How to start career that asks for statistical techniques?



Hi, I want to make career in analytics, specially into Statistical Modelling and Machine learning.
I have experience of 4 years+ into data analysis (to be more specific its deep diving into data or you can say data exploration but not into Statistical Modelling and core analytics).
I am graduate in Statistics and Masters in Operational Research. I have done Base SAS certification thinking that it will help me moving into the career of my choice. But after 4+ years of experience most of the job calls that I get asks me if I have experience into modelling and good experience in SAS and other Statistical Tools. All the calls that I have got asks for experienced persons in this field.

Can some one suggests me how can I make this move?