Title of article :
Applications of TP2 Functions in Theory of Stochastic Orders: A Review of some Useful Results
Author/Authors :
Naqvi, Sameen Department of Mathematics - Indian Institute of Technology Hyderabad, Kandi, India , Misra, Neeraj Department of Mathematics and Statistics - Indian Institute of Technology Kanpur, Kanpur, India , Chan, Ping Shing Department of Statistics - The Chinese University of Hong Kong - New Territories, Hong Kong
Abstract :
In the literature on Statistical Reliability Theory and Stochastic Orders, several results based on theory of TP2/RR2 functions have been extensively used in establishing various properties. In this paper, we provide a review of some useful results in this direction and highlight connections between them.
Keywords :
Hazard Rate Order , Likelihood Ratio Order , Reversed Hazard Rate Order , RR2 , TP2
Journal title :
Journal of the Iranian Statistical Society (JIRSS)