Sentence examples for using the asymptotic framework from inspiring English sources

Using the asymptotic framework of Bhattacharya [Asymptotic Inference from multi-stage surveys. Journal of Econometrics 126(145 171]171], I derive a weak convergence result for the continuously-indexed Lorenz process even when the underlying density is not uniformly bounded away from zero.

The homogenization procedure is justified using the asymptotic expansion method.

Several salient patterns emerged regarding the realized coverage of 90% CIs, as estimated using the asymptotic variance of ML estimates.

b Using the asymptotic standard error assuming the null hypothesis.

Hardy Weinberg equilibrium was tested using the asymptotic Pearson's χ-test.

For our example, it is demonstrated that confidence intervals using the asymptotic threshold sometimes yield slightly conservative intervals.

Bootstrap p-values were very close to the ones computed using the asymptotic χ2 distribution of global tests.

Within the asymptotic framework, higher-order terms and the application of Padé approximation are implemented allowing for an extended applicability of asymptotic solutions.

The asymptotic framework considered requires proportional growth of the sample sizes and the dimension of the repeated measures in the unequal covariance case.

Nevertheless, we believe that the asymptotic framework that we adopted offers a biologically acceptable model and that its applicability in forecasting joint replacement is more plausible than Poisson regression.

With the generalized linear models, edgeR and DESeq use the asymptotic likelihood ratio or Wald tests.