ДСТУ EN 61649:2022 Аналіз Вейбулла (EN 61649:2008, IDT; IEC 61649:2008, IDT)



ДСТУ EN 61649:2022
(EN 61649:2008, IDT; IEC 61649:2008, IDT)

Аналіз Вейбулла

 
   
 
Не є офіційним виданням.
Офіційне видання розповсюджує національний орган стандартизації
(ДП «УкрНДНЦ» http://uas.gov.ua)

Contents

INTRODUCTION

1 Scope

2 Normative references

3 Terms, definitions, abbreviations and symbols

3.1 Terms and definitions

3.2 Abbreviations

3.3 Symbols

4 Application of the techniques

5 The Weibull distribution

5.1 The two-parameter Weibull distribution

5.2 The three-parameter Weibull distribution

6 Data considerations

6.1 Datatypes

6.2 Time to first failure

6.3 Material characteristics and the Weibull distribution

6.4 Sample size

6.5 Censored and suspended data

7 Graphical methods and goodness-of-fit

7.1 Overview

7.2 How to make the probability plot.

7.3 Hazard plotting

8 Interpreting the Weibull probability plot

8.1 The bathtub curve

8.2 Unknown Weibull modes may be "masked"

8.3 Small samples

8.4 Outliers

8.5 Interpretation of non-linear plots

9 Computational methods and goodness-of-fit

9.1 Introduction

9.2 Assumptions and conditions

9.3 Limitations and accuracy

9.4 Input and output data

9.5 Goodness-of-fit test 27

9.6 MLE - point estimates of the distribution parameters

9.7 Point estimate of the mean time to failure

9.8 Point estimate of the fractile (10 %) of the time to failure

9.9 Point estimate of the reliability at time t

9.10 Software programs

10 Confidence intervals

10.1 Interval estimation of 7

10.2 Interval estimation of 77

10.3 MRR Beta-binomial bounds

10.4 Fisher's Matrix bounds

10.5 Lower confidence limit for 5.10

10.6 Lower confidence limit for R

11 Comparison of median rank regression (MRR) and maximum likelihood (MLE) estimation methods

11.1 Graphical display

11.2 В life estimates sometimes known as В or L percentiles

11.3 Small samples

11.4 Shape parameter

11.5 Confidence intervals

11.6 Single failure

11.7 Mathematical rigor

11.8 Presentation of results

12 WeiBayes approach

12.1 Description

12.2 Method

12.3 WeiBayes without failures

12.4 WeiBayes with failures

12.5 WeiBayes case study

13 Sudden death method

14 Other distributions

Annex A (informative) Examples and case studies

Annex В (informative) Example of computations

Annex C (informative) Median rank tables

Annex D (normative) Statistical Tables

Annex E (informative) Spreadsheet example

Annex F (informative) Example of Weibull probability paper

Annex G (informative) Mixtures of several failure modes

Annex H (informative) Three-parameter Weibull example

Annex I (informative) Constructing Weibull paper

Annex J (informative) Technical background and references

Bibliography