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IEC 60605-4:2001, 指數分佈統計程序-點推定信賴區間預測區間...

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IEC 60605-4:2001, 指數分佈統計程序-點推定、信賴區間、預測區間、及容差區間 (IEC 60605-4:2001, Equipment Reliability Testing - Part 4: Statistical Procedures for Exponential Distribution - Point Estimates, Confidence Intervals, Prediction Intervals, and Tolerance Intervals)

出版歷史:

[*]ed 2.0, 2001-08-14, 65 pages in EN-FR and 38 pages in EN. (Stability Date: 2016)
[*]ed 1.0, 1986-07-31, 53 pages.


Abstract:
Provides statistical methods for evaluating point estimates, confidence intervals, prediction intervals and tolerance intervals for the failure rate of items whose time to failure follows an exponential distribution.  

從IEC官網下載IEC 60605-4:2001目錄


Table of Contents

1. Scope
2. Normative References
3. Definitions and Symbols

4. Assumptions and Requirements
    4.1 Assumptions and Information Required for Point Estimates and Confidence Intervals
    4.2 Assumptions and Requirements for Prediction Intervals
    4.3 Assumptions and Requirements for Tolerance Intervals

5. Procedure for Calculating Point Estimates and Confidence Intervals
    5.1 Time Terminated Tests
          5.1.1 Point Estimates
          5.1.2 Confidence Limits
    5.2 Analytical Procedure - Failure Terminated Tests
          5.2.1 Point Estimate
          5.2.2 Confidence Intervals

6. Prediction Intervals for the Number of Failures in a Future Period
    6.1 Two-Sided Prediction Intervals rL2 and rU2
    6.2 One-Sided Prediction Interval

7. Procedure for Assigning Tolerance Intervals
    7.1 Upper Poisson Tolerance Bound
    7.2 Lower Poisson Tolerance Bound

Annex A (informative) Examples
    A.1 Point Estimate of MTTF
    A.2 Application of Lower One-Sided 90 % Confidence Limit on Mean TIme To Failure (MTTF)
    A.3 Application of Two-Sided 90 % Confidence Limits on MTTF
    A.4 Application of a Tow-Sided Prediction Interval
    A.5 Application of Upper 90 % Tolerance Bound at 95 % Confidence
    A.6 Application of Lower 90 % Tolerance Bound at 95 % Confidence

Annex B (informative) Relation between Confidence, Prediction and Tolerance Intervals
    B.1 Confidence Intervals
    B.2 Prediction Intervals
    B.3 Tolerance Intervals

Annex C (normative) Computation of Accumulated Test Time T*
    C.1 Case 1, One Repaired Item with Constant Failure Intensity
    C.2 Case 2, More than One Repaired Item with Identical Constant Failure Intensities
    C.3 Case 3, Non-Repaired Items

Annex D (normative) Tables of Fractiles of the Chi-Squared Distribution: χα2(ν)

Annex E (normative) 0.95 Fractiles of the F Distribution

Bibliography

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