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Using observation records of wind speeds from weather stations in the Sultanate of Oman between 2000 and 2023, we compute estimators of the two Weibull distribution parameters (namely, the Weibull distribution's shape parameter and the…

Computational Engineering, Finance, and Science · Computer Science 2026-01-01 Osama A. Marzouk

A generalization of the generalized inverse Weibull distribution so-called transmuted generalized inverse Weibull dis- tribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a…

Methodology · Statistics 2013-09-16 Faton Merovci , Ibrahim Elbatal , Alaa Ahmed

(Abridged) Wavelet analysis can be used to measure the power spectrum of solar wind fluctuations along a line in any direction with respect to the local mean magnetic field. This technique is applied to study solar wind turbulence in…

Earth and Planetary Astrophysics · Physics 2011-02-11 J. J. Podesta

Wind speed prediction is critical to the management of wind power generation. Due to the large range of wind speed fluctuations and wake effect, there may also be strong correlations between long-distance wind turbines. This…

Signal Processing · Electrical Eng. & Systems 2023-11-27 Xuewei Li , Zewen Shang , Zhiqiang Liu , Jian Yu , Wei Xiong , Mei Yu

In the present paper, Probability weighted moments (PWMs) method for parameter estimation of the median based unit weibull (MBUW) distribution is discussed. The most widely used first order PWMs is compared with the higher order PWMs for…

Methodology · Statistics 2025-11-20 Iman Mohammed Attia

A flexible sheet clamped at both ends and submitted to a permanent wind is unstable and propagates waves. Here, we experimentally study the selection of frequency and wavenumber as a function of the wind velocity. These quantities obey…

Fluid Dynamics · Physics 2015-11-06 Pan Jia , Bruno Andreotti , Philippe Claudin

Fertility plans, measured by the number of planned children, have been found to be affected by education and family background via complex tail dependencies. This challenge was previously met with the use of non-parametric jittering…

Methodology · Statistics 2019-11-18 Alina Peluso , Veronica Vinciotti , Keming Yu

The Kumaraswamy Inverse Weibull distribution has the ability to model failure rates that have unimodal shapes and are quite common in reliability and biological studies. The three-parameter Kumaraswamy Inverse Weibull distribution with…

Methodology · Statistics 2015-05-21 Felipe R. S. de Gusmão , Vera L. D. Tomazella , Ricardo S. Ehlers

This paper introduces a polynomial transformation model based on Weibull distribution, whereby the analytical representation of the quantile function for many probability distributions can be obtained. Firstly, the target random variable…

Methodology · Statistics 2015-08-26 Qing Xiao

A detailed understanding of wind turbine performance status classification can improve operations and maintenance in the wind energy industry. Due to different engineering properties of wind turbines, the standard supervised learning models…

Machine Learning · Statistics 2019-10-02 Z. Trstanova , A. Martinsson , C. Matthews , S. Jimenez , B. Leimkuhler , T. Van Delft , M. Wilkinson

The methods of statistical mechanics are applied to two-dimensional foams under macroscopic agitation. A new variable -- the total cell curvature -- is introduced, which plays the role of energy in conventional statistical thermodynamics.…

Soft Condensed Matter · Physics 2011-11-10 Marc Durand

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

Methodology · Statistics 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

In this short note, we derive a new bias adjusted maximum likelihood estimate for the shape parameter of the Weibull distribution with complete data and type I censored data. The proposed estimate of the shape parameter is significantly…

Methodology · Statistics 2023-02-13 Enes Makalic , Daniel F. Schmidt

The probabilistic characteristics of daily wind speed are not well captured by simple density functions such as Normal or Weibull distribuions as suggested by the existing literature. The unmodeled uncertainties can cause unknown influences…

Systems and Control · Computer Science 2018-09-17 Weigao Sun , Mohsen Zamani , Hai-Tao Zhang , Yuanzheng Li

Mathematical formulations and proofs for a wavelet based statistic employed in functional data analysis is elaborately discussed in this report. The propositions and derivations discussed here apply to a wavelet based statistic with hard…

Statistics Theory · Mathematics 2014-08-13 Senthil B. Girimurugan , Eric Chicken

The increasing occurrence of continuous anomalous weather events has intensified the uncertainty in wind and photovoltaic power generation, posing significant challenges to the operation and optimization of building integrated energy…

Optimization and Control · Mathematics 2025-04-16 Deyi Shao , Hongru Li , Jingsheng Li , Xia Yu , Xiaoyu Sun , Bowen Han

Risk management is an important part of financial practice, essential for protecting assets and investments in modern-day volatile markets. This paper proposes a mixture of mirrored Weibull (MMW) distribution for modelling stock returns and…

Applications · Statistics 2026-05-20 Zijun Jia , Sharon X. Lee

In this paper, we introduce a new distribution called Burr III-Weibull(BW) distribution using the concept of competing risk. We derive moments, conditional moments, mean deviation and quantiles of the proposed distribution. Also the Renyi's…

Statistics Theory · Mathematics 2021-03-08 G S Deepthy , Nicy Sebastian , Reshma Rison

This study examines degree distributions in two large collaboration networks: the Microsoft Academic Graph (1800-2020) and Internet Movie Database (1900-2020), comprising $2.72 \times 10^8$ and $1.88 \times 10^6$ nodes respectively.…

Social and Information Networks · Computer Science 2025-02-18 Peter R Williams , Zhan Chen

The ever-growing use of wind energy makes necessary the optimization of turbine operations through pitch angle controllers and their maintenance with early fault detection. It is crucial to have accurate and robust models imitating the…

Machine Learning · Computer Science 2023-07-28 Alfonso Gijón , Ainhoa Pujana-Goitia , Eugenio Perea , Miguel Molina-Solana , Juan Gómez-Romero
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