Total positivity and dependence of order statistics
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2023Abstract
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.
Palabra/s clave
density function
dependence concept
failure rate
order statistic
random variable
total positivity