Compound truncated Poisson gamma distribution for understanding multimodal SAR intensities

Nascimento, Abraão D. C.; Rêgo, Leandro Chaves; Silva, Jonas W. A.

doi:10.1080/02664763.2022.2028130

Cited by 1 publication

(2 citation statements)

References 39 publications

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“…Furthermore, there are numerous studies in the current year that have focused on the application aspects of the Gamma distribution 30 – 38 . In details, the extreme values of two probability functions for the Gamma distribution were investigated by Sun et al 34 in their study published in the Journal of Scientific Reports.…”

Section: Introductionmentioning

confidence: 99%

“…Masmoudi and Rejeb 37 explored the asymptotic behavior and parameter estimation of the infinitely divisible matrix gamma distribution, which was published in Statistics and Probability Letters. Nascimento et al 38 proposed a compound truncated Poisson gamma distribution to understand multimodal SAR intensities in the Journal of Applied Statistics.…”

Section: Introductionmentioning

confidence: 99%

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Symmetry of gamma distribution data about the mean after processing with EWMA function

Hamasha,

Obeidat,

Alzoubi

et al. 2023

Sci Rep

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Statistical Process Control (SPC) plays a vital role in maintaining quality and reducing variability in manufacturing processes. Among SPC techniques, the Exponentially Weighted Moving Average (EWMA) stands out for its ability to detect small process shifts quickly, making it a valuable tool in ensuring product consistency and preventing quality issues. EWMA constructs control charts to monitor process mean shifts, tracks product/service quality by identifying variations, and monitors manufacturing process parameters for early detection of deviations and necessary adjustments. EWMA control chart has been proposed as an alternative to the Shewhart control chart. Sequential measurements are processed using the EWMA function before being placed on the control chart. One of the crucial concerns about the EWMA control chart is the asymmetry of the data around the mean. Although processing with the EWMA function reduces data skewness, the problem of asymmetric data may not be solved. The control chart is designed to leave in front of the upper control limit (UCL) α/2 of the data and behind the lower control limit (LCL) another α/2 of the data, and this does not occur in the case of symmetric data. α/2 represents the significance level for each tail in a two-tailed hypothesis test, indicating the probability of incorrectly rejecting the null hypothesis for each side of the distribution. Since many of the distributions in real life can be approximated by the Gamma distribution, the Gamma distribution was adopted in this study. The Monte Carlo simulation methodology was implemented to generate Gamma distributed data, process it with EWMA function and assess the skewness and kurtosis. The purpose of this paper is to evaluate the effect of EWMA parameters on the performance of the EWMA control chart. Moreover, it focuses on skewness and kurtosis reduction after data processing using the EWMA function. The findings help researchers and practitioners to select the best parameters. Further, the research investigates the effect of EWMA parameter on the shape of distribution.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%