In this paper, we generalize a theorem of Shao [12] by assuming that is a sequence of linear negatively dependent random variables. Also, we extend some theorems of Chao [6] and Thrum [14]. It is shown by an elementary method that for linear negatively dependent identically random variables with finite -th absolute moment the weighted sums converge to zero as where and is an array of...

Large survey data are often accompanied by sampling weights that reflect the inequality probabilities for selecting samples in complex sampling. Sampling weights act as an expansion factor that, by scaling the subjects, turns the sample into a representative of the community. The quasi-maximum likelihood method is one of the approaches for considering sampling weights in the frequentist framewo...

Abstract Statistical agencies utilize models to synthesize respondent-level data for release the public privacy protection. In this study, we efficiently induce protection into any Bayesian synthesis model by employing a pseudo-likelihood that exponentiates each likelihood contribution an observation record-indexed weight ∈[0,1], defined be inversely proportional identification risk record. We ...