Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be maliciously corrupted many other ways, such as systematic measurement errors and missing covariates. We consider corruption either TV Wasserstein distance, show that robust estimation is possible whenever the true population distribution satisfies property called genera...

Some new characterization properties of the exponential distribution based on two non-adjacent m-generalized order statistics (consequently m dual generalized statistics), ̸= −1, coming from independent distributions are derived. The result this paper provides a beneficial strategy to predict failure time some survived components in lifetime experiment by using another experiment.

When processing a data-stream in small space, how important is the order in which the data arrives? Are there problems that are unsolvable when the ordering is worst-case, that can typically be solved in practice? Does the role of ordering become less significant when we permit algorithms to make multiple passes over the data-stream if the stream is not re-ordered between each pass? If we consi...

We study the problem of comparing ageing patterns lifetimes k-out-of-n systems with i.i.d. components. Mathematically, this reduces to being able decide about a stochastic ordering relationship between different order statistics. discuss such relationships respect second-order dominance, obtaining characterizations through verification relative convexity suitably chosen reference distribution f...

The order statistics based list decoding techniques for linear binary block codes of small to medium block length are investigated. The construction of the list of the test error patterns is considered. The original order statistics decoding is generalized by assuming segmentation of the most reliable independent positions of the received bits. The segmentation is shown to overcome several draw...

Correntropy has recently been introduced as a generalized correlation function between two stochastic processes, which contains both high-order statistics and temporal structure of the stochastic processes in one functional form. Based on this blend of high-order statistics and temporal structure in a single functional form, we propose a unified criterion for instantaneous blind source separati...