(R = 1|X, Y, C) = P(R = 1|X, C). Example: Median. In analytic geometry, an asymptote (/ ˈ æ s ɪ m p t oʊ t /) of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity.. one says that $ T _ {n} $ is a function which is asymptotically unbiased for the function $ g $. This means that larger sample sizes converge on the population parameter. Unbiased Finite Planar Graphs are Asymptotically Recurrent (2000) Cached. Suppose that G j is a sequence of finite connected planar graphs, and in each G j a special vertex, called the root, is chosen randomly-uniformly. Next, we perform extensive simulation validation of the proposed estimators on networks generated from random graph models as well as networks constructed from However, they might induce different sampling efficiencies, which are often unknown a priori. attachment, duplication, and geometric models. In fact, this result applies not only to logistic regression but more generally to any regression method in which the model specifies the distribution of outcome Y given covariates X and C (e.g., linear regression) . the network is a balanced graph containing a spanning tree and the consensus gains satisfy the step rule of classical stochastic approximation, then the closed-loop system will achieve asymptotically unbiased mean square average-con-sensus. one can obtain asymptotically unbiased estimates of a num-ber of graph characteristics such as fraction of vertices with a given label [18], the degree distribution [18], and, more recently, assortativity and global clustering coefficients [14].


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