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GB/T 4087-2009 English PDF

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GB/T 4087-2009: Statistical interpretation of data -- One-sided confidence lower limit of reliability for binomial distribution
Status: Valid

GB/T 4087: Historical versions

Standard IDUSDBUY PDFLead-DaysStandard Title (Description)Status
GB/T 4087-20091129 Add to Cart 8 days Statistical interpretation of data -- One-sided confidence lower limit of reliability for binomial distribution Valid
GB/T 4087.1-1983199 Add to Cart 2 days Statistical interpretation of data--Point estimation of parameter in binomial distribution Obsolete

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GB/T 2828.1   GB/T 6379.6   GB/T 2828.2   GB/T 6378.3   GB/T 4089   GB/T 4088   

Basic data

Standard ID: GB/T 4087-2009 (GB/T4087-2009)
Description (Translated English): Statistical interpretation of data -- One-sided confidence lower limit of reliability for binomial distribution
Sector / Industry: National Standard (Recommended)
Classification of Chinese Standard: A41
Classification of International Standard: 03.120.30
Word Count Estimation: 51,531
Date of Issue: 2009-10-15
Date of Implementation: 2009-12-01
Older Standard (superseded by this standard): GB/T 4087.3-1985
Quoted Standard: GB/T 2900.13; GB/T 3358.1; GB/T 3358.2
Regulation (derived from): Announcement of Newly Approved National Standards No. 11 of 2009 (No. 151 overall)
Issuing agency(ies): General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, Standardization Administration of the People's Republic of China
Summary: This standard specifies the type of samples to determine the product reliability based on one-sided confidence limit approach. For finite population, set its size is N, the sample size to n. When the extraction is sampling with replacement, or when extraction is sampling without replacement, but n/

GB/T 4087-2009: Statistical interpretation of data -- One-sided confidence lower limit of reliability for binomial distribution


---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order.
Statistical interpretation of data. One-sided confidence lower limit of reliability for binomial distribution ICS 03.120.30 A41 National Standards of People's Republic of China Replacing GB/T 4087.3-1985 Statistical processing and interpretation of data Binomial Distribution Reliability sided lower confidence limit Posted 2009-10-15 2009-12-01 implementation Administration of Quality Supervision, Inspection and Quarantine of People's Republic of China Standardization Administration of China released

Table of Contents

Preface Ⅰ Introduction Ⅱ 1 Scope 1 2 Normative references 1 3 Terms, definitions and symbols 1 3.1 Terms and definitions 3.2 Symbols 1 4 sided reliability confidence lower limit of determination 1 The formula sided reliability confidence lower limit of 4.1 of 1 4.2 lookup table to determine the reliability of unilateral lower confidence limit (see Appendix A in Table A.1) 2 Appendix A (normative) Binomial Distribution Reliability sided lower confidence limit RL Number Table 3 Annex B (informative) Binomial Distribution Reliability sided lower confidence limit of the approximate formula 45

Foreword

"Data processing and interpretation of the statistics" includes the following national standards. Statistical processing and interpretation --- GB/T 3359 statistical data to determine the tolerance interval Statistical interpretation of comparison in the case of two paired observations mean --- GB/T 3361 data Statistical interpretation of Binomial Distribution Reliability sided lower confidence limit --- GB/T 4087 data --- Statistical processing and interpretation binomial distribution parameters GB/T 4088 Estimation and Test Data --- Statistical processing and interpretation of the Poisson distribution parameters GB/T 4089 Estimation and test data --- GB/T 4882 Statistical interpretation of data normality test --- Analyzing and processing GB /statistical processing and interpretation of normal sample outliers T 4883 data --- GB/T 4885 Normal distribution complete reliability lower confidence limit --- GB /statistical processing and interpretation of the mean and variance of normal distribution of data T 4889 Estimation and Testing --- GB Statistical interpretation of normal distribution mean and variance test the efficacy/T 4890 data --- GB /Statistical interpretation Γ distribution (Pearson Ⅲ distribution) parameters T 8055 data estimates --- GB /statistical processing and interpretation of data distribution index T 8056 judgment and sample handling outliers Analyzing and Processing --- GB /statistical processing and interpretation of Type Ⅰ extreme value distribution of the sample outliers T 6380 data --- GB /statistical processing and interpretation of test results of multiple comparisons of data T 10092 --- GB/T 10094 quantile normal confidence limits and coefficient of variation "Binomial statistical processing and interpretation of data reliability sided lower confidence limit" This standard replaces GB/T 4087.3-1985. This standard and GB/T 4087.3-1985 compared to the main changes are as follows. --- According to GB/T 1.1-2000 "Standardization Guide Part 1. Standard structure and write rules," the requirements of the standard format It has been revised; --- According to GB/T 3358.1-2009 "Statistics Vocabulary and symbols - Part 1. General statistical terms and terms used in probability" repair He changed the terminology, and added a number of terms, symbols and definitions; --- Appendix A significant digits from the original five increased to seven; --- Appendix B Calculation Program Change by the BASIC language to S-PLUS language. Appendix A of this standard is a normative appendix, Appendix B is an informative annex. Application of this standard by the National Standardization Technical Committee on statistical methods (SAC/TC21) and focal points. This standard was drafted. Northeast Normal University, Beijing University, China National Institute of Standardization. The main drafters. Zhang school, room Zhong Xiang, Li Dan, Ding Wenxing, where to vibration and so on. This standard replaces the standards previously issued as follows. --- GB/T 4087.3-1985.

Introduction

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. Randomly and independently drawn from a number of individuals in the population as a sample product, based on this standard specifies such kind The product is determined sided reliability confidence lower limit of the method. The main contents of this standard to the number of tables in the form of lists, but some parameters may not be the case in the table, then you can by Appendix B of Approximate formula can also be used in Appendix B S-PLUS program directly calculated. Statistical processing and interpretation of data Binomial Distribution Reliability sided lower confidence limit

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 γ 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 γ, one-sided lower confidence limit of reliability R RL calculated by the following formula. F = 0, RL = 1- Sang γ (1) F > 0, Σ X0 = 0 Like () x0 RL shape - x0 (1-RL) x0 = 1-γ (2) Like F = -1, RL = 1- Sang γ (3)
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