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62Fxx Parametric inference

This subtopic introduces the core ideas in parametric inference, 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

62F03 Parametric hypothesis testing

Overview

Parametric hypothesis testing. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F05 Asymptotic properties of parametric tests

Overview

Asymptotic properties of parametric tests. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F07 Ranking and selection in parametric statistics

Overview

Ranking and selection in parametric statistics. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F10 Point estimation

Overview

Point estimation. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F12 Asymptotic properties of estimators

Overview

Asymptotic properties of estimators. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F15 Bayesian inference

Overview

Bayesian inference. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F25 Tolerance and confidence regions

Overview

Tolerance and confidence regions. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F30 Inference under constraints

Overview

Inference under constraints. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F35 Robustness and adaptive procedures (parametric inference)

Overview

Robustness and adaptive procedures (parametric inference). This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks

62F40 Bootstrap, jackknife and other resampling methods

Overview

Bootstrap, jackknife and other resampling methods. This topic studies parametric inference, where statistical models are described by finite-dimensional parameter families.

Related Wikipedia Page

Wikipedia: Parametric statistics

Useful Links

Key Ideas

  • likelihood-based estimation
  • efficiency and optimality in parametric families
  • hypothesis tests in finite-parameter models

Typical Uses

Used when model assumptions specify a parametric family and inferential targets are model parameters.

Applications

  • Classical estimation and testing
  • Biostatistics and econometrics
  • Model-based scientific inference

References

Recommended Textbooks