Approxmating the distribution of the maximum of a dependent stationary sequence based on estimatimates from a genrating function

A method based on estimating the coefficients of a generating function is used to approximate the distribution of the maximum term of a stationary dependent sequence. In a numerical comparison of our approximation with other apporoximations, our method yielded uniformly closer estimates to the exact distribution. In the examples we considered, statisfactory estimates of the distribution were obtained by our method based on a knowledge of the tri-variate distribution of the underlying random sequence. Knowledge of higher variate distributions can be incorporated to yield even more accurate estimates.     

A NOTE ON INTEGRATING INVENTORY AND PRODUCT SALES-MIX MODELS

In a recent issue of Decision Sciences, Raiborn and Harris [2] discussed the integration of inventory and product sales-mix models. While they formulated a model which reflected some of the interactions between product sales-mix and inventory decisions, the purpose of this note is to point out deficiencies in their decision rule analysis for solving such integrated models.