A PROBABILITY DENSITY FUNCTION FOR THE FUTURE POSITION OF A VESSEL AT SEA.

Abstract

A probability density function was derived which can be used to calculate the probability that the future of a vessel at sea will be in a given region. The density function was derived for the following conditions: at the initial time the actual position of the vessel is a sample from a normal distribution with known mean and covariance matrix; the velocity of the vessel remains constant during the time period of interest; the speed of the vessel is a sample from a chi distribution; and the course of the vessel is a sample from an arbitrary distribution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 26, 1970
Accession Number
AD0712506

Entities

People

  • M. E. B. Owens

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Covariance
  • Data Science
  • Functions (Mathematics)
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Normal Distribution
  • Probability
  • Probability Density Functions
  • Random Variables
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematics or Statistics
  • Naval Architecture and Marine Engineering.