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Discrete Generalized Inverted Exponential Distribution: Case Study Color Image Segmentation
Faculty
Science
Year:
2022
Type of Publication:
ZU Hosted
Pages:
17 pages
Authors:
Nahla Said Abdelrahman Abdrabou Elsayed
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematical Problems in Engineering Hindawi
Volume:
Volume 2022
Keywords :
Discrete Generalized Inverted Exponential Distribution: Case Study
Abstract:
We present in this paper a discrete analogue of the continuous generalized inverted exponential distribution denoted by discrete generalized inverted exponential (DGIE) distribution. Since, it is cumbersome or difficult to measure a large number of observations in reality on a continuous scale in the area of reliability analysis. Yet, there are a number of discrete distributions in the literature; however, these distributions have certain difficulties in properly fitting a large amount of data in a variety of fields. +e presented DGIE(β, θ) has shown the efficiency in fitting data better than some existing distribution. In this study, some basic distributional properties, moments, probability function, reliability indices, characteristic function, and the order statistics of the new DGIE are discussed. Estimation of the parameters is illustrated using the moment’s method as well as the maximum likelihood method. Simulations are used to show the performance of the estimated parameters.+emodel with two real data sets is also examined. In addition, the developed DGIE is applied as color image segmentation which aims to cluster the pixels into their groups. To evaluate the performance of DGIE, a set of six color images is used, as well as it is compared with other image segmentation methods including Gaussian mixture model, K-means, and Fuzzy subspace clustering. +e DGIE provides higher performance than other competitive methods.
Author Related Publications
Nahla Said Abdelrahman Abdrabou Elsayed, "Discrete Exponentiated Exponential Distribution", Natural Sciences Publishing Cor., 2022
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Nahla Said Abdelrahman Abdrabou Elsayed, "Discrete alpha-power Weibull distribution properties and application.", IJNAA, 2023
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