Estimation Method of Confidence Interval of Weibull Distribution Parameters Based on Nonlinear Fitting
A technology of Weibull distribution and nonlinear fitting, applied in the field of reliability statistics, can solve the problem that the confidence interval estimation of Weibull distribution parameters cannot be given, etc.
- Summary
- Abstract
- Description
- Claims
- Application Information
AI Technical Summary
Problems solved by technology
Method used
Image
Examples
Embodiment Construction
[0037] The present invention will be described in further detail below in conjunction with examples.
[0038] This example utilizes the failure time data of a group of 9 sample products, and the failure times of these 9 sample products are respectively 96.9, 100.3, 100.8, 122.6, 103.3, 103.4, 105.4, 151.3 and 162.4 (hours), the specific method of the present invention as follows:
[0039] In the first step, the nine failure time data are arranged in ascending order as 96.9, 100.3, 100.8, 103.3, 103.4, 105.4, 122.6, 151.3 and 162.4. Next, according to That is, formula (4) estimates that the corresponding failure probability estimates of each failure time data are 0.0745, 0.1809, 0.2872, 0.3936, 0.5, 0.6064, 0.7128, 0.8191 and 0.9255, and then use the error function, namely formula (3), based on the trust region The point estimate of the Weibull distribution parameters obtained by the reflection method is and .
[0040] In the second step, let the Weibull distribution fu...
PUM
Abstract
Description
Claims
Application Information
- R&D Engineer
- R&D Manager
- IP Professional
- Industry Leading Data Capabilities
- Powerful AI technology
- Patent DNA Extraction
Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.
© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com