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6,089 Results Found

  • Article
  • Open Access
9 Citations
3,160 Views
15 Pages

The Sine Modified Lindley Distribution

  • Lishamol Tomy,
  • Veena G and
  • Christophe Chesneau

The paper contributes majorly in the development of a flexible trigonometric extension of the well-known modified Lindley distribution. More precisely, we use features from the sine generalized family of distributions to create an original one-parame...

  • Article
  • Open Access
17 Citations
2,749 Views
18 Pages

Generalized Modified Slash Birnbaum–Saunders Distribution

  • Jimmy Reyes,
  • Inmaculada Barranco-Chamorro,
  • Diego I. Gallardo and
  • Héctor W. Gómez

6 December 2018

In this paper, a generalization of the modified slash Birnbaum–Saunders (BS) distribution is introduced. The model is defined by using the stochastic representation of the BS distribution, where the standard normal distribution is replaced by a...

  • Article
  • Open Access
1 Citations
732 Views
27 Pages

Multivariate Modified Dugum Distribution and Its Applications

  • Naelah Alghufily,
  • Khalaf S. Sultan and
  • Hossam M. M. Radwan

15 May 2025

The modified Dagum distribution is a highly versatile statistical model, and it is included in several important parametric families of distributions, with applications, such as economics and public health. In this paper, we introduce a multivariate...

  • Article
  • Open Access
12 Citations
4,549 Views
17 Pages

The Modified Beta Gompertz Distribution: Theory and Applications

  • Ibrahim Elbatal,
  • Farrukh Jamal,
  • Christophe Chesneau,
  • Mohammed Elgarhy and
  • Sharifah Alrajhi

20 December 2018

In this paper, we introduce a new continuous probability distribution with five parameters called the modified beta Gompertz distribution. It is derived from the modified beta generator proposed by Nadarajah, Teimouri and Shih (2014) and the Gompertz...

  • Article
  • Open Access
10 Citations
4,793 Views
15 Pages

Beta Exponentiated Modified Weibull Distribution: Properties and Application

  • Mirza Naveed Shahzad,
  • Ehsan Ullah and
  • Abid Hussanan

12 June 2019

One of the most prominent statistical distributions is the Weibull distribution. The recent modifications in this distribution have enhanced its application but only in specific fields. To introduce a more generalized Weibull distribution, in this wo...

  • Article
  • Open Access
296 Views
25 Pages

A New Modification of Modified Weibull Distribution for Modeling Engineering Data

  • Asmaa S. Al-Moisheer,
  • Khalaf S. Sultan and
  • Hossam M. M. Radwan

12 December 2025

This study investigates a novel modification for a modified Weibull distribution called the new modification of modified Weibull distribution. Some distributions related to the NMMWD are given. Some characterization of the NMMWD, including quantiles,...

  • Article
  • Open Access
Entropy2026, 28(2), 161;https://doi.org/10.3390/e28020161 
(registering DOI)

31 January 2026

In this paper, a statistical model with three parameters is proposed which is called New Modified Generalized Inverted Exponential Distribution (MGIE). In addition, several statistical characteristics of the MGIE distribution are obtained, including...

  • Article
  • Open Access
3 Citations
3,146 Views
27 Pages

20 February 2024

Generalized distributions have been studied a lot recently because of their flexibility and reliability in modeling lifetime data. The two-parameter Exponentially-Modified Logistic distribution is a flexible modified distribution that was introduced...

  • Article
  • Open Access
1,125 Views
13 Pages

30 August 2025

Stochastic weather generators are commonly employed to create synthetic sequences of daily weather variables across diverse fields, including hydrological, ecological, and agricultural studies. Realistic precipitation sequences, in particular, serve...

  • Article
  • Open Access
152 Views
20 Pages

16 January 2026

The two-parameter Birnbaum–Saunders (B-S) distribution is widely applied across various fields due to its favorable statistical properties. This study aims to enhance the efficiency of modified moment estimators for the B-S distribution by syst...

  • Article
  • Open Access
1 Citations
1,857 Views
10 Pages

This paper establishes the upper bounds for the second and third coefficients of holomorphic and bi-univalent functions in a family which involves Bazilevic functions and μ-pseudo-starlike functions under a new operator, joining the neutrosophic P...

  • Article
  • Open Access
30 Citations
3,016 Views
39 Pages

Single- and Multi-Objective Modified Aquila Optimizer for Optimal Multiple Renewable Energy Resources in Distribution Network

  • Mohammed Hamouda Ali,
  • Ahmed Tijani Salawudeen,
  • Salah Kamel,
  • Habeeb Bello Salau,
  • Monier Habil and
  • Mokhtar Shouran

19 June 2022

Nowadays, the electrical power system has become a more complex, interconnected network that is expanding every day. Hence, the power system faces many problems such as increasing power losses, voltage deviation, line overloads, etc. The optimization...

  • Article
  • Open Access
19 Citations
3,542 Views
20 Pages

30 June 2021

Reverse logistics is an important way to realize sustainable production and consumption. With the emergence of professional third-party reverse logistics service providers, the outsourcing model has become the main mode of reverse logistics. Whether...

  • Article
  • Open Access
17 Citations
3,457 Views
26 Pages

4 March 2022

This study investigates, for the first time, the product of spacing estimation of the modified Kies exponential distribution parameters as well as the acceleration factor using constant-stress partially accelerated life tests under the Type-II censor...

  • Article
  • Open Access
5 Citations
3,705 Views
11 Pages

The purpose of this study was to explore strategies for distributing online content of dance post COVID-19 in Korea. And specially to discuss the distribution strategies of online performances through videoization of dance performances and OTT (over-...

  • Article
  • Open Access
1 Citations
1,499 Views
26 Pages

Bayesian and E-Bayesian Estimation for a Modified Topp Leone–Chen Distribution Based on a Progressive Type-II Censoring Scheme

  • Zakiah I. Kalantan,
  • Eman M. Swielum,
  • Neama T. AL-Sayed,
  • Abeer A. EL-Helbawy,
  • Gannat R. AL-Dayian and
  • Mervat Abd Elaal

2 August 2024

Abstract: This paper is concerned with applying the Bayesian and E-Bayesian approaches to estimating the unknown parameters of the modified Topp–Leone–Chen distribution under a progressive Type-II censored sample plan. The paper explores...

  • Article
  • Open Access
5 Citations
5,446 Views
16 Pages

21 June 2017

For targets with complex motion, such as ships fluctuating with oceanic waves and high maneuvering airplanes, azimuth echo signals can be modeled as multicomponent quadratic frequency modulation (QFM) signals after migration compensation and phase ad...

  • Article
  • Open Access
6 Citations
3,105 Views
17 Pages

11 January 2023

Both the discrete and continuous particle packing models are used to design UHPC, but the influences of a water film covering the particle surfaces on the compactness of the particle system were not considered in these models. In fact, the water film...

  • Article
  • Open Access
573 Views
28 Pages

12 August 2025

Life testing of products often requires extended observation periods. To shorten the duration of these tests, products can be subjected to more extreme conditions than those encountered in normal use; an approach known as accelerated life testing (AL...

  • Article
  • Open Access
12 Citations
3,844 Views
28 Pages

Quality control testing under acceptance sampling plans involves inspecting a representative sample of products or materials from a larger lot or batch to determine whether the lot meets predetermined quality standards. In this research, the modified...

  • Article
  • Open Access
2 Citations
1,631 Views
23 Pages

6 November 2024

The aim of this research is to estimate the parameters of the modified Frechet-exponential (MFE) distribution using different methods when applied to progressive type-II censored samples. These methods include using the maximum likelihood technique a...

  • Feature Paper
  • Article
  • Open Access
584 Views
22 Pages

30 September 2025

The energy and resource efficient operation of continuously operated large-scale chemical plants is an important factor in the transition towards a sustainable and green process industry. In this work, the operation of the heat exchangers in the diph...

  • Article
  • Open Access
4 Citations
3,609 Views
15 Pages

Modified Power-Symmetric Distribution

  • Emilio Gómez-Déniz,
  • Yuri A. Iriarte,
  • Enrique Calderín-Ojeda and
  • Héctor W. Gómez

15 November 2019

In this paper, a general class of modified power-symmetric distributions is introduced. By choosing as symmetric model the normal distribution, the modified power-normal distribution is obtained. For the latter model, some of its more relevant statis...

  • Article
  • Open Access
9 Citations
3,149 Views
16 Pages

24 March 2022

In this paper, we present a new class of distributions called the modified power family by adding an extra shape parameter. Some of its structural properties are derived. Three special cases of the new family are considered and estimated using the me...

  • Article
  • Open Access
10 Citations
1,864 Views
26 Pages

22 July 2023

In this article, we propose a new transmuted modified power-generalized family of distributions constructed from the transmuted-generated and modified power-generated families. The proposed approach is flexible and provides a tradeoff between the two...

  • Article
  • Open Access
7 Citations
3,360 Views
26 Pages

Study of a Modified Kumaraswamy Distribution

  • Rashad A. R. Bantan,
  • Christophe Chesneau,
  • Farrukh Jamal,
  • Mohammed Elgarhy,
  • Waleed Almutiry and
  • Amani Abdullah Alahmadi

8 November 2021

In this article, a structural modification of the Kumaraswamy distribution yields a new two-parameter distribution defined on (0,1), called the modified Kumaraswamy distribution. It has the advantages of being (i) original in its definition, mixing l...

  • Article
  • Open Access
35 Citations
4,253 Views
27 Pages

27 March 2022

This paper presents the integration of shunt capacitors in the radial distribution grids (RDG) with constant and time-varying load consideration for the reduction of power losses and total annual cost, which turns to enhance the voltage profile and a...

  • Feature Paper
  • Article
  • Open Access
6 Citations
3,770 Views
22 Pages

26 September 2022

Probabilistic models with flexible tail behavior have important applications in engineering and earth science. We introduce a nonlinear normalizing transformation and its inverse based on the deformed lognormal and exponential functions proposed by K...

  • Article
  • Open Access
2 Citations
1,937 Views
17 Pages

Methods of Distributing the IF-WS2 Modifier for Its Introduction into the Structure of the Al2O3 Aluminum Oxide Coating

  • Joanna Korzekwa,
  • Mateusz Niedźwiedź,
  • Grzegorz Dercz,
  • Krzysztof Cwynar,
  • Maciej Sowa,
  • Marek Bara and
  • Wojciech Simka

15 July 2024

The microstructures and structures of modified Al2O3/IF-WS2 coatings prepared on aluminum substrates are studied. Amorphous Al2O3 oxide coatings are obtained on EN AW 5251 aluminum alloy using the electrooxidation process. The quality of the IF-WS2 n...

  • Article
  • Open Access
1 Citations
1,283 Views
24 Pages

1 June 2025

The classical exponential model, despite its flexibility, fails to describe data with non-constant failure or between-event dependency. To overcome this limitation, two new bivariate lifetime distributions are introduced in this paper. The Farlie&nda...

  • Article
  • Open Access
532 Views
19 Pages

27 November 2025

Distributed energy resources provide local power as a supplement on the customer side. Recent rapid development of the distributed energy source enhances the clear energy production at the terminal of the power system. Whereas the small capacity of a...

  • Article
  • Open Access
7 Citations
1,961 Views
23 Pages

Biomass is a renewable energy source because it is contained in organic material such as plants. This paper introduces a modified hunger games search for solving global optimization and biomass distributed generator problems. The hunger search algori...

  • Article
  • Open Access
2 Citations
3,204 Views
32 Pages

A Robust Electric Spring Model and Modified Backward Forward Solution Method for Microgrids with Distributed Generation

  • Guillermo Tapia-Tinoco,
  • David Granados-Lieberman,
  • David A. Rodriguez-Alejandro,
  • Martin Valtierra-Rodriguez and
  • Arturo Garcia-Perez

10 August 2020

The electric spring (ES) is a contemporary device that has emerged as a viable alternative for solving problems associated with voltage and power stability in distributed generation-based smart grids (SG). In order to study the integration of ESs int...

  • Article
  • Open Access
103 Citations
14,417 Views
14 Pages

19 December 2014

There is growing evidence that the standard Weibull strength distribution is not always accurate for the description of variability in tensile strength and its dependence on the gauge size of brittle fibers. In this work, a modified Weibull model by...

  • Article
  • Open Access
4 Citations
2,857 Views
19 Pages

Modified Dragonfly Optimisation for Distributed Energy Mix in Distribution Networks

  • Pushpendra Singh,
  • Nand Kishor Meena,
  • Jin Yang,
  • Shree Krishna Bishnoi,
  • Eduardo Vega-Fuentes and
  • Chengwei Lou

10 September 2021

This article presents a two-stage optimization model aiming to determine optimal energy mix in distribution networks, i.e., battery energy storage, fuel cell, and wind turbines. It aims to alleviate the impact of high renewable penetration on the sys...

  • Article
  • Open Access
8 Citations
4,217 Views
21 Pages

5 July 2023

This paper introduces a flexible three-parameter extension of the Lomax model called the odd Lomax–Lomax (OLxLx) distribution. The OLxLx distribution can provide left-skewed, symmetrical, right-skewed, and reversed-J shaped densities and increa...

  • Article
  • Open Access
4 Citations
2,916 Views
16 Pages

In this paper, the applicability of the sine modified Lindley distribution, recently introduced in the statistical literature, is highlighted via the goodness-of-fit approach on biological data. In particular, it is shown to be beneficial in estimati...

  • Article
  • Open Access
33 Citations
3,733 Views
18 Pages

The Performance and Distribution of Polyurethane-Modified Asphalt That Exhibits Different Molecular Weights

  • Xiaoyi Ban,
  • Zengping Zhang,
  • Pengtao Chang,
  • Suyu Zhang,
  • Hao Liu,
  • Yuzi Liang and
  • Yujing Chen

13 April 2023

To analyze the effect of polyol on polyurethane (PU)-modified asphalt, three different soft segments of polyurethane were synthesized, and we utilized the reaction of MDI (diphenylmethane diisocyanate) with PU650, PU1000, and PU1400. With respect to...

  • Article
  • Open Access
10 Citations
1,961 Views
15 Pages

7 July 2023

This article presents a new family of symmetric heavy-tailed distributions. This model is based on the ratio of two independent random variables; one with a normal distribution in the numerator and another with a Birnbaum–Saunders distribution...

  • Article
  • Open Access
4 Citations
1,357 Views
21 Pages

Likelihood Based Inference and Bias Reduction in the Modified Skew-t-Normal Distribution

  • Jaime Arrué,
  • Reinaldo B. Arellano-Valle,
  • Enrique Calderín-Ojeda,
  • Osvaldo Venegas and
  • Héctor W. Gómez

26 July 2023

In this paper, likelihood-based inference and bias correction based on Firth’s approach are developed in the modified skew-t-normal (MStN) distribution. The latter model exhibits a greater flexibility than the modified skew-normal (MSN) distrib...

  • Article
  • Open Access
4 Citations
1,972 Views
15 Pages

Reducibility of Al3+-Modified Co3O4: Influence of Aluminum Distribution

  • Svetlana V. Cherepanova,
  • Egor G. Koemets,
  • Evgeny Yu. Gerasimov,
  • Irina I. Simentsova and
  • Olga A. Bulavchenko

14 September 2023

The reduction of Co-based oxides doped with Al3+ ions has been studied using in situ XRD and TPR techniques. Al3+-modified Co3O4 oxides with the Al mole fraction Al/(Co + Al) = 1/6; 1/7.5 were prepared via coprecipitation, with further calcination at...

  • Article
  • Open Access
1,129 Views
27 Pages

12 September 2025

This paper introduces the Unit-Modified Weibull (UMW) distribution, a novel probability model defined on the unit interval (0, 1). We derive its key statistical properties and estimate its parameters using the maximum likelihood method. The perf...

  • Article
  • Open Access
1 Citations
1,491 Views
22 Pages

Bias Reduction of Modified Maximum Likelihood Estimates for a Three-Parameter Weibull Distribution

  • Adriana da Silva,
  • Felipe Quintino,
  • Frederico Almeida and
  • Dióscoros Aguiar

30 April 2025

In this work, we investigate the parameter estimation problem based on the three-parameter Weibull models, for which non-finite estimates may be obtained for the log-likelihood function in some regions of the parametric space. Based on an information...

  • Article
  • Open Access
11 Citations
3,264 Views
14 Pages

A Modified BRDF Model Based on Cauchy-Lorentz Distribution Theory for Metal and Coating Materials

  • Fengqi Guo,
  • Jingping Zhu,
  • Liqing Huang,
  • Haoxiang Li,
  • Jinxin Deng,
  • Xiangzhe Zhang,
  • Kai Wang,
  • Hong Liu and
  • Xun Hou

This paper presents a modified Bidirectional Reflectance Distribution Function (BRDF) model based on the Cauchy–Lorentz distribution that accurately characterizes the reflected energy distribution of typical materials, such as metals and coatin...

  • Article
  • Open Access
47 Citations
4,137 Views
13 Pages

28 February 2021

The distribution systems operate radially with meshed topologies thanks to tie-switches and sectionalizing switches consisting of the systems. The power distribution systems are undergoing evolutions strongly toward active distribution systems for re...

  • Article
  • Open Access
11 Citations
3,502 Views
14 Pages

Investigation of Bamboo Fibrous Tensile Strength Using Modified Weibull Distribution

  • Yalew Dessalegn,
  • Balkeshwar Singh,
  • Aart W. van Vuure,
  • Irfan Anjum Badruddin,
  • Habtamu Beri,
  • Mohamed Hussien,
  • Gulam Mohammed Sayeed Ahmed and
  • Nazia Hossain

19 July 2022

Ethiopia has a large coverage of bamboo plants that are used for furniture making and house building. So far, researchers have not studied the strength of Ethiopian bamboo fibers, which are utilized for composite applications. The current study measu...

  • Article
  • Open Access
7 Citations
4,317 Views
15 Pages

Modified Distribution Entropy as a Complexity Measure of Heart Rate Variability (HRV) Signal

  • Radhagayathri Udhayakumar,
  • Chandan Karmakar,
  • Peng Li,
  • Xinpei Wang and
  • Marimuthu Palaniswami

24 September 2020

The complexity of a heart rate variability (HRV) signal is considered an important nonlinear feature to detect cardiac abnormalities. This work aims at explaining the physiological meaning of a recently developed complexity measurement method, namely...

  • Article
  • Open Access
2 Citations
3,092 Views
11 Pages

29 April 2025

Polar compounds in repeatedly used frying oil pose significant health risks to consumers. This study aimed to develop an improved test kit for detecting polar compounds in used frying oils and to compare the distribution of polar compounds across dif...

  • Article
  • Open Access
10 Citations
2,386 Views
17 Pages

The Effect of Aging on the Molecular Distribution of Crumb Rubber Modified Asphalt Based on the Gel Permeation Chromatography Test

  • Tao Wang,
  • Zixuan Chen,
  • Yi Wang,
  • Yaping Cui,
  • Yunhong Sun,
  • Ruiling Ning,
  • Yu Tian and
  • Yi Zhang

28 April 2023

Asphalt aging is one of the main causes of asphalt pavement cracking, loosening and other issues. On a macro level, the asphalt hardens and becomes more brittle, while on a micro level, the chemical composition and molecular weight distribution chang...

  • Article
  • Open Access
62 Citations
5,833 Views
17 Pages

5 December 2017

The estimation of losses of distribution feeders plays a crucial guiding role for the planning, design, and operation of a distribution system. This paper proposes a novel estimation method of statistical line loss of distribution feeders using the f...

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