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2 results about "Chi-squared distribution" patented technology

In probability theory and statistics, the chi-square distribution (also chi-squared or χ²-distribution) with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables. The chi-square distribution is a special case of the gamma distribution and is one of the most widely used probability distributions in inferential statistics, notably in hypothesis testing or in construction of confidence intervals. When it is being distinguished from the more general noncentral chi-square distribution, this distribution is sometimes called the central chi-square distribution.

A method for optimizing parameters of reliability accelerated test of nuclear safety class valve

PendingCN122088026AImprove statistical confidenceSolve the problem of low credibility of assessment resultsDesign optimisation/simulationConstraint-based CADIndustrial engineeringVALVE PORT
This invention relates to the field of nuclear safety equipment testing technology. It provides a method for optimizing parameters in accelerated reliability testing of nuclear safety-grade valves. The method involves the following steps: establishing a correlation model between accelerated stress and life parameters; calculating the acceleration factor and formulating an initial test plan; deriving the theoretical sample size based on the success-failure test method combined with confidence requirements; constructing an extended coefficient table using the range-extended test method to optimize test parameters; generating multiple accelerated test plans through chi-square distribution verification; eliminating plans that do not meet the life characteristic threshold; determining the optimal sample size, number of failures, and test cycle through comprehensive test cost and risk analysis; and finally outputting a complete test plan including the action interval time. This method solves the problems of limited test samples, insufficient failure data, low confidence levels, and difficulty in adapting accelerated models in existing high-reliability valve technologies.
Owner:NUCLEAR POWER INSTITUTE OF CHINA

A GNSS outlier detection method and system based on residual poly-chi-square distribution used on satellite and storage medium

ActiveCN121144914BSatellite radio beaconingChi-squared distributionData transformation
The application provides a GNSS outlier detection method, system and storage medium based on residual multi-order chi-square distribution used on a satellite, comprising the following steps: step one, acquiring the position, velocity and satellite time in the earth-fixed system output by the GNSS; step two, converting the output data of the GNSS into orbital 14 plane roots; step three, calculating the residual and the residual rate of change to make a first heavy outlier judgment, then calculating one-dimensional chi-square test outliers, then calculating two-dimensional chi-square test outliers after the one-dimensional chi-square test is passed, calculating five-dimensional chi-square test outliers after the two-dimensional chi-square test is passed, if all the tests are passed, updating the parameters; if one test is not passed, determining that it is an outlier, and simultaneously counting the continuous invalid times, when the continuous invalid times are greater than a threshold value, the threshold value is adjusted along with the increase of the continuous invalid times, so that the system divergence is avoided. The application has the beneficial effects that the application can obviously improve the rejection rate of outliers, and provides correct data for the use on the satellite.
Owner:HARBIN INSTITUTE OF TECHNOLOGY (SHENZHEN) (INSTITUTE OF SCIENCE AND TECHNOLOGY INNOVATION HARBIN INSTITUTE OF TECHNOLOGY SHENZHEN) +1