International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2231 2020 2020 Department of Business Administration, College of Sciences and the Human Sciences in Al Aflaj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia Ahmedia Musa M. Ibrahim Department of Quantitative Methods, Pannon Egyetem, Veszprem, H-8200, Hungary Zahid Khan This paper introduces the concept of the neutrosophic Laplace distribution ( ), a probability distribution derived from the Laplace distribution. The  offers a versatile framework for describing various real-world problems. We highlight the neutrosophic extension of the Laplace distribution and explore its applications in different areas. Extensive investigations into the mathematical properties of the distribution are presented, including the derivation of its probability density function, mean, variance, raw moment, skewness, and kurtosis. To estimate the parameters of the , we employ the method of maximum likelihood (ML) estimation within a neutrosophic environment. Furthermore, we conduct a simulation study to assess the effectiveness of the maximum likelihood approach in estimating the parameters of this new distribution. The findings demonstrate the potential of the  in modeling and analyzing real-world phenomena. Eventually, some illustrative examples related to system reliability are provided to clarify further the implementation of the neutrosophic probabilistic model in real-world problems. 2024 2024 73 84 10.54216/IJNS.230106 https://www.americaspg.com/articleinfo/21/show/2231