GB/T 4087-2009Statistical interpretation of data - One-sided confidence lower limit of reliability for binomial distribution (English PDF)
数据的统计处理和解释 二项分布可靠度单侧置信下限
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Issued by
SAMR; SAC
Level / Type
National · Recommended
Issue date
October 15, 2009
Implementation date
December 1, 2009
Scope
GB/T 4087-2009 is the English-translated version of 数据的统计处理和解释 二项分布可靠度单侧置信下限.
GB/T 4087-2009 is the Chinese standard "Statistical interpretation of data - One-sided confidence lower limit of reliability for binomial distribution".
Its scope clause reads: Products from the population randomly and independently drawn a number of individuals as a sample, this standard specifies the sample is determined based on such a reliable product Sided lower confidence limit of the method.
Limited overall, provided its size is N, the sample size for the shape. When the extraction is sampling with replacement, or when pumping Take a sample without replacement, but like /N< 0.1 when, like secondary extraction can be considered independent.
This standard applies to the product test results in success, the failure of the two states sided reliability confidence lower limit estimates for this technology can also be used Scenario of other occasions.
Its clauses include terms, definitions and symbols; sided reliability confidence lower limit of determination.
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Document preview — GB/T 4087-2009
National Standard of the People's Republic of China
- ICS
- 03.120.30
- Classification
- A 41
- Replacing
- GB/T 4087.3-1985
Issued by: State Administration for Market Regulation; Standardization Administration of the PRC
Contents
- Introduction
- 1 Scope
- 2 Normative references
- 3 Terms, definitions and symbols
- 3.1 Terms and definitions
- 3.2 Symbols
- 4 sided reliability confidence lower limit of determination
- 4.2 lookup table to determine the reliability of unilateral lower confidence limit (see Appendix A in Table A.1)
- Appendix A (normative) Binomial Distribution Reliability sided lower confidence limit RL Number Table
- Annex B (informative) Binomial Distribution Reliability sided lower confidence limit of the approximate formula
1 Scope
Products from the population randomly and independently drawn a number of individuals as a sample, this standard specifies the sample is determined based on such a reliable product
Sided lower confidence limit of the method. Limited overall, provided its size is N, the sample size for the shape. When the extraction is sampling with replacement, or when pumping
Take a sample without replacement, but like /N< 0.1 when, like secondary extraction can be considered independent.
This standard applies to the product test results in success, the failure of the two states sided reliability confidence lower limit estimates for this technology can also be used
Scenario of other occasions.
2 Normative references
The following documents contain provisions which, through reference in this standard and become the standard terms. For dated references, subsequent
Amendments (not including errata content) or revisions do not apply to this standard, however, encourage the parties to the agreement are based on research
Whether the latest versions of these documents. For undated reference documents, the latest versions apply to this standard.
GB/T 2900.13 Electrotechnical terminology credibility and quality of service (GB/T 2900.13-2008, IEC 60050 (191).1990,
Amd. 1.1999 and Amd. 2.2002, IDT)
GB/T 3358.1 Statistics Vocabulary and symbols - Part 1. General statistical terms and terms (GB/T 3358.1- for Probability
2009, ISO 3534-1.2006, IDT)
GB/T 3358.2 Statistics Vocabulary and symbols - Part 2. Applied Statistics (GB/T 3358.2-2009, ISO 3534-2.2006,
IDT)
3 Terms, definitions and symbols
3.1 Terms and Definitions
GB/T 2900.13, terms and definitions GB/T 3358.1 and GB/T 3358.2 established apply to this standard. For ease of reference, a
These terms are directly from the above criteria.
3.2 Symbol
GB/T 3358.1 and GB/T 3358.2 established and the following symbols apply to this standard.
Shaped sample size
gamma confidence level
RL sided reliability confidence lower limit
F is the number of failed test results
4 sided reliability confidence lower limit of determination
4.1 reliability formula of one-sided lower confidence limit
Like the sample size, the number of failures F, in the confidence level gamma, one-sided lower confidence limit of reliability R RL calculated by the following formula.
F = 0, RL =
1- Sang gamma (1)
F > 0, sigma
X0 = 0
Like () x0 RL shape - x0 (1-RL) x0 = 1-gamma (2)
Like F = -1, RL = 1-
Sang gamma (3) […]
......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 41 pages — is available in the English PDF.
Referenced standards
Similar standards
Editions of GB/T 4087
| Edition | Title | Revision | Status |
|---|---|---|---|
| GB/T 4087-2009 | Statistical interpretation of data - One-sided confidence lower limit of reliability for binomial distribution | current edition | Current |
| GB/T 4087.3-1985 | Statistical interpretation of data - One-sided confidence lower limit of reliability for binomial distribution | previous edition | Superseded |
This page sells the current edition, GB/T 4087-2009. Earlier editions are listed for reference only.
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