Results on conditional variance in parallel system and lower bounds for varextropy

F. Goodarzi

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 5, 1590-1610

Abstract: In several papers, conditional variance and left truncated variance have been studied by several authors. Since one of the most important types of systems structures is the parallel structure, in this paper, we obtain conditional covariance and variance of this system consisting of n identical and independent components under the condition that, at time x, all components are still working. Moreover a lower bound for variance residual life is given and furthermore, we check its behavior. Furthermore, as an aplication, we obtain lower bounds for varextropy. Also we obtain varextropy of a parallel system and the results of the varextropy of order statistics are applied to construct a test for symmetry. A real dataset is examined to illustrate the empirical performance of the proposed test statistics.

Date: 2024
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DOI: 10.1080/03610926.2022.2105892

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