Sample selection method based on Weibull distribution and right truncation data estimation reliability

A Weibull distribution, right-truncated data technology, applied in electrical digital data processing, special data processing applications, calculations, etc., to achieve the effect of simple method, wide applicability, and strong operability

Active Publication Date: 2019-08-09
NORTHEASTERN UNIV
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Problems solved by technology

However, commonly used reliability assessment studies are often based on the two-parameter Weibull distribution, that is, the location parameter is specified as zero, which means that the random variables of the life data are distributed from zero to infinite dispersion

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  • Sample selection method based on Weibull distribution and right truncation data estimation reliability
  • Sample selection method based on Weibull distribution and right truncation data estimation reliability
  • Sample selection method based on Weibull distribution and right truncation data estimation reliability

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Embodiment Construction

[0047] The present invention will be further elaborated below in conjunction with the accompanying drawings of the description.

[0048] A kind of sample selection method based on Weibull distribution and right censored data estimation reliability of the present invention comprises the following steps:

[0049] 1) Determine that the research object obeys the shape parameters of the three-parameter Weibull distribution;

[0050] 2) Estimate the position parameter and scale parameter in the three-parameter Weibull distribution by using the relationship between the median rank of product failure probability and the sample size;

[0051] 3) According to the specific situation of the research object, use the shape parameter, position parameter and scale parameter of the three-parameter Weibull distribution to establish the right censored data truncation principle of the product life probability distribution.

[0052] Step 1) determines the shape parameter of the three-parameter We...

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Abstract

The invention discloses a sample selection method based on Weibull distribution and right truncation data estimation reliability. The sample selection method comprises the following steps of 1) determining that a research object obeys the three-parameter Weibull distribution and the shape parameters; 2) estimating the position parameters and the scale parameters in the three-parameter Weibull distribution by using the relation between the bit rank and the sample size in the product failure probability; and 3) establishing a right truncation data truncation principle of the product life probability distribution by utilizing the shape parameters, the position parameters and the scale parameters of the three-parameter Weibull distribution according to the specific condition of the research object. According to the method, a shorter observation sample is discarded; the reliability analysis efficiency of estimating the product within the observation life time is improved to the maximum extent; the number of the practical application samples is reduced, the reliability analysis efficiency of the products based on the right truncation data is improved, and the method is especially suitable for the reliability analysis of the small-sample right truncation data products, is simple, has strong operability, has no special requirements for product types of the specific research objects, and has wide applicability.

Description

technical field [0001] The invention relates to a sample selection method, in particular to a sample selection method based on Weibull distribution and right censored data estimation reliability. Background technique [0002] For high-quality and long-life products, it will take a long time to observe or test to obtain product failure data. Therefore, in many cases, reliability assessment using product life data can only rely on right-truncated life data. Usually, traditional life estimation methods are suitable for full-sample life data processing, but not suitable for right-censored life data only. At present, more and more attention has been paid to the research on product reliability estimation methods based on non-failure life data, including reliability test method, life distribution parameter estimation method, optimal confidence limit analysis method, modified likelihood function method and degenerate failure model statistical method. analysis and so on. Martz and...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F2119/04G06F30/20
Inventor 谢里阳吴宁祥
Owner NORTHEASTERN UNIV
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