Sampling by Variables for Rayleigh Distributed Lots

Grigoriev, S. N.; Emelianov, Petr N.; Masterenko, D. A.; Ped, S. E.

doi:10.1007/s11018-022-02099-0

Cited by 3 publications

(5 citation statements)

References 11 publications

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“… unbiased estimate, and, as it is seen from ( 2), 22 2nS  value has chi-squared distribution with 2n degrees of freedom. Based on this, it is easy to build operational characteristics and select the desired control plan [11]. Thus, it is the problem of estimating both unknown distribution parameters that is of interest.…”

Section: Problem Statementmentioning

confidence: 99%

“…Fy by equation (11), taking into account (13), it will be possible to pass to 1  general case according to the equation…”

Section: Theorymentioning

confidence: 99%

“…The calculation of the integral in (11) is impossible in an explicit form, but numerical integration is also difficult due to the relative complexity of the set (12) and the large number of integration variables. As a matter of fact, the result cannot be obtained in a reasonable time at 10 n  , if one tries to do it directly in a computer mathematics system like Matlab.…”

Section: Theorymentioning

confidence: 99%

See 2 more Smart Citations

Estimates of Rayleigh distribution parameters in statistical methods of quality control

Grigoriev,

Emelianov,

Masterenko

et al. 2023

J. Phys.: Conf. Ser.

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The paper considers the problem of estimating of a two-parameter generalization of Rayleigh distribution and finding distributions of estimates. This problem arose from the needs of statistical sampling inspection of dimensions obtained in the production process with certain features of the part basing and cylindrical surface processing. Parameter estimates are found using order statistics. Computational procedures are constructed in the Matlab environment, which make it possible to construct distributions of estimates in the form of tables. The correctness of the calculations was verified using stochastic simulation and the construction of empirical distribution functions of estimates. The results obtained can be used to build operational characteristics of control plans and select control plans with the required producer’s and customer’s risks, as well as to build control charts for statistical control of the manufacturing process.

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Section: Problem Statementmentioning

confidence: 99%

“…Fy by equation (11), taking into account (13), it will be possible to pass to 1  general case according to the equation…”

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

See 1 more Smart Citation

Estimates of Rayleigh distribution parameters in statistical methods of quality control

Grigoriev,

Emelianov,

Masterenko

et al. 2023

J. Phys.: Conf. Ser.

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“…To collect and evaluate the measurement information [24], special software was developed in C++ language and the software component of the system contained two parts:…”

Section: Software and Calibrationmentioning

confidence: 99%

Segmented Four-Element Photodiodes in a Three-Dimensional Laser Beam Angle Measurement

et al. 2023

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Based on the registration of two laser beam projections, a method for measuring the angular deviation of a laser beam from its initial position in three-dimensional space is proposed and experimentally demonstrated. The laser ray is directed into the beam-splitting cube, which distributes the ray into two mutually orthogonal parts, on the path of which, two four-segment photodiodes are located at different distances from the beam-splitting cube. The value of the angular deviation from a certain initial position of the laser beam in three-dimensional space is obtained after the mathematical processing of the measured position of the laser beam projections’ centers in the photodiodes coordinates systems. The innovation of this method is that the resulting angular deviation of the laser beam is in three-dimensional space due to the registration of a pair of projections. The experimental results also demonstrate that the proposed method has a high speed-measuring potential and can be used for solving a wide range of problems.

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“…Although much literature discusses methods to reduce the number of sampling samples or the frequency of sampling, most of them make sampling decisions from a statistical perspective [8][9][10][11][12]. It needs to consider cost factors.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Acceptance Sampling Strategy Based on Product Quality Performance Using Examples from IC Test Factory

Wang

Chang²

2023

Mathematics

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Acceptance sampling plans are divided into attributes and variables, which are used to evaluate the mechanism for determining lot quality. Traditional attribute sampling plans usually choose the Acceptable Quality Level (AQL) for each stage based on experience but need practical guidelines to follow. Previous research endeavors have predominantly centered around statistical perspectives and emphasized the reduction of sample size or sampling frequency while allocating lesser consideration to cost factors and practical applications when formulating sampling decisions. This study proposes a dynamic sampling strategy to minimize costs and estimate AQL values and sample sizes for each stage based on product quality performance to establish a more effective and flexible sampling strategy. The study verifies the scenario in an integrated circuit (IC) testing factory, considering multiple combinations of between-batch quality conditions, within-batch quality conditions, sampling method, and cost ratio, and conducts sampling inspection simulations. When quality changes, the dynamic strategy is activated to adjust AQL. Finally, based on the sampling errors and costs in the inspection results, a comparison is made with the traditional MIL-STD-105E sampling plan, confirming that the dynamic AQL sampling plan has significantly improved performance.

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Sampling by Variables for Rayleigh Distributed Lots

Cited by 3 publications

References 11 publications

Estimates of Rayleigh distribution parameters in statistical methods of quality control

Estimates of Rayleigh distribution parameters in statistical methods of quality control

Segmented Four-Element Photodiodes in a Three-Dimensional Laser Beam Angle Measurement

Dynamic Acceptance Sampling Strategy Based on Product Quality Performance Using Examples from IC Test Factory

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