Long-Term Distributions of Stochastic Processes with Application to Ship Hull Stress Statistics.

Abstract

The mathematical properties of the following probability distributions and their moment generating functions are derived: Weibull distribution; Rayleigh distribution; Exponential distribution; Normal distribution; Voznesensky distribution; and Generalized Rayleigh distribution. The relative merits of applying these distributions to problems in ship responses to the sea, which is described as a stationary stochastic process, are discussed. In Part 2, the most promising long-term distributions derived from the above survey are applied to ship bending stress data from four ships. It is concluded that a numerical solution of long-term distributions, using either Weibull or Normal distributions of the short-term Rayleigh parameters (classified by weather groups) is better than any explicit functions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA073846

Entities

People

  • Bruce H. Stephan
  • Robert B. Zubaly

Organizations

  • Webb Institute

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Bending Stress
  • Data Mining
  • Data Science
  • Distribution Functions
  • Information Processing
  • Information Science
  • Naval Architecture
  • Normal Distribution
  • Probability
  • Probability Distributions
  • Random Variables
  • Stationary Processes
  • Statistical Analysis
  • Statistical Samples
  • Statistics
  • Stochastic Processes
  • Surveys

Fields of Study

  • Mathematics

Readers

  • Marine Hydrodynamics
  • Statistical inference.
  • Systems Analysis and Design