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Empirical Likelihood Ratio Confidence Interval for positively Associated Series

Acta Mathematicae Applicatae Sinica 2007年第2期23卷 245-254页

作者： Jun-jian Zhang College of Applied Sciences Beijing University of Technology Beijing 100022 China College of Mathematics Guangxi Normal University Guilin 541004 China

Empirical likelihood is discussed by using the blockwise technique for strongly stationary, positively associated random variables. Our results show that the statistics is asymptotically chi-square distributed and the... 详细信息

关键词： Empirical likelihood positive association blockwise confidence interval

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Empirical Euclidean likelihood for general estimating equations under association dependence

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Applied Mathematics(A Journal of Chinese Universities) 2010年第4期25卷 437-446页

作者： CHEN You-you ZHANG Li-xin Department of Mathematics, Zhejiang University, Hangzhou 310027, China Department of Mathematics Zhejiang University Hangzhou China

Empirical Euclidean likelihood for general estimating equations for association dependent processes is investigated. The strong consistency and asymptotic normality of the blockwise maximum empirical Euclidean likelihood estimator are presented. We show that it is more efficient than estimator without blocking. The blockwise empirical Euclidean log-likelihood ratio asymptotically follows a chi-square distribution.

关键词： Empirical Euclidean likelihood blockwise positive association negative association.

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Spatial point-pattern analysis as a powerful tool in identifying pattern-process relationships in plant ecology: an updated review

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Ecological Processes 2021年第1期10卷 772-794页

作者： Mariem Ben-Said Applied Biology and Pathology Laboratory Department of BiologyFaculty of SciencesAbdelmalek Essaadi UniversityTetouanMorocco

Background:Ecological processes such as seedling establishment,biotic interactions,and mortality can leave footprints on species spatial structure that can be detectable through spatial point-pattern analysis(SPPA).Being widely used in plant ecology,SPPA is increasingly carried out to describe biotic interactions and interpret patternprocess ***,some aspects are still subjected to a non-negligible debate such as required sample size(in terms of the number of points and plot area),the link between the low number of points and frequently observed random(or independent)patterns,and relating patterns to *** this paper,an overview of SPPA is given based on rich and updated literature providing guidance for ecologists(especially beginners)on summary statistics,uni-/bi-/multivariate analysis,unmarked/marked analysis,types of marks,*** ambiguities in SPPA are also ***:SPPA has a long history in plant ecology and is based on a large set of summary statistics aiming to describe species spatial *** mechanisms known to be responsible for species spatial patterns are actually investigated in different biomes and for different *** processes,plant environmental conditions,and human intervention are interrelated and are key drivers of plant spatial *** spite of being not recommended,small sample sizes are more common in *** some areas,periodic forest inventories and permanent plots are scarce although they are key tools for spatial data availability and plant dynamic ***:The spatial position of plants is an interesting source of information that helps to make hypotheses about processes responsible for plant spatial *** the continuous progress of SPPA,some ambiguities require further clarifications.

关键词： Spatial analysis Point-pattern Summary statistics Second-order characteristics Spatial structure Species interactions Competition Facilitation positive association Negative association

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