Permanent Expansions and Distributions of Order Statistics in the INID Case

Expansions of permanents are applied to derive expressions for the distribution functions of order statistics arising from n INID random variables. For this purpose, we apply two types of expansions. The first one is based on Ryser's method and it leads to a representation of the distribution function as a generalized mixture of distributions of order statistics from IID random variables. The second approach, which is based on the calculation …