2021/01/10 by Fábio V. J. Silveira, Silveira, Fábio V. J., Frank Gomes‐Silva +11
Engineering · Environmental Science · Health Professions · #60E05 #Applications (stat.AP) #FOS: Computer and information sciences #Methodology (stat.ME) #Noise Effects and Management #Vehicle emissions and performance #Wind and Air Flow Studies
paper · pdf · doi:10.48550/arxiv.2101.03622
openalex publication_date 2021/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Characterizing the wind speed distribution properly is essential for the satisfactory production of potential energy in wind farms, being the mixture models usually employed in the description of such data. However, some mixture models commonly have the undesirable property of non-identifiability. In this work, we present an alternative distribution which is able to fit the wind speed data adequately. The new model, called Normal-Weibull-Weibull, is identifiable and its cumulative distribution function is written as a composition of two baseline functions. We discuss structural properties of the class that generates the proposed model, such as the linear representation of the probability density function, moments and moment generating function. We perform a Monte Carlo simulation study to investigate the behavior of the maximum likelihood estimates of the parameters. Finally, we present applications of the new distribution for modelling wind speed data measured in five different cities of the Northeastern Region of Brazil.