In this article, the Authors have demonstrated and analyzed various analog/RF and linearity performance of a AlGaN/GaN gate recessed MOSHEMT (GR-MOSHEMT) grown on a Si substrate with mathematical modeling based TCAD simulation. Specifically, a Al2O3 dielectric GR-MOSHEMT has shown tremendous potential in terms of AC/DC figure of merits (FOM's) such as low leakage current, high transconductance, high Ion/Ioff current ratio and excellent linear properties corresponding to conventional AlGaN/GaN HEMT and MOSHEMT. The figure-of-merit metrics such as VIP2, VIP3, IIP3 and IDM3 are performed for different drain to source voltages (VDS) of 2.5V, 5V and 10V. All the modeling and simulation results are generated by Commercial Silvaco TCAD and found to be satisfactory in terms of high frequency and power applications. The present GR-MOSHEMT device shows a superior performance with a threshold voltage of 0.5V, Current density of 888 mA, high transconductance of 225 mS/mm and high unit gain cut-off frequency of 0.91GHz. The results of the developed AlGaN/GaN GR-MOSHEMT considerably improves the device performance and also suitable for high power distortion less RF applications.