Applications of Mathematics

, Volume 63, Issue 1, pp 55–77 | Cite as

Some Stochastic Comparison Results for Series and Parallel Systems with Heterogeneous Pareto Type Components

  • Lakshmi Kanta Patra
  • Suchandan Kayal
  • Phalguni Nanda


We focus on stochastic comparisons of lifetimes of series and parallel systems consisting of independent and heterogeneous new Pareto type components. Sufficient conditions involving majorization type partial orders are provided to obtain stochastic comparisons in terms of various magnitude and dispersive orderings which include usual stochastic order, hazard rate order, dispersive order and right spread order. The usual stochastic order of lifetimes of series systems with possibly different scale and shape parameters is studied when its matrix of parameters changes to another matrix in certain sense.


stochastic order parallel system series system majorization multivariate chain majorization Pareto type distribution T-transform matrix 

MSC 2010

60E15 60K10 


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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  • Lakshmi Kanta Patra
    • 1
  • Suchandan Kayal
    • 2
  • Phalguni Nanda
    • 2
  1. 1.Department of MathematicsIndian Institute of Technology KharagpurKharagpurIndia
  2. 2.Department of MathematicsNational Institute of Technology RourkelaRourkelaIndia

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