Statistical Theory and Application, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".

Deadline for manuscript submissions: 30 June 2025 | Viewed by 548

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School of Big Data and Statistics, Anhui University, Hefei 230601, China
Interests: probability limit theory; dependent sequence; mathematical statistics
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Special Issue Information

Dear Colleagues,

Statistical theories and methods are becoming increasingly important for big data and machine learning, making statistical research, which includes the study of statistical models, methods, estimation, inference, applications, and so on, an attractive field.

This Special Issue invites papers on statistical theory and its application in economics, finance, and biology, among others. Studies focusing on topics such as nonparametric, parametric, and semiparametric statistics, multivariate, regression, and time series analyses, probability limit theorems, statistics, and computation are encouraged, with the aim of advancing the fields of probability and statistics both theoretically and methodologically.

Research papers, review articles, and short communications are welcome.

Prof. Dr. Xuejun Wang
Guest Editor

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Keywords

  • regression analysis
  • nonparametric statistics
  • semiparametric statistics
  • multivariate analysis computational statistics
  • high-dimensional statistics
  • probability limit theorems

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Published Papers (1 paper)

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Research

24 pages, 295 KiB  
Article
Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling
by Gi-Sung Lee, Ki-Hak Hong, Sung-Hwan Kim and Chang-Kyoon Son
Mathematics 2025, 13(2), 297; https://doi.org/10.3390/math13020297 - 17 Jan 2025
Viewed by 425
Abstract
When direct survey are about sensitive characteristics such as addiction to drugs, alcoholism, proneness to tax invasion and sexual violence, nonresponse bias and response bias become serious problems because people oftentimes do not wish to give true information. In this study, when the [...] Read more.
When direct survey are about sensitive characteristics such as addiction to drugs, alcoholism, proneness to tax invasion and sexual violence, nonresponse bias and response bias become serious problems because people oftentimes do not wish to give true information. In this study, when the population is composed of strata such as gender, region, age group, we consider the simple model and crossed model by applying stratified random sampling which can estimate not only the domain population proportion but also the whole population proportion for two sensitive attributes such as drug use and sexual violence in the same time. In addition, when the size of each population stratum is unknown in stratified random sampling, we propose the simple model and crossed model by using stratified double sampling method. In each proposed survey design, the sample allocation of each stratum is dealt with in consideration of proportional allocation and optimal one. We compare the efficiency between the simple model and the crossed model according to the proposed stratified random sampling design. Full article
(This article belongs to the Special Issue Statistical Theory and Application, 2nd Edition)
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