A New family of Skew-Normal lifetime Distributions for Industrial Applications

Khorsheed, Eman; Salinas, Hugo S.; Bakouch, Hassan S.

doi:10.1109/icdabi51230.2020.9325590

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…To utilize the relationship between the mean, variation, standard deviation and its height in the generalized normal distribution parameters, and proposes evaluation and real number sets for analysis and explanation. [4] The new deviation from normal distribution parameters is not mainly three but one that can be used in life and industry. Increase the flexibility of its use by adding random variables.…”

Section: Literature Reviewmentioning

confidence: 99%

The Method of the Probability Analysis of Area with Dissolved Gases in Power Transformer Insulating Oil

Lin

2024

JERR

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Transformer insulating oil plays an extremely important role in power transformers and is used for insulation, arc suppression, cooling and other purposes. However, its other focus is on dissolved gases analysis in the oil to monitor internal operating conditions, which is the responsibility of preventive maintenance. This paper uses the normal distribution theory and the American National Standard Specification (hereinafter referred to as ANSI/IEEE C57.104) to reorganize as a diagnostic tool. The range of each gas from three stages of the specification - normal, caution, and abnormal are incorporated to a stage of abnormal, which divide into equal different values of 1000 as the maternal body of a qualitative normal distribution. Then the benchmark is been calculated from those parameters of a qualitative normal distribution. The data of detection has to pass through "Gas chromatography” to generate dissolved gases. At last, the benchmark value compares with dissolved gases to find the abnormal probability value as a diagnostic tool in maintenance evaluation of equipment. This method was developed using EXCEL application software, and repeatedly tested and verified with examples to confirm its feasibility and high accuracy. In addition, 10 cases accident data were extracted from the literature [11], and compared with the actual maintenance results. The accuracy was 80% for ANSI/IEEE C57.104 and 90% for this probability method. Therefore, this diagnostic method can replace the traditional multi-stage judgment and be represented by a single probability value to show. Based on technology sharing, the development process is specially written into a technical article as reference by scholars and electrical maintenance personnel in the field of power engineering. Design Methods: Making a qualitative normal distribution employs EXCEL software and the discriminative rule of ANSI/IEEE C57.104. Design Purpose: As a diagnostic tool with dissolved gases in insulating oil. Design Effectiveness: Probability Method is better than traditional; it has those efficacies - the accuracy and feasibly and compete with tried and tested actual case.

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Section: Literature Reviewmentioning

confidence: 99%

The Method of the Probability Analysis of Area with Dissolved Gases in Power Transformer Insulating Oil

Lin

2024

JERR

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“…[1] The generalized normal distribution is used to discuss the relationship between the parameters and the mean, variance, skewness, and kurtosis, and the maximum likelihood method is proposed to evaluate the distribution parameters and illustrated with a real data set. [2] The new skewed normal distribution has three parameters instead of one, which can be used to increase the flexibility of random variables in life and industry. [3] A reliability data analysis method based on generalized normal distribution is proposed to meet the needs of modern aviation equipment failure prediction.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Since the interval data of probability is allowable range for circuit breaker interruption as determined by the manufacturer. Furthermore, the power circuit breaker manufacturer fills the 69kV voltage level GIS circuit breaker with GIS pressure capacity standard of 6.0 kg/cm 2 , to find the probability that the pressure capacity exceeds 6.05 kg/cm 2 and the probability that the pressure capacity is less than 5.9 kg/cm 2 .…”

Section: Taking Two Cases As Examplesmentioning

confidence: 99%

To Judge the Power Circuit Breaker Interrupting Time and the Prediction of Maintenance Schedule with Normal Distribution Probability

Lin¹

2023

JERR

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In this article, begins with the motivation for compiling, literature review, and normal distribution theory and characteristics with a shallow example to explain. Design Method: Making an approximately qualitative normal distribution with EXCEL software. First, the sample group plays an important role in the article, it with the cooperation of EXCEL application software and normal distribution rules, can be establish what those the relevant parameters of normal distribution. Taking the relevant parameters to drawn into a bell-shaped curve graph, then the standard score and probability of the area of the bell-shaped curve is out of converted. Design Purpose: As a detection tool of judgement. In this way, an approximately qualitative normal distribution is been formed and its mean, variation and standard deviation are been took as a detection based to evaluated what the probability of any random variable of the same type. Design Effectiveness: To judge of equipment inspection data and work schedule prediction. However, an approximately qualitative normal distribution is been constructed with actual data to calculate out of being relevant parameters, with those ones to judge the interruption time of the circuit breaker what it good or bad in standard value. Another case that was estimated what the probability of arrival time for equipment's spare part with known parameters of qualitative normal distribution. Then review the confusing symbols in the above-mentioned construction design and explain in detail, so as to thoroughly understand the relationship between the parameters of the normal distribution theory. This article demonstrates writing skills with both text and pictures and operational instructions to enhance learning interest and aim to apply what you have learned.

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Advanced Bimodal Skew-Symmetric Distributions: Methodology and Application to Cancer Cell Protein Data

Alomair,

Salinas,

Bakouch

et al. 2024

Symmetry

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This paper explores bimodal skew-symmetric distributions, a versatile family of distributions characterized by parameters that control asymmetry and kurtosis. These distributions encapsulate both symmetrical and well-known asymmetrical behaviors. A simulation study evaluates the model’s estimation accuracy, detailing the score function and the robustness of the observed information matrix, which is proven to be non-singular under specific conditions. We apply the bimodal skew-normal model to protein data from cancer cells, comparing its performance against four established distributions supported on the entire real line. Results indicate superior performance by the proposed model, underscoring its potential for enhancing analytical precision in biological research.

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A New family of Skew-Normal lifetime Distributions for Industrial Applications

Cited by 3 publications

References 13 publications

The Method of the Probability Analysis of Area with Dissolved Gases in Power Transformer Insulating Oil

The Method of the Probability Analysis of Area with Dissolved Gases in Power Transformer Insulating Oil

To Judge the Power Circuit Breaker Interrupting Time and the Prediction of Maintenance Schedule with Normal Distribution Probability

Advanced Bimodal Skew-Symmetric Distributions: Methodology and Application to Cancer Cell Protein Data

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