Survey Statistics and Survey Sampling: Challenges and Opportunities

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

Deadline for manuscript submissions: 31 May 2024 | Viewed by 2433

Special Issue Editor

Survey Research Center, Institute for Social Research & Department of Biostatistics, School of Public Health, University of Michigan-Ann Arbor, Ann Arbor, MI 48104, USA
Interests: Bayesian statistics; survey sampling and inference; missing data imputation; causal inference; confidentiality protection

Special Issue Information

Dear Colleagues,

Survey sampling is a primary technique to generate official statistics, and the analytic use of survey data has spread across government agencies, research institutions and private sectors. Sampling is the selection of a subset (a statistical sample) of individuals from the target population to estimate the characteristics of the whole population. Statisticians attempt to collect samples that are representative of the population in question. However, nonresponse is inevitable. Statistical models, such as those for nonresponse adjustment and for small area estimation, are important components of survey statistics. As a result, the overlap between survey sampling and other areas of statistics has increased, and the mutual dependence makes it important that survey sampling be an integral part of statistics. Originally, survey sampling was differentiated from other areas by the size of the data sets and by the number of estimates produced. In such settings survey statisticians prefer techniques with broad applicability and robustness with a minimum of assumptions. Results from probability theory and statistical theory are employed to guide the practice. The recent increase in data collection costs and nonresponse rates challenges the application of probability sample surveys. Necessary precautions are taken to reduce sampling and measurement errors and yield valid and reliable information.

The Special Issue aims to publish in as much detail as possible scientific advances in the field of Survey Statistics and Survey Sampling Theory and Methods. Both original research and review papers are encouraged.

Potential topics include, but are not limited to, the following:

  • Probability sampling methods;
  • Non-probability sampling methods;
  • Nonresponse bias adjustment;
  • The use of administrative data;
  • Combining multiple data sources;
  • Small area estimation;
  • Missing data methods;
  • Bayesian survey estimation;
  • Respondent-drive sampling.

Dr. Yajuan Si
Guest Editor

Manuscript Submission Information

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Published Papers (2 papers)

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Research

14 pages, 313 KiB  
Article
Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators
by Shashi Bhushan, Anoop Kumar, Amer Ibrahim Al-Omari and Ghadah A. Alomani
Mathematics 2023, 11(9), 2125; https://doi.org/10.3390/math11092125 - 30 Apr 2023
Cited by 2 | Viewed by 822
Abstract
This article examines the issue of population mean estimation utilizing past and present data in the form of an exponentially weighted moving average (EWMA) statistic under simple random sampling (SRS). We suggest memory-type logarithmic estimators and derive their properties, such as mean-square error [...] Read more.
This article examines the issue of population mean estimation utilizing past and present data in the form of an exponentially weighted moving average (EWMA) statistic under simple random sampling (SRS). We suggest memory-type logarithmic estimators and derive their properties, such as mean-square error (MSE) and bias up to a first-order approximation. Using the EWMA statistic, the conventional and novel memory-type estimators are compared. Real and artificial populations are used as examples to illustrate the theoretical findings. According to the empirical findings, memory-type logarithmic estimators are superior to the conventional mean estimator, ratio estimator, product estimator, logarithmic-type estimator, and memory-type ratio and product estimators. Full article
(This article belongs to the Special Issue Survey Statistics and Survey Sampling: Challenges and Opportunities)
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15 pages, 292 KiB  
Article
An Efficient Ratio-Cum-Exponential Estimator for Estimating the Population Distribution Function in the Existence of Non-Response Using an SRS Design
by Ayesha Khalid, Aamir Sanaullah, Mohammed M. A. Almazah and Fuad S. Al-Duais
Mathematics 2023, 11(6), 1312; https://doi.org/10.3390/math11061312 - 08 Mar 2023
Cited by 1 | Viewed by 1069
Abstract
To gain insight into various phenomena of interest, cumulative distribution functions (CDFs) can be used to analyze survey data. The purpose of this study was to present an efficient ratiocum-exponential estimator for estimating a population CDF using auxiliary information under two scenarios of [...] Read more.
To gain insight into various phenomena of interest, cumulative distribution functions (CDFs) can be used to analyze survey data. The purpose of this study was to present an efficient ratiocum-exponential estimator for estimating a population CDF using auxiliary information under two scenarios of non-response. Up to first-order approximation, expressions for the bias and mean squared error (MSE) were derived. The proposed estimator was compared theoretically and empirically, with the modified estimators. The proposed estimator was found to be better than the modified estimators based on present-relative efficiency PRE and MSE criteria under the specific conditions. Full article
(This article belongs to the Special Issue Survey Statistics and Survey Sampling: Challenges and Opportunities)
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