GB/T 8055-2009Statistical interpretation of data - Parameter estimation for gamma distribution (Pearson III distribution) (English PDF)
数据的统计处理和解释 Г分布（皮尔逊III型分布）的参数估计
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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 8055-2009 is the English-translated version of 数据的统计处理和解释 Г分布（皮尔逊III型分布）的参数估计.
GB/T 8055-2009 is the Chinese standard "Statistical interpretation of data - Parameter estimation for gamma distribution (Pearson III distribution)". Its scope clause reads: This standard specifies the method Gamma distribution parameter estimation based on observations.
This standard applies to Gamma overall distribution parameter estimation; measurement, testing, survey data obtained, if by theoretical analysis, judgment or experience After statistical tests, could reasonably be considered to come from the overall distribution of Gamma, is available according to the criteria to determine the point Gamma distribution parameters and interval estimation. Its clauses include distribution; terms, definitions and symbols.
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Document preview — GB/T 8055-2009
National Standard of the People's Republic of China
- ICS
- 03.120.30
- Classification
- A 41
- Replacing
- GB/T 8055-1987
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
- 4.1 point two-parameter Gamma Distribution Parameter Estimation
- 5.1 m1 parameter confidence interval (m1 > 1)
- 5.2 Parameter Chou confidence interval
- Appendix A (normative) density function
1 Scope
This standard specifies the method Gamma distribution parameter estimation based on observations.
This standard applies to Gamma overall distribution parameter estimation; measurement, testing, survey data obtained, if by theoretical analysis, judgment or experience
After statistical tests, could reasonably be considered to come from the overall distribution of Gamma, is available according to the criteria to determine the point Gamma distribution parameters and interval estimation.
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 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)
GB/T 4086.1 Tables for statistical distributions normal
GB/T 4086.2 Tables for statistical distributions chi
2 Distribution
3 Terms, definitions and symbols
3.1 Terms and Definitions
GB/T 3358.1 and GB/T 3358.2 and established the following terms and definitions apply to this standard.
3.1.1
Third-order central moments cubic ratio of the standard deviation of the population.
CS = EX- () [] EX 3/EX- () [] EX Sang () 2
3.1.2 Like observations of a like product
Power.
Su x0 = Pi
3.1.3
And the ratio of the derivative of the function Gamma Gamma function.
Psi () m1 = Gamma () 'm1/Gamma () or m1 dGamma () m1 d m1
/ Gamma () () m1
3.1.4
Interval estimation of parameters [theta] (T0, T1), wherein a statistic limit interval T0, T1, satisfies P [T0 < theta < T1] >=1-alpha.
Note 1. The degree of confidence reflects the proportion of the long sequence is repeated under the same conditions of random sampling, the confidence interval contains the true value of the parameter. Confidence interval does not reflect the concept of […]
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This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 16 pages — is available in the English PDF.
Similar standards
Editions of GB/T 8055
| Edition | Title | Revision | Status |
|---|---|---|---|
| GB/T 8055-2009 | Statistical interpretation of data - Parameter estimation for gamma distribution (Pearson III distribution) | current edition | Current |
| GB/T 8055-1987 | Statistical interpretation of data - Parameter estimation for gamma distribution (Pearson III distribution) | previous edition | Superseded |
This page sells the current edition, GB/T 8055-2009. Earlier editions are listed for reference only.
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