Most of the characterizations of probability distributions are based on properties of functions of possibly independent random variables. We investigate characterizations of probability distributions through properties of minima or maxima of max-independent, min-independent and quasi-independent random variables generalizing the results from independent random variables of Kotlarski (1978), Prakasa Rao (1992) and Klebanov (1973).

翻译：大多数概率分布的刻画基于可能独立随机变量的函数性质。我们通过最大值独立、最小值独立和拟独立随机变量的最小值或最大值性质，研究概率分布的刻画，推广了Kotlarski (1978)、Prakasa Rao (1992)和Klebanov (1973)关于独立随机变量的结果。