Aydin, Demet2025-03-232025-03-2320190352-96652406-047Xhttps://doi.org/10.22190/FUMI1903511Ahttps://hdl.handle.net/11486/4860In this study, a new weighted version of the inverse Rayleigh distribution based on two different weight functions is introduced. Some statistical and reliability properties of the introduced distribution including the moments, moment generating function, entropy measures (i.e., Shannon and Renyi) and survival and hazard rate functions are derived. The maximum likelihood estimators of the unknown parameters cannot be obtained in explicit forms. So, a numerical method has been required to compute maximum likelihood estimates. Finally, the daily mean wind speed data set has been analysed to show the usability of the new weighted inverse Rayleigh distribution.eninfo:eu-repo/semantics/openAccessNew weighted inverse Rayleigh distributionShannon entropyhazard rate functionFisher information matrixwind speed dataArticle34351152310.22190/FUMI1903511AN/AWOS:000489094300011N/A