In this comprehensive study, we delve deeply into the concept of multivariate total positivity, defining it in accordance with a direction. We rigorously explore numerous salient properties, shedding light on the nuances that characterize this notion. Furthermore, our research extends to establishing distinct forms of dependence among the order statistics of a sample from a distribution function. Our analysis aims to provide a nuanced understanding of the interrelationships within multivariate total positivity and its implications for statistical analysis and probability theory.
Citation: Enrique de Amo, José Juan Quesada-Molina, Manuel Úbeda-Flores. Total positivity and dependence of order statistics[J]. AIMS Mathematics, 2023, 8(12): 30717-30730. doi: 10.3934/math.20231570
In this comprehensive study, we delve deeply into the concept of multivariate total positivity, defining it in accordance with a direction. We rigorously explore numerous salient properties, shedding light on the nuances that characterize this notion. Furthermore, our research extends to establishing distinct forms of dependence among the order statistics of a sample from a distribution function. Our analysis aims to provide a nuanced understanding of the interrelationships within multivariate total positivity and its implications for statistical analysis and probability theory.
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Enrique de Amo, José Juan Quesada-Molina, Manuel Úbeda-Flores. Total positivity and dependence of order statistics[J]. AIMS Mathematics, 2023, 8(12): 30717-30730. doi: 10.3934/math.20231570
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