TABLES OF CUMULATIVE DISTRIBUTION FUNCTION OF A SUM OF N INDEPENDENT RANDOM VARIABLES,

Abstract

Assuming zero mean, the probability that the error of a piece of equipment will not exceed a given value is determined as a function of the tolerance limits of the components of that equipment. It is assumed that the error of each component is independent of those of the other and that it is uniformly distributed. It is further assumed that the errors are additive. Cumulative distribution functions are tabulated for n = 2, 3, 4. It is illustrated that the cumulative probability density function approaches the normal frequency function very rapidly. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1958
Accession Number
AD0672202

Entities

People

  • Ta Li

Organizations

  • General Dynamics

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Data Science
  • Distribution Functions
  • Frequency
  • Functions (Mathematics)
  • Information Science
  • Mathematics
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

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  • Fluid Dynamics.
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