Mathematics Branches, Topics, and Sub-Topics

A structured visual guide to the major mathematical areas and their relationships.

Search by code, branch, topic, subtopic, or a keyword from the descriptions.

62Nxx Survival analysis and reliability

This subtopic introduces the core ideas in survival analysis and reliability, 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

62N01 Censored data models

Overview

Censored data models. This topic studies survival analysis and reliability, focusing on time-to-event models, censoring, and hazard-based inference.

Related Wikipedia Page

Wikipedia: Survival analysis

Useful Links

Key Ideas

  • censoring and truncation mechanisms
  • hazard and intensity modeling
  • event-time regression and diagnostics

Typical Uses

Used for event-time outcomes with incomplete observation and reliability constraints.

Applications

  • Clinical outcomes and epidemiology
  • Engineering reliability and maintenance
  • Customer churn and risk modeling

References

Recommended Textbooks

62N02 Estimation in survival analysis and censored data

Overview

Estimation in survival analysis and censored data. This topic studies survival analysis and reliability, focusing on time-to-event models, censoring, and hazard-based inference.

Related Wikipedia Page

Wikipedia: Survival analysis

Useful Links

Key Ideas

  • censoring and truncation mechanisms
  • hazard and intensity modeling
  • event-time regression and diagnostics

Typical Uses

Used for event-time outcomes with incomplete observation and reliability constraints.

Applications

  • Clinical outcomes and epidemiology
  • Engineering reliability and maintenance
  • Customer churn and risk modeling

References

Recommended Textbooks

62N03 Testing in survival analysis and censored data

Overview

Testing in survival analysis and censored data. This topic studies survival analysis and reliability, focusing on time-to-event models, censoring, and hazard-based inference.

Related Wikipedia Page

Wikipedia: Survival analysis

Useful Links

Key Ideas

  • censoring and truncation mechanisms
  • hazard and intensity modeling
  • event-time regression and diagnostics

Typical Uses

Used for event-time outcomes with incomplete observation and reliability constraints.

Applications

  • Clinical outcomes and epidemiology
  • Engineering reliability and maintenance
  • Customer churn and risk modeling

References

Recommended Textbooks