Three Aspects of the Statistics of Directions.

Abstract

This paper is a selection of topics from three lectures given to the 21st Summer Research Institute of the Australian Mathematical Society. Lecture 1 gave scientific problems yielding data which are unit vectors--directions--in two and three dimensions. Methods of displaying and summarizing the data were illustrated. Lecture 2 began with the uniform distribution on a sphere of unit radius in q dimensions, then non-uniform distributions were discussed, especially those that arise in certain stochastic processes. Lecture 3 was devoted to a summary of statistical inference methods and concluded with some remarks on problems of greater generality suggested by our subject. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA097489

Entities

People

  • Geoffrey S. Watson

Organizations

  • Princeton University

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Computational Science
  • Data Analysis
  • Data Mining
  • Data Science
  • Information Science
  • Military Research
  • New York
  • Probability
  • Probability Distributions
  • Random Variables
  • Random Walk
  • Statistical Analysis
  • Statistical Inference
  • Statistics
  • Stochastic Processes
  • Surveys

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Systems Analysis and Design
  • Technical Research and Report Writing.

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms