A QUALITY CONTROL MODEL FOR COMPLEX ITEMS

Abstract

A formulation and analysis is presented of a mathematical model which is useful in resolving certain problems associated with the maintainance of suitable quality levels in the production of complex items. Consider an item composed of many interrelated component parts. These parts are subject to random fluctuations in performance and to random environmental influences so that there is some definite probability less than one (over) that a given item will conform to performance specifications on any given trial. A method is presented for constructing a large class of consistent asymptotically normal efficient estimates for the parameters of distributions satisfying certain regularity conditions. Another aspect considered is the problem of optimum allocation of k (the number of observations per item). Tables are presented which give the minimizing value of k for certain pairs of positive real parameter points. Asymptotic expressions for the minimizing value of k are also presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 29, 1960
Accession Number
AD0248546

Entities

People

  • Joseph Henry Kullback

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Mathematical Models
  • Models
  • Observation
  • Probabilistic Models
  • Probability
  • Production
  • Quality Control
  • Specifications

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design