Methods and Applications of Statistics in Engineering, Quality Control, and the Physical Sciences

Inspired by the Encyclopedia of Statistical Sciences, Second Edition (ESS2e), this volume presents a concise, well-rounded focus on the statistical concepts and applications that are essential for understanding gathered data in the fields of engineering, quality control, and the physical sciences. The book successfully upholds the goals of ESS2e by combining both previously-published and newly developed contributions written by over 100 leading academics, researchers, and practitioner in a comprehensive, approachable format. The result is a succinct reference that unveils modern, cutting-edge approaches to acquiring and analyzing data across diverse subject areas within these three disciplines, including operations research, chemistry, physics, the earth sciences, electrical engineering, and quality assurance. In addition, techniques related to survey methodology, computational statistics, and operations research are discussed, where applicable. Topics of coverage include: optimal and stochastic control, artificial intelligence, quantum mechanics, and fractals. Preface.

Contributors.

1. Accelerated Life Testing.

2. Advances in Robust Parameter Design: From Taguchi’s Inner Outer Arrays to Combined Arrays.

3. Applicability of Statistics and Probability Theory to Nucleate Pool Boiling Heat Transfer.

4. Application of Statistics in International Standardization.

5. Capability.

6. Change-Point Analysis.

7. Chaos.

8. Chemometrics.

9. Coherent Structure Theory.

10. Control Charts.

11. Cumulative Sum Control Charts.

12. Degradation Models and Analyses.

13. Detection in Communications and Radar.

14. Directional Statistics, I.

15. Directional Statistics, II.

16. Engineering Statistics.

17. Fractal Dimensions and Estimation.

18. Fractals.

19. Hausdorff Dimension.

20. Information Theory and Coding Theory.

21. Life Testing.

22. Load-Sharing Systems.

23. Multivariate Calibration.

24. Multivariate Quality Control.

25. Nonparametric Methods in Reliability.

26. Nonparametric (Distribution-Free) Quality Control Charts.

27. Optimal Sample Size Allocation for Accelerated Degradation Test Based on Wiener Process.

28. Optimal Stochastic Control.

29. Percolation Theory.

30. Power Law Process.

31. Precedence Testing.

32. Principles of Professional Statistical Practice.

33. Probabilistic Reliability.

34. Quality Concept for Official Statistics.

35. Quality Measurement Plan (QMP).

36. Quantum Mechanics and Probability: An Overview.

37. Quantum Mechanics: Statistical Interpretation.

38. Rainfall, Landforms, and Streamflow.

39. Repairable Systems in Reliability.

40. Sampling Plans.

41. Software Reliability.

42. Statistical Communication Theory.

43. Statistical Methods in Chemistry.

44. Statistical Models for Damage Accumulation.

45. Statistical Quality Control.

46. Statistical Signal Processing.

47. Statistical Software.

48. Statistics in Astronomy.

49. Statistics in Computer Vision.

50. Statistics in Crystallography.

51. Statistics in Industry.

52. Statistics in Meteorology.

53. Statistics in Physics (Early History).

54. Statistics of Earthquakes.

55. Step-Stress.

56. Step-Stress Testing with Multiple Samples: The Exponential Case.

57. Stochastic Mechanics.

58. System Reliability.

59. Taguchi Method for Offline Quality Control.

60. Tolerance Intervals and Tolerance Regions.

61. Wavelets.

Index.

N. BALAKRISHNAN, PhD, is Professor in the Department of Mathematics and Statistics at McMaster University (Canada). He is coeditor of Wiley's Encyclopedia of Statistical Sciences, Second Edition and also serves as Editor in Chief of Communications in Statistics. A Fellow of the American Statistical Association and the Institute of Mathematical Statistics, Dr. Balakrishnan is the coauthor of Precedence-Type Tests and Applications and A Primer on Statistical Distributions, both published by Wiley.

Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume focuses on the essential statistical tools for working with data from engineering, quality control, and the physical sciences

Statistics has a prominent role in the research and analysis process in the fields of engineering, industry, and the physical sciences. As a result, it is essential for professionals to have a complete understanding of statistical techniques that are employed across these areas of study as well as their accurate applications. Methods and Applications of Statistics in Engineering, Quality Control, and the Physical Sciences is a self-contained, one-of-a-kind resource that guides readers through the most effective quantitative techniques for gathering data across diverse areas, including operations research, chemistry, physics, electrical engineering, and quality assurance.

Combining established literature with the latest research developments, this volume features classic articles from the acclaimed Encyclopedia of Statistical Sciences, Second Edition alongside updated contributions written by leading academics and practitioners. The result is a well-rounded compilation that unveils modern approaches to acquiring and analyzing data, reflecting the latest advances in areas such as chemometrics, change-point analysis, percolation theory, and accelerated life testing. In addition, new articles have been written specifically for this volume, exploring cutting-edge topics such as:

• Directional statistics

• Nonparametric quality control

• Degradation models

• Robust parameter design

• Models for damage accumulation

• Step-stress testing

Key statistical tools and concepts, are covered such as fundamentals of probability, discrete and continuous distributions, interval estimation, hypothesis testing, and simple and multiple linear regression. In addition, the book supplies insight on techniques related to survey methodology, computational statistics, and operations research.

Methods and Applications of Statistics in Engineering, Quality Control, and the Physical Sciences is an excellent reference for researchers, managers, consultants, and students in the fields of engineering, quality control, operations research, chemistry, physics, and the related client disciplines.