Joint behavior of point processes of clusters and partial sums for stationary bivariate Gaussian triangular arrays

DOI10.1007/s10463-022-00832-8OpenAlexW4281264656WikidataQ114227659 ScholiaQ114227659MaRDI QIDQ2679227

Yingyin Lu, Jinhui Guo

Publication date: 19 January 2023

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-022-00832-8

zbMATH Keywords

partial sumpoint process of clustersbivariate stationary Gaussian triangular arrayjoint behavior

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Joint behavior of point process of exceedances and partial sum from a Gaussian sequence
• Limit distribution of the sum and maximum from multivariate Gaussian sequences
• Maxima of a triangular array of multivariate Gaussian sequence
• The asymptotic distribution of the maxima of a Gaussian random field on a lattice
• Extremes and related properties of random sequences and processes
• Extreme values for stationary and Markov sequences
• On extreme-order statistics and point processes of exceedances in multivariate stationary Gaussian sequences
• Limit distributions for the maxima of stationary Gaussian processes
• A simple general approach to inference about the tail of a distribution
• Joint limit distributions of exceedances point processes and partial sums of Gaussian vector sequence
• The extremes of a triangular array of normal random variables
• Limit laws for extremes of dependent stationary Gaussian arrays
• Extremes of stationary random fields on a lattice
• A mixed bivariate distribution with exponential and geometric marginals
• A new multivariate model involving geometric sums and maxima of exponentials
• Asymptotic distribution for the sum and maximum of Gaussian processes
• The joint limiting distribution of sums and maxima of stationary sequences
• Extremes and local dependence in stationary sequences
• On the Joint Limiting Distribution of Sums and Maxima of Stationary Normal Sequence
• On the asymptotic joint distribution of the sum and maximum of stationary normal random variables
• Asymptotic distribution of sum and maximum for Gaussian processes
• Confidence intervals for extreme Pareto‐type quantiles
• Asymptotic Independence of the Numbers of High and Low Level Crossings of Stationary Gaussian Processes
• Limit Theorems for the Maximum Term in Stationary Sequences

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