In a wide subclass of generalized order statistics, representations of marginal density and distribution functions are developed. The results are applied to obtain several relations, such asâ€¦ (More)

The iterative proportional fitting procedure (IPF-P) is an algorithm to compute approximately probability measures with prescribed marginals. We propose two extensions of the IPF-P, calledâ€¦ (More)

The lifetime of an ordinary k-out-of-n system is described by the (n âˆ’ k + 1)st order statistic from an iid sample. This set-up is based on the assumption that the failure of any component does notâ€¦ (More)

A classical result of extreme value theory yields that in case of a linear normalization three possible types of limit distributions are possible. As proved recently a similar classification of theâ€¦ (More)

BACKGROUND
We investigated a large, foodborne outbreak of hepatitis A that occurred in February and March 1997 in Michigan and then extended the investigation to determine whether it was related toâ€¦ (More)

k-out-of-n systems frequently appear in applications. They consist of n components of the same kind with independent and identically distributed life-lengths. The life-length of such a system isâ€¦ (More)

Relations are derived for expectations of functions of generalized order statistics within a class of distributions including a variety of identities for single and product moments of ordinary orderâ€¦ (More)

The connection between Stirling numbers of the first kind and records is well-known. Applying this relationship, we derive bounds for the maximum likelihood estimator of the sample size based on theâ€¦ (More)