Inference under multivariate size-biased sampling

A. Batsidis, G. Tzavelas and P. Economou

Journal of Applied Statistics, 2025, vol. 52, issue 10, 1968-1983

Abstract: The present research deals with statistical inference for the expectation of a function of a random vector based on biased samples. After highlighting with the help of a motivating example the need for conducting this study, using the concept of multivariate weighted distributions, a consistent and asymptotically normally distributed estimator is proposed and utilized for developing statistical inference. A Monte Carlo study is carried out to examine the performance of the estimator proposed. Finally, the analysis of a real-world data set illustrates the benefits of using the proposed methods for statistical inference.

Date: 2025
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DOI: 10.1080/02664763.2025.2451972

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