Mathematics Branches, Topics, and Sub-Topics

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62Dxx Sampling theory

This subtopic introduces the core ideas in sampling theory, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.

Specific topics

62D05 Sampling theory, sample surveys

Overview

Sampling theory, sample surveys. This topic studies sampling theory, survey design, finite-population inference, and sampling-based estimation methods.

Related Wikipedia Page

Wikipedia: Sampling (statistics)

Useful Links

Key Ideas

  • probability sampling designs
  • finite-population estimation
  • bias-variance control in surveys

Typical Uses

Used to design efficient sample schemes and infer population characteristics from partial observations.

Applications

  • Official statistics
  • Public health surveys
  • Market and social research

References

Recommended Textbooks

62D10 Missing data

Overview

Missing data. This topic studies sampling theory, survey design, finite-population inference, and sampling-based estimation methods.

Related Wikipedia Page

Wikipedia: Sampling (statistics)

Useful Links

Key Ideas

  • probability sampling designs
  • finite-population estimation
  • bias-variance control in surveys

Typical Uses

Used to design efficient sample schemes and infer population characteristics from partial observations.

Applications

  • Official statistics
  • Public health surveys
  • Market and social research

References

Recommended Textbooks

62D20 Causal inference from observational studies

Overview

Causal inference from observational studies. This topic studies sampling theory, survey design, finite-population inference, and sampling-based estimation methods.

Related Wikipedia Page

Wikipedia: Sampling (statistics)

Useful Links

Key Ideas

  • probability sampling designs
  • finite-population estimation
  • bias-variance control in surveys

Typical Uses

Used to design efficient sample schemes and infer population characteristics from partial observations.

Applications

  • Official statistics
  • Public health surveys
  • Market and social research

References

Recommended Textbooks