Simulation methodology: Statistical aspects

The present paper, of a tutorial nature, relates the literature of our simulation methodology since the publication of SIMULATION: STATISTICAL FOUNDATIONS AND METHODOLOGY [Academic Press, 1972 (1970)]. Explained will be the expansion of its Principium of Seeding not only to the Fundamental and the General Principia of Seeding but also to a Third Principium of Seeding. Of course, all three principia relate to the procedure(s) by which we simulationists can ensure that we meet the conditions (e.g., independence, experimental error, blocking) of extant statistical methodology, the conditions by which we may properly design and analyse experiments with a stochastic, computerised, and algorithmic (simulation) model. The paper (tutorial) will extend the current literature of statistical and simulation methodology by calling attention to a new class of pseudo-random number generators.