Frailty is the approach towards to establishing the scenario of estimating the unobserved approach in any events which can be a ected by several factors but cannot be easily observed. In light of under 5 mortality, this concept can be very helpful to estimate the proper risk scenario of child mortality for several corresponding variables. In this study, we move with parametric hazard model with corresponding frailty dened by the distribution which may be more e ective and has the similar approach towards the considered hazard model. For that study, we had taken NFHS- 3 for EAG states (Uttar Pradesh, Madhya Pradesh, Bihar, Odisha, Rajasthan, Jharkhand, Chhatisgarh, Uttarakhand) and Assam with 22179 births in last 5 years.