Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

Stochastic Comparisons of Series and Parallel Systems with Independent and Heterogeneous Log-Logistic Components

Document Type : Original Paper

Authors
Fariba Ghanbari 1
Ghobad Barmalzan 2
SEYEDREZA HASHEMI 3
1 Department of Statistics, , Razi University, Kermanshah, Iran.
2 Department of Statistics, Zabol University. Iran
3 Department of Statistics, Razi University, Kermanshah, Iran.
10.22055/jamm.2020.31100.1760
Abstract
This paper examines the problem of  stochastic comparisons of  series and parallel systems with independent  and heterogeneous  Log-logistic components.  Using concepts of majorizatin, weak supermajorization and p-larger order, we establish usual stocahastic order, hazard rate and reversed hazard rate order between these systems. We also discuss the stochastic comparisons of two vector of order statistics arising from two independent and hetrogeneous Log-logestic samples.
Keywords
Series systems
Parallel systems
Stochastic order
Schur-convex
Schur-concave
Subjects
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2.Fisk, P.R. (1961). The graduation of income distributions. Econometrica:
Journal of the Econometric Society, 29, 171-185.
3. Ahmad, M., Sinclair, C. and Werritty, A. (1988). Log-logistic flood
frequency analysis. Journal of Hydrology, 98, 205-224.
4. Robson, A. and Reed, D. (1999). Procedures for flood frequency
estimation. 3, Institute of Hydrology.
5.Geskus, R.B. (2001). Methods for estimating the aids incubation time
distribution when date of seroconversion is censored. Statistics in
Medicine, 20, 795-812
Journal of Advanced Mathematical Modeling
Volume 10, Issue 2
December 2020
Pages 418-438

  • Receive Date 16 September 2019
  • Revise Date 06 June 2020
  • Accept Date 23 June 2020