Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/2727 2021 2021 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Syria Danyah Danyah Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Syria Mohamed Bisher Zeina Department of Mathematical Statistics, Faculty of Science, Alfurat University, Syria Riad K. Al Al-Hamido In this study, we introduce Marshall-Olkin type II class of distributions within the neutrosophic and plithogenic framework. We provide the formal expressions for the probability density function and derive the cumulative distribution function. As a specific instance, we examine the generalization of the exponential distribution in both neutrosophic and plithogenic forms according to this new class, presenting the probability density function and deriving the cumulative distribution function for this case. Furthermore, we propose an algorithm for generating random numbers based on this distribution. Additionally, we estimate its parameters using maximum likelihood and validate the results through a simulation study, demonstrating the efficiency of the calculated parameters. We also investigate the asymptotic properties, including unbiasedness and consistency. 2024 2024 46 64 10.54216/JNFS.080106 https://www.americaspg.com/articleinfo/24/show/2727