Artificial Intelligence - The simulation of human intelligence processes by machines, especially computer systems. These processes include learning (the acquisition of information and rules for using the information), reasoning (using the rules to reach approximate or definite conclusions), and self-correction. Particular applications of AI include expert systems, speech recognition and machine vision. (Source - Tech Target http://searchcio.techtarget.com/definition/AI)
Machine learning - The study of methods for programming computers to learn. (Source - Encyclopedia of Cognitve Science.)
Analytics - Analytics is the pursuit of extracting meaning from raw data using specialized computer systems. These systems transform, organize, and model the data to draw conclusions and identify patterns. (Source - Infomatica.)