ABSTRACT
This chapter suggests that the equations governing the various moments of the score are, indeed, very useful in the analysis of the quality of various Monte Carlo techniques. It discusses the adequate choice of the factors in general in connection with the conditions under which a nonanalog game is unbiased. The chapter attempts to familiarize the reader with the general structure and heuristic meaning of the moment equations. It provides the conditions under which a nonanalog game which is unbiased with respect to a feasible analog game. The chapter presents a theory which allows us to generate an arbitrary number of estimators which all lead to the same expected final scores. It considers the first-moment equation of such multiplying analog and nonanalog games in which the secondaries of a multiplying event are indistinguishable. The chapter explores a general Monte Carlo simulation in which every event that happens to a particle may contribute to the total score.
