English

On comparison of the second-order statistics from independent and interdependent exponentiated location-scale distributed random variables

Statistics Theory 2021-04-20 v1 Methodology Statistics Theory

Abstract

Consider two batches of independent or interdependent exponentiated location-scale distributed heterogeneous random variables. This article investigates ordering results for the second-order statistics from these batches when a vector of parameters is switched to another vector of parameters in the specified model. Sufficient conditions for the usual stochastic order and the hazard rate order are derived. Some applications of the established results are presented.

Keywords

Cite

@article{arxiv.2104.08525,
  title  = {On comparison of the second-order statistics from independent and interdependent exponentiated location-scale distributed random variables},
  author = {Sangita Das and Suchandan Kayal},
  journal= {arXiv preprint arXiv:2104.08525},
  year   = {2021}
}

Comments

27 pages, 4 figures