GeneralFAMILIES OF DISTRIBUTIONS CLOSED UNDER SAMPLING ADAPTIVE CONTROL PROBLEMS, EXPECTED STEADY STATE PROBABILITIES AND RELATED QUANTITIES, TERMINAL CONTROL PROBLEMS, DISTRIBUTION THEORY, FIXED SAMPLE SIZE ANALYSIS, SPECIFIC RESULTS FOR A TWO STATE MARKOV CHAIN, MAD PROGRAM VITERATION TO SOLVE EQUATIONS, MAD PROGRAM PHI MATRIX, TO COMPUTE EQUATION.