In this paper we aim to review some works on the asymptotic behaviors of random partitions. The focus is upon two basic probability models— uniform partitions and Plancherel partitions. One of fundamental results is the existence of limit shapes, which corresponds to the classic law of large numbers. The fluctuations around the limit shape are also considered; the well-known Gumbel distribution...

In this paper we discuss a general approach to studying asymptotic properties of statistical estimators in stochastic programming. The approach is based on an extended delta method and appears to be particularly suitable for deriving asymptotics of the optimal value of stochastic programs. Asymptotic analysis of the optimal value will be presented in detail. Asymptotic properties of the corresp...