Comparison of hazard rates for dependent random variables

In this paper, we define and study a new notion for the comparison of the hazard rates of two random variables taking into account their mutual dependence. Properties, applications and the comparison for a data set are given.

[1]  Xiaohu Li,et al.  Permutation Monotone Functions of Random Vectors with Applications in Financial and Actuarial Risk Management , 2015, Advances in Applied Probability.

[2]  Moshe Shaked,et al.  Stochastic orders and their applications , 1994 .

[3]  K. Mosler,et al.  Stochastic orders and decision under risk , 1991 .

[4]  Chunsheng Ma,et al.  UNIFORM STOCIIASTIC ORDERING ON A SYSTEM OF COMPONENTS WITH DEPENDENT LIFETIMES INDUCED BY A COMMON ENVIRONMENT , 1999 .

[5]  J. Shanthikumar,et al.  Extension of the bivariate characterization for stochastic orders , 1992, Advances in Applied Probability.

[6]  F. Belzunce,et al.  On optimal allocation of redundant components for series and parallel systems of two dependent compo , 2011 .

[7]  Fabio Spizzichino,et al.  Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes , 2005 .

[8]  Fabrizio Durante,et al.  Supermigrative copulas and positive dependence , 2012 .

[9]  J. George Shanthikumar,et al.  Characterization of optimal order of servers in a tandem queue with blocking , 1991, Oper. Res. Lett..

[10]  F. Pellerey,et al.  A note on relationships between some univariate stochastic orders and the corresponding joint stochastic orders , 2015 .

[11]  Masaaki Kijima,et al.  PORTFOLIO SELECTION PROBLEMS VIA THE BIVARIATE CHARACTERIZATION OF STOCHASTIC DOMINANCE RELATIONS , 1996 .

[12]  Xiaohu Li,et al.  A note on allocation of portfolio shares of random assets with Archimedean copula , 2014, Ann. Oper. Res..

[13]  D. Yao,et al.  Bivariate characterization of some stochastic order relations , 1991, Advances in Applied Probability.

[14]  On hazard rate ordering of dependent variables , 1993 .

[15]  Bill Ravens,et al.  An Introduction to Copulas , 2000, Technometrics.

[16]  Stochastic Orders , 2008 .

[17]  Mark A. McComb Comparison Methods for Stochastic Models and Risks , 2003, Technometrics.

[18]  G. Kimeldorf,et al.  A framework for positive dependence , 1989, Annals of the Institute of Statistical Mathematics.

[19]  S. Senn,et al.  An incomplete blocks cross-over in asthma: a case study in collaboration , 1997 .

[20]  Richard E. Barlow,et al.  Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .

[21]  F. Belzunce,et al.  On rankings and top choices in random utility models with dependent utilities , 2007 .

[22]  Fabrizio Durante,et al.  Supermigrative semi-copulas and triangular norms , 2009, Inf. Sci..

[23]  Félix Belzunce,et al.  On allocation of redundant components for systems with dependent components , 2013, Eur. J. Oper. Res..