Total positivity and dependence of order statistics
Metadatos
Mostrar el registro completo del ítemEditorial
AIMS Press
Materia
Density function Dependence concept Failure rate
Fecha
2023-11-14Referencia bibliográfica
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]
Patrocinador
ERDF Andalucía 2014-2020 (University of Almería) under research project UAL2020-AGR-B1783; Project PID2021-122657OB-I00 by the Ministry of Science and Innovation (Spain); Partially supported by the CDTIME of the University of AlmeríaResumen
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.