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GB/T 4089-2008 English PDF

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GB/T 4089-2008: Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distribution
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GB/T 4089: Evolution and historical versions

Standard IDContents [version]USDSTEP2[PDF] delivered inStandard Title (Description)StatusPDF
GB/T 4089-2008English419 Add to Cart 3 days [Need to translate] Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distribution Valid GB/T 4089-2008
GB/T 4089-1983English199 Add to Cart 2 days [Need to translate] Statistical interpretation of data--Estimation of parameter in Poisson distribution Obsolete GB/T 4089-1983

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Basic data

Standard ID GB/T 4089-2008 (GB/T4089-2008)
Description (Translated English) Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distribution
Sector / Industry National Standard (Recommended)
Classification of Chinese Standard A41
Classification of International Standard 03.120.30
Word Count Estimation 18,140
Date of Issue 2008-07-16
Date of Implementation 2009-01-01
Older Standard (superseded by this standard) GB/T 4089-1983; GB/T 4090-1983
Quoted Standard GB/T 4086.1; GB/T 4086.2; ISO 3534-1: 2006; ISO 3534-2: 2006
Regulation (derived from) Announcement of Newly Approved National Standards No. 12 of 2008 (No. 125 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 measurement of CANDU nuclear power plant fuel element package filled tube wall graphite coating thickness and the bottom surface of the support, isolation block on the side of the thickness of the iron coating feeds, standard samples, equipment and fixtures, measuring environmental conditions, measurement procedures, etc. content. This standard applies to CANDU nuclear power plant fuel element cladding tube wall graphite coating thickness measurement and supporting the bottom surface, isolated blocks side by side the amount of coating thickness, the amount can range from the side (0 ~ 30) ��m.

GB/T 4089-2008: Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distribution


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Statistical interpretation of data Estimation and hypothesis test of parameter in Poisson distribution ICS 03.120.30 A41 National Standards of People's Republic of China Replacing GB/T 4089-1983, GB/T 4090-1983 Statistical processing and interpretation of data Poisson distribution parameter estimation and testing Posted 2008-07-16 2009-01-01 implementation Administration of Quality Supervision, Inspection and Quarantine of People's Republic of China Standardization Administration of China released

Table of Contents

Introduction Ⅲ Introduction Ⅳ 1 Scope 1 2 Normative references 1 3 Terms, definitions and symbols 1 3.1 Terms and definitions 3.2 Symbols 1 4 Parameter Estimation 2 4.1 point estimate 2 4.2 Interval Estimation 2 Poisson distribution parameter test 5 5 5.1 null hypothesis and alternative hypothesis 5 5.2 two-sided test H0. λ = λ0 H1. λ ≠ λ0 5 5.3 one-sided test H0. λ≤λ0 H1. λ > λ0 6 5.4 one-sided test H0. λ≥λ0 H1. λ < λ0 7 Appendix A (normative) significance tests of two types of errors 8 Bayesian estimation methods Appendix B (informative) interval estimation 12 Annex C (informative) Equivalent test method 13

Foreword

This standard is GB/T 4089-1983 "estimate statistical processing and interpretation of Poisson distribution parameter data" and GB/T 4090- 1983 "Test processing and interpretation of statistical Poisson distribution parameter data" integration is made on the basis of this standard replaces GB/T 4089- 1983 and GB/T 4090-1983. This standard and GB/T 4089-1983 and GB/T 4090-1983 compared to change the technical content Technology including. --- Increased terminology, symbols and definitions; --- Increase the P value of the test in Appendix C. Appendix A of this standard is a normative appendix, Appendix B and Appendix C are informative appendices. The standard proposed by China National Institute of Standardization. Application of this standard by the National Standardization Technical Committee on statistical methods. This standard drafting units. China National Institute of Standardization, Guangzhou Product Quality Supervision and Inspection Institute, Beijing University, Wuxi City Product Quality Supervision Control, Fuzhou Chun Lun Tea Limited. The main drafters of this standard. YU Zhen Fan, Dingwen Xing, Deng Suixing Housing Xiang Zhong, CHEN Hua-ying, Great Ideals, Futian Long. This standard replaces the standards previously issued as follows. --- GB/T 4089-1983; --- GB/T 4090-1983.

Introduction

Engaged in scientific research, industrial and agricultural manufacturing and management are inseparable from the data, and these data collation, analysis and interpretation are not from Open statistical methods. Statistics is the study of digital data collation, analysis and correct interpretation of a subject. Each person takes from different sources Have a variety of digital information, which digital materials are usually chaotic, we must organize and abbreviated to use, along with a comprehensive statistical The method can make the data sorting, orderly arranged, graphical or a small amount of several important parameters, it can be characterized by the expression of a lot of data Out, both to avoid incorrect interpretation, but also will be satisfied with the data to minimize costs, improve economic efficiency. National standard "statistical data processing and interpretation" contains the following items. --- Statistical tolerance interval is determined (GB/T 3359) --- Mean estimates and confidence intervals (GB/T 3360) --- In comparing the two paired observations Mean (GB/T 3361) --- Binomial distribution parameter estimation and testing (GB/T 4088) --- Poisson distribution parameter estimation and testing (GB/T 4089) --- Normality test (GB/T 4882) --- Judge and deal with normal sample outliers (GB/T 4883) --- Normal distribution with mean and variance estimation test (GB/T 4889) --- Normal distribution mean and variance test efficacy (GB/T 4890) --- Judge and deal type Ⅰ extreme value distribution of the sample outliers (GB/T 6380) --- Gamma distribution (Pearson Ⅲ distribution) parameter estimation (GB/T 8055) --- Exponential distribution sample outliers judgment and processing (GB/T 8056) "Statistical processing and interpretation of data Poisson distribution parameter estimation and testing," there is no corresponding international standards. Statistical processing and interpretation of data Poisson distribution parameter estimation and testing

1 Scope

The overall standard is based on the Poisson distribution, distribution probability mass function is. P {X = x0/λ} = λ X0! e -λ x0 = 0,1,2 Where λ > 0 is the distribution parameter. X0 independent random sample from this standard based on the overall, x2 ,, x0 shape parameter λ defines the point estimate Meter, interval estimation and testing methods. When there is sufficient reason to believe the overall Poisson distribution, we can use this standard.

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 4086.1 Tables for statistical distributions normal GB/T 4086.2 Tables for statistical distributions χ

2 Distribution

ISO 3534-1.2006 Statistics Vocabulary and symbols - Part 1. General statistical terms and terms used in probability ISO 3534-2.2006 Statistics Vocabulary and symbols - Part 2. Applied Statistics 3 Terms, definitions and symbols ISO 3534-1.2006 and ISO 3534-2.2006 as well as to determine the following terms, definitions and symbols apply to this standard. For ease of reference Test, certain terminology, symbols directly from the above criteria. 3.1 Terms and Definitions ISO 3534-1.2006 and ISO 3534-2.2006 to determine the terms and definitions apply to this standard. 3.2 Symbol Shaped sample size Poisson distribution parameter λ λL lower confidence limit of the interval estimation of λ λU confidence interval estimation of the upper limit of the λ α level of significance Specified value β type II error probability. α '< significant test> Type I error probability, the null hypothesis is true, the probability that the null hypothesis is rejected β < significant test> type II error probability 'error when the null hypothesis, the probability of the null hypothesis of no refusal H0 < significant test> null hypothesis H1 < significant test> alternative hypothesis The probability P (A) of the event A T sample observations x1, x2 ,, sum x0 shaped, T = Σ 1-α < interval estimation> confidence level

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