Extreme Values of Random Processes in Seakeeping Applications

Abstract

In many seakeeping applications, it is desirable to know the probability that a particular random process, such as the height of the sea at a given point, exceeds a predetermined level during an interval of time. The basic mathematical analysis of extreme values is presented. Bounds are obtained for two distinct cases: In the first case, only the covariance function of the process is assumed to be known; while in the second case, the joint distribution of the process and its first derivative are considered known. The results are applied to various seakeeping applications. In particular, bounds on the probability of extreme wave heights are developed and analyzed using the proposed spectrum of Pierson and Moskowitz for fully developed seas. Similar results are also obtained for the energy associated with a random process. Finally, recommendations are made to extend the work on both a theoretical and experimental basis.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0607912

Entities

People

  • George P. Thrall

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Distribution Functions
  • Engineering
  • Fluid Dynamics
  • Fluid Mechanics
  • Frequency
  • Gaussian Distributions
  • Gaussian Processes
  • Mathematical Analysis
  • Mechanics
  • Military Research
  • Naval Architecture
  • New York
  • Probability
  • Random Variables
  • Stochastic Processes
  • Time Intervals
  • Wind Velocity

Fields of Study

  • Mathematics

Readers

  • Marine Hydrodynamics
  • Statistical inference.