Preservation of transform orders under a semiparametric model and its mixture |
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| Institution: | 1. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11451, Saudi Arabia;2. Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 13214, Saudi Arabia |
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| Abstract: | In this paper, sufficient conditions for preservation of several transform orders under a typical family of semiparametric distributions are made. The preservation properties are developed to compare mixture semiparametric distributions. Possible applications of the achieved results to compare scale family of distributions and also compare coherent systems with dependent but identical components and series and parallel systems with randomized number of components are provided. |
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| Keywords: | Weighted distribution Preservation Transform order Coherent system Semiparametric |
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