Rayleigh distribution-based product performance consistency test method

Abstract

The invention provides a Rayleigh distribution-based product performance consistency test method. The method comprises the following steps: obtaining performance parameters of a plurality of products;selecting two groups of measurement data samples from the performance parameters, wherein the two groups of samples obey Rayleigh distribution; respectively estimating Rayleigh distribution parameters of the two groups of measurement data samples according to the two groups of samples; obtaining intersection points of Rayleigh distribution probability density function curves of the two groups ofsamples; then obtaining the area of the overlapped part of Rayleigh distribution probability density functions of the two groups of samples and the abscissa axis as consistency measurement; and finally, comparing the area with a given significance level or confidence level, and determining whether the two groups of samples have consistency under the given confidence level. The consistency test method does not depend on sufficient statistics, but defines consistency measurement from the concept and mathematical significance of a probability density function, and avoids the difficulty of constructing the sufficient statistics.

Description

Technical field [0001] The invention relates to the technical field of product performance consistency inspection methods, in particular to a product performance consistency inspection method based on Rayleigh distribution. Background technique [0002] In some engineering fields, such as the amplitude envelope of flat fading signals in signal processing, the transverse modulus of thrust lines of rocket engines or aero engines, and the amount of thrust line deflection, the measured data all obey the Rayleigh distribution. When measuring these physical quantities in multiple batches, two or more sets of different data are obtained. It is necessary to determine whether the two or more sets of data obey the same Rayleigh distribution to determine the source of the signal or the product production process in multiple batches. Consistency (if there are multiple sets of data, you can analyze them in pairs). [0003] In engineering practice, two different sets of measurement data that ob...

AI Technical Summary

Problems solved by technology

For the Rayleigh distribution, so far it is not clear which distribution form its sample statistics are related to, so it is difficult to use the method of constructing sample statistics for consistency testing, and there is currently no good solution to this problem

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