aspg-1-1089-1791417452 20261007235732 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group American Journal of Business and Operations Research AJBOR 2770-0216 2692-2967 2022 6 2 Tanveer A. Tarray Department of Mathematical Science, Islamic University of Science and Technology, Jammu and Kashmir, India Javid Gani Dar Department of Mathematical Science, Islamic University of Science and Technology, Jammu and Kashmir, India Ishfaq S. Ahmad Department of Mathematical Science, Islamic University of Science and Technology, Jammu and Kashmir, India This article proposes innovative ratio and regression estimators based on additive randomized response model. Expressions for the biases and mean squared errors of the recommended estimators are derived. It has been revealed that the advised groundbreaking ratio and regression estimators are improved than ratio and regression estimators under a very realistic condition. Numerical illustrations and simulation study are also given in support of the present study. 2022 08 15 1089 https://creativecommons.org/licenses/by/4.0/ 10.54216/AJBOR.060201 https://www.americaspg.com/journal/1/article/1089 https://www.americaspg.com/storage/9100.pdf