Laws of distribution and unbiased estimates of numerical indexes for process reproducibility

Abstract


Laws of distribution are established and numerical characteristics of selective numerical indexes for the process reproducibility are obtained. Positive displacement of the estimations accepted in the operating standards is revealed and compensated. More efficient unbiased are proposed.


About the authors

V. A. Barvinok

Samara StateAerospace University named after academician S. P. Korolyov (National Research University)

Author for correspondence.
Email: barvinok@ssau.ru

Russian Federation

Сorresponding Member of the Russian Academy of Sciences

Doctor of Technical Science

Professor

Head of the Department of Aircraft Construction and Quality
Management in Engineering

V. I. Bogdanovich

Samara StateAerospace University named after academician S. P. Korolyov (National Research University)

Email: bogdanovich@ssau.ru

Russian Federation

Doctor of Technical Science

Professor of the Department of Aircraft Construction and Quality Management in Engineering

A. N. Plotnikov

Samara StateAerospace University named after academician S. P. Korolyov (National Research University)

Email: metatlas@yandex.ru

Russian Federation

Candidate of Technical Science

Senior Lecturer of the Department of Aircraft Construction and Quality Management in Engineering

V. A. Plotnikov

Samara StateAerospace University named after academician S. P. Korolyov (National Research University)

Email: metatlas@yandex.ru

Russian Federation

Student of the Faculty of Aircraft Construction

M. V. Ryzhakov

Moscow Physico-Technical Institute

Email: barvinok@ssau.ru

Russian Federation

Senior Lecturer

References

  1. GOST R - 2001. Methods of statistical process control [Text]. - M., 2001.
  2. Chekmarev, A. N. Methods of statistical quality control [Text] / A. N. Chekmarev, V. A. Barvinok, V. V. Shalavin. - M.: Mashinostroenyie, - p.
  3. Smirnov, N. V. Probabilitiys theory and mathematical statistics in engineering (common part) [Text] / N. V. Smirnov, I. V. Dunin-Barkovskyi. - M.: Nauka, - p.
  4. Kramer, G. Methods of mathematical statistic [Text] / G. Kramer. - M.: Mir, - p.
  5. Plotnikov,A. N. Statistical modeling and system analysis of technological processes [Text] / A. N. Plotnikov. - Samara: SSAU publishing house, - p.

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