Correction to: Scientific Reports https://doi.org/10.1038/s41598-025-86141-5, published online 11 January 2025

In the original version of this Article Mohammadreza Mahmoudi was incorrectly affiliated with ‘Department of Physics, Faculty of Science, Fasa University, Fasa, 74616-86131, Iran’. The correct affiliation is listed below:

Department of Statistics, Faculty of Science, Fasa University, Fasa, 74616-86131, Iran

The original Article has been corrected.