A class of goodness-of-fit tests based on the empirical characteristic function is studied. They can be applied to continuous as well as to discrete or mixed data with any arbitrary fixed dimension. The tests are consistent against any fixed alternative for suitable choices of the weight...

In this paper we consider the reduced bootstrap, that consists of only considering those bootstrap samples satisfying k1[less-than-or-equals, slant][nu]n[less-than-or-equals, slant]k2, for some 1[less-than-or-equals, slant]k1[less-than-or-equals, slant]k2[less-than-or-equals, slant]n, where...

The consequences of model misspecification for multinomial data when using minimum [phi]-divergence or minimum disparity estimators to estimate the model parameters are considered. These estimators are shown to converge to a well-defined limit. Two applications of the results obtained are...

We consider the problem of testing the equality of ν (ν≥2) multinomial populations, taking as test statistic a sample version of an f-dissimilarity between the populations, obtained by the replacement of the unknown parameters in the expression of the f-dissimilarity among the theoretical...

We consider the problem of testing uniform association in cross-classifications with ordered categories taking as test statistic a Rϕ divergence. The asymptotic null distribution of any test statistic in this class is not free because it depends on the unknown true vector of probabilities, so...

Let X1,X2,...,Xn be independent random vectors with common distribution function F and let be a parametric family of distributions. Let Tn([theta])=Tn(X1,X2,...,Xn;[theta]) be a degree-2 V statistic and let be a consistent estimator of [theta]. Several test statistics for testing the composite...

The penalized calibration technique in survey sampling combines usual calibration and soft calibration by introducing a penalty term. Certain relevant estimates in survey sampling can be considered as penalized calibration estimates obtained as particular cases from an optimization problem with...

Two families of tests for testing uniform association in cross-classification having ordered categories are considered. The test statistics of the tests in these two families are based on Burbea–Rao divergences between certain functions of the observed data. The objective of this paper is to...

Based on the use of calibration techniques as a way of handling nonresponse, case-deletion diagnostics for calibration estimators are proposed. A deleted case is dealt with as it were a nonresponse case. Two types of diagnostics are proposed: one compares the calibration weights and the other...