Measurement uncertainties in science and technology

著者

• Grabe, M

書誌事項

Measurement uncertainties in science and technology

Michael Grabe

Springer, c2005

内容説明・目次

内容説明

In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauss' error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.

目次

Characterization, Combination and Propagation of Errors.- Basic Ideas of Measurement.- Formalization of Measuring Processes.- Densities of Normal Parent Distributions.- Estimators and Their Expectations.- Combination of Measurement Errors.- Propagation of Measurement Errors.- Least Squares Adjustment.- Least Squares Formalism.- Consequences of Systematic Errors.- Uncertainties of Least Squares Estimators.- Special Linear and Linearized Systems.- Systems with Two Parameters.- Systems with Three Parameters.- Special Metrology Systems.

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詳細情報

• NII書誌ID(NCID): BA71743723
• ISBN:
  • 3540209441
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: xi, 269 p.
• 大きさ: 24 cm
• 分類:
  • DC22 : 511.43
• 件名:
  • LCSH : Mensuration
  • LCSH : Error analysis (Mathematics)
  • LCSH : Instrumental variables (Statistics)