Will see how randomization  is used in the NP lemma and discuss how this is related to the minMaxt theorem https://drive.google.com/file/d/1ozk-d_5UanTjiudIgg1L_21cFWTOwbmx/view?usp=sharing

We'll see an example of the use of NP lemma for binomial distribution.   https://drive.google.com/file/d/1yvcWBUYJMOa4EgrD2Jads3BNa9tAMOgI/view?usp=sharing
https://drive.google.com/file/d/1bveSyfg2Qrh1c4os2qZIVbUHWb6J6L8h/view?usp=sharing

Another NP example https://drive.google.com/file/d/1IcpFtD9dJN-Ve5y8-Evjp6vW3Zz6TrlA/view?usp=sharing

NP lemma example https://drive.google.com/open?id=153xUnlJvMUC1Hia1l37bGcHv7x34kSXI

Next the Nyman-Pearson lemma is stated and proved.   https://drive.google.com/file/d/1wqJv_hc5DWHwjfHz071JPGqtcLUhG4eE/view?usp=sharing

We'll revisit statistical tests in preparation from the Neyman Pearson lemma https://drive.google.com/file/d/1P4jxjmvpBBXTr-vBDWtBFEeBwRerUMQ9/view?usp=sharing

We'll develop a confidence band for the empirical distribution - https://drive.google.com/file/d/1xXWyQmgI3oUhw-rlWZn7CcJa43elOTbX/view?usp=sharing