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4 results on '"Wang, Jiantian"'

1. Likelihood ratio ordering for parallel systems with exponential components.

Author

Wang, Jiantian and Cheng, Bin

Subjects
*ORDER statistics, *LOGICAL prediction
Abstract

In this paper, we introduce the concept of l-order and conjecture that the l-order of hazard rate vectors of components implies the likelihood ratio order of parallel systems. We prove this conjecture when the number of components is no more than 5. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Likelihood ratio order of parallel systems under multiple-outlier models.

Author

Wang, Jiantian

Subjects
*LIKELIHOOD ratio tests, *OUTLIERS (Statistics), *PARALLEL computers, *PARAMETERS (Statistics), *VECTORS (Calculus)
Abstract

This paper studies the likelihood ratio ordering of parallel systems under multiple-outlier models. We introduce a partial order, the so-called θ-order, and show that the θ-order between the parameter vectors of the parallel systems implies the likelihood ratio order between the systems. [ABSTRACT FROM AUTHOR]

Published
2018
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3. A stochastic comparison result about hazard rate ordering of two parallel systems comprising of geometric components.

Author

Wang, Jiantian

Subjects
*STOCHASTIC analysis, *COMPARATIVE studies, *PROBLEM solving, *GEOMETRIC analysis, *MATHEMATICAL analysis
Abstract

Mao and Hu (2010) left an open problem about the hazard rate order between two parallel systems each with n geometric components. In this note, we solve this open problem for 2 ≤ n ≤ 9 . [ABSTRACT FROM AUTHOR]

Published
2015
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4. A note on allocation policy in two-parallel–series and two-series–parallel systems with respect to likelihood ratio order.

Author

Wang, Jiantian and Laniado, Henry

Subjects
*MATHEMATICAL series, *MAXIMUM likelihood statistics, *PROPORTIONAL hazards models, *MATHEMATICAL analysis, *SYSTEMS theory
Abstract

In a recent article of Laniado and Lillo (2014), the authors obtained some comparison results on component allocation policies in two-parallel–series and two-series–parallel systems with two types of components. They proposed a conjecture that those results can be extended to likelihood ratio order. In this note, we provide an affirmative answer to their conjecture. [ABSTRACT FROM AUTHOR]

Published
2015
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