It was pointed out that in the literature Cox (1972) proposed a model and it is not based on conditional likelihood and there may be same flaws in logic. Cox (1975) was able to recast this method of estimation through “partial likelihood". This approach seemed to be based on sound inferential principles. Following the approch of Cox (1975) it is proposed to study the proportional hazard model for survival analysis. Numerical results are substantiated through real data example.