This paper is devoted to pointwise large and moderate deviation principles for the hazard rate function kernel estimator in the right censorship setting. Using the contraction principle and an exponential equivalence, the results are derived as by-products from large and moderate deviation...

In this paper a new probability density function with bounded domain is presented. The new distribution arises from the generalized Lindley distribution proposed by Zakerzadeh and Dolati (2010). This new distribution that depends on two parameters can be considered as an alternative to the...

We consider a non-additive generalization of the Shannon entropy measure using order statistics and show that this entropy measure characterizes the distribution function uniquely. Further we propose a residual non-additive entropy measure for order statistics and prove a characterization result...

Summary Though there is a huge variety of different Tchebycheff-type inequalities in the literature a systematised structuring is missing. The few existing surveys remain rather enumerative. Therefore in this paper a structuring of Tchebycheff-type inequalities is suggested which is based on...

In winner-take-all tournaments, agents' performance is determined jointly by effort and luck, and the top performer is rewarded. We study the impact of the ''shape of luck'' -- the details of the distribution of performance shocks -- on incentives in such settings. We are concerned with the...

In winner-take-all tournaments, agents' performance is determined jointly by effort and luck, and the top performer is rewarded. We study the impact of the ''shape of luck'' -- the details of the distribution of performance shocks -- on incentives in such settings. We are concerned with the...