The Computational and Numerical Issues

1. The underlying mathematics is that of random variables. The key basic theorem is the

• CENTRAL LIMIT THEOREM---this is at the level of CPS615.

2. There is a set of methods where we believe that we KNOW something precise about associated probability distributions.

• LEAST SQUARES METHOD
• MAXIMUM LIKELIHOOD METHOD

3. There are a set of techniques for data exploration where we search a large dataset for expected or unexpected correlations and clusterings which are qualitative and usually not describable by mathematical functions.

• HISTOGRAMS
• SCATTER PLOTS