New Measures of Skewness of a Probability Distribution

Singh, Ashok K.; Gewali, Laxmi; Khatiwada, Jiwan

doi:10.4236/ojs.2019.95039

Cited by 8 publications

(10 citation statements)

References 18 publications

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“…Both coefficient criteria can give the information of data distribution and its dominant value. The size of the slope (skewness) refers to the departure of the distribution from symmetry [31]. If the slope value is known, then it is also known how the distribution model is, whether symmetrical, negative, or positive.…”

Section: Load Profile Characterizationmentioning

confidence: 99%

Fuzzy C-means clustering based on micro-spatial analysis for electricity load profile characterization

Senen

Putri

Jamian

et al. 2023

IJEECS

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As the rising of electricity demand, electricity load profile characterization (ELPC) is the integral aspect in planning, operating system, and distribution network development. The approach in the existing ELPC is still relatively macro in nature and does not involve other aspects outside the electricity variable, so the results tend to be biased for areas experiencing rapid land use changes. Therefore, this paper proposes an ELPC approach based on micro-spatial. Microspatial analysis is done by dividing area in the form of the smallest grids involving various electrical, demographic, geographic and socio-economic variables, which are then grouped using adaptive clustering based on fuzzy C-means (FCM). The adaptive clustering algorithm is proven to be able to determine the degree of membership of each grid data against each cluster with the ability to determine the number of clusters automatically according to the attribute data provided. The ELPC results which consist of 5 clusters are then analyzed using descriptive statistic, plotted, and mapped to obtain more accurate and realistic load characteristics in accordance with the pattern and geographical conditions of the region, so that the results can be used as a reference in load forecasting, network development, and distributed generation (DG) integration.

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Section: Load Profile Characterizationmentioning

confidence: 99%

Fuzzy C-means clustering based on micro-spatial analysis for electricity load profile characterization

Senen

Putri

Jamian

et al. 2023

IJEECS

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“…En estas distribuciones con asimetría negativa, la moda (pico) queda por encima de la mediana y la mediana por encima de la media aritmética (Sarka, 2021). Esta regularidad se cumple bien en las distribuciones continuas unimodales, pero en las distribuciones discretas tiene muchos contraejemplos (Singh, Gewali, y Khatiwada, 2019), de ahí que es muy importante representar la distribución por medio de un diagrama de barras o un histograma cuando se evalúa la simetría. 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14 0 2.5 5 7.5 10 12.5 15 17.5 20 Asimetría negativa Simetría 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14 0 2.5 5 7.5 10 12.5 15 17.5 20…”

Section: Une Mesure D'asymétrie Unidimensionnelle Pour Les Variables Qualitativesunclassified

“…Además, existen unas terceras medidas mixtas que se basan en momentos y cuantiles, como la distancia orientada (con signo) y estandarizada de la media aritmética a la moda (Pearson, 1894) o a la mediana (Pearson, 1895), la distancia dirigida y estandarizada del semirrango a la moda, mediana o media aritmética (Altinay, 2016) o el área de asimetría de Singh et al (2019). Todas ellas pueden tomar un valor negativo, nulo o positivo, y las medidas de Bowley (1901), Kelley (1947), Altinay (2016) y Singh et al (2019 están limitadas al rango entre −1 y 1. También hay medidas de asimetría absolutas, como el índice de Kelley (1923).…”

Section: Asimetría Positiva Simétricaunclassified

Una medida de asimetría unidimensional para variables cualitativas

Rubia

2022

PSICO

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Esta investigación metodológica tiene como objetivo definir un concepto de asimetría para variables cualitativas, cuantificarlo y mostrar su validez. Se usó un panel de cinco jueces expertos y simulaciones Monte Carlo. Se definió el estadístico diferencia promedio de frecuencia (dpf) entre pares de categorías ordenadas por homogeneidad de frecuencia. El estadístico dpf mostró un comportamiento ajustado a las expectativas con distintas variantes de la distribución binomial. La correlación entre el promedio de las puntuaciones de asimetría de los jueces y dpf fue muy alta. Para obtener normas orientativas de interpretación, se simularon 20,000 muestras de tamaños 20, 40, 100, 200, 500 y 1000 extraídas de una distribución binomial. Se concluye que dpf es válido para medir asimetría en variables cualitativas.

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“…If skewness is 0, the data are perfectly symmetrical, although it is quite unlikely for real-world data. As a general rule of thumb [27]:…”

Section: Extraction Of Spider Web Node To Node Distance By Element-wimentioning

confidence: 99%

Studies on the Geometrical Design of Spider Webs for Reinforced Composite Structures

et al. 2021

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Spider silk is an astonishingly tough biomaterial that consists almost entirely of large proteins. Studying the secrets behind the high strength nature of spider webs is very challenging due to their miniature size. In spite of their complex nature, researchers have always been inspired to mimic Nature for developing new products or enhancing the performance of existing technologies. Accordingly, the spider web can be taken as a model for optimal fiber orientation for composite materials to be used in critical structural applications. In this study an attempt is made to analyze the geometrical characteristics of the web construction building units such as spirals and radials. As a measurement tool, we have used a developed MATLAB algorithm code for measuring the node to node of rings and radials angle of orientation. Spider web image samples were collected randomly from an ecological niche with black background sample collection tools. The study shows that the radial angle of orientation is 12.7 degrees with 5 mm distance for the spirals’ mesh size. The extracted geometrical numeric values from the spider web show moderately skewed statistical data. The study sheds light on spider web utilization to develop an optimized fiber orientation reinforced composite structure for constructing, for instance, shell structures, pressure vessels and fuselage cones for the aviation industry.

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New Measures of Skewness of a Probability Distribution

Cited by 8 publications

References 18 publications

Fuzzy C-means clustering based on micro-spatial analysis for electricity load profile characterization

Fuzzy C-means clustering based on micro-spatial analysis for electricity load profile characterization

Una medida de asimetría unidimensional para variables cualitativas

Studies on the Geometrical Design of Spider Webs for Reinforced Composite Structures

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