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