scholarly journals New Results on Stochastic Comparison of Series and Parallel Systems Comprising Heterogeneous Generalized Modified Weibull Components

2019 ◽  
Vol 16 (1) ◽  
pp. 101-120
Author(s):  
Esmaeil Bashkar ◽  
Keyword(s):  
Parallel Systems ◽  
Stochastic Comparison ◽  
Generalized Modified Weibull ◽  
Modified Weibull

Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components

2018 ◽  
Vol 34 (6) ◽  
pp. 816-834 ◽  
Author(s):  
Narayanaswamy Balakrishnan ◽  
Phalguni Nanda ◽  
Suchandan Kayal
Keyword(s):  
Parallel Systems ◽  
Generalized Modified Weibull ◽  
Modified Weibull

Stochastic comparison of parallel systems with Pareto components

2021 ◽  
pp. 1-13
Author(s):  
Sameen Naqvi ◽  
Weiyong Ding ◽  
Peng Zhao
Keyword(s):  
Order Statistics ◽  
Extreme Value Theory ◽  
Pareto Distribution ◽  
Parallel Systems ◽  
Value Theory ◽  
Extreme Value ◽  
Stochastic Comparison ◽  
Shape Parameters ◽  
Scale Parameters ◽  
Dispersive Ordering

Abstract Pareto distribution is an important distribution in extreme value theory. In this paper, we consider parallel systems with Pareto components and study the effect of heterogeneity on skewness of such systems. It is shown that, when the lifetimes of components have different shape parameters, the parallel system with heterogeneous Pareto component lifetimes is more skewed than the system with independent and identically distributed Pareto components. However, for the case when the lifetimes of components have different scale parameters, the result gets reversed in the sense of star ordering. We also establish the relation between star ordering and dispersive ordering by extending the result of Deshpande and Kochar [(1983). Dispersive ordering is the same as tail ordering. Advances in Applied Probability 15(3): 686–687] from support $(0, \infty )$ to general supports $(a, \infty )$ , $a > 0$ . As a consequence, we obtain some new results on dispersion of order statistics from heterogeneous Pareto samples with respect to dispersive ordering.

Stochastic Comparison of the Skewness of Parallel Systems in Pareto Model

2018 ◽  
Vol 12 (1) ◽  
pp. 39-55
Author(s):  
Ebrahim Amini-Seresht ◽  
Majid Sadeghifar ◽  
Mona Shiri ◽  
◽  
◽  
...  
Keyword(s):  
Parallel Systems ◽  
Stochastic Comparison ◽  
Pareto Model

scholarly journals Some stochastic comparison results for series and parallel systems with heterogeneous Pareto type components

2018 ◽  
Vol 63 (1) ◽  
pp. 55-77 ◽  
Author(s):  
Lakshmi Kanta Patra ◽  
Suchandan Kayal ◽  
Phalguni Nanda
Keyword(s):  
Parallel Systems ◽  
Stochastic Comparison ◽  
Comparison Results
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