On the local odds ratio between points and marks in marked point processes

Zhang, Tonglin; Zhuang, Qianlai

doi:10.1016/j.spasta.2013.12.002

Cited by 5 publications

(3 citation statements)

References 21 publications

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“…We studied earthquake occurrences after January 1, 2000 in these regions and found that most earthquakes occurred in an area between latitude 30 and latitude 45 North, and longitude 130 and 150 East. This area was previously studied for earthquake occurrences (Zhang and Zhuang, 2014;Zhang, 2017). Using this as the study area, we collected earthquake occurrences with magnitudes greater than or equal to 4.0 from ous nuclear accident in Fukushima Nuclear Power Plants, affecting hundreds of thousands of residents in a few thousand square kilometers area.…”

Section: Applicationmentioning

confidence: 99%

Testing First-Order Spherical Symmetry of Spatial Point Processes

Zhang¹,

Mateu²

2020

STAT SINICA

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This article proposes a Kolmogorov-Smirnov-type test to assess spherical symmetry of the first-order intensity function of a spatial point process (SPP).Spherical symmetry, which is an important assumption in the well-known ETAS (epidemic type aftershock sequence) model, means that the intensity function of an SPP is invariant under a spherical transformation in an Euclidean space. An important property of first-order spherical symmetry is that the expected number of points within a sector region is proportional to the angle measure of the region.This provides a way to construct our test statistic. The asymptotic distribution of the test statistic is obtained under the framework of increasing domain asymptotics with weak dependence. We show that the resulting test statistic converges weakly to the absolute maximum of a zero mean Gaussian process under the null hypothesis and it is also consistent under the alternative hypothesis. A simulation study shows that the type I error probability of the test is close to the significance level, and the power increases to one as the magnitude of non-spherical symmetry increases.In an application of the ETAS model to Japan earthquakes, the article concludes that the first-order spherical symmetry assumption can be roughly accepted.

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Section: Applicationmentioning

confidence: 99%

Testing First-Order Spherical Symmetry of Spatial Point Processes

Zhang¹,

Mateu²

2020

STAT SINICA

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“…It has been pointed out that wildfire activities in boreal forest are significantly affected by latitude but not by longitude [39]. It is expected to have low numbers of wildfire occurrences with high values of area burned in the north than those in the south [40], indicating that substationarity might be assumed along the longitude. To confirm this, we calculated the estimates of λ(s) with the standard bivariate normal kernel via (9) under nonstationarity.…”

Section: Applicationmentioning

confidence: 99%

“…The idea of the research is motivated from our recent work on typical events in natural hazards [40]. According to its scientific definition, a natural hazard is a naturally occurring event that might have a negative effect on human or environments.…”

Section: Introductionmentioning

confidence: 99%

Substationarity for spatial point processes

Zhang

Mateu

2019

Journal of Multivariate Analysis

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The goal of the article is to develop the approach of substationarity to spatial point processes (SPPs). Substationarity is a new concept, which has never been studied in the literature. It means that the distribution of SPPs can only be invariant under location shifts within a linear subspace of the domain. Theoretically, substationarity is a concept between stationariy and nonstationarity, but it belongs to nonstationarity. To formally propose the approach, the article provides the definition of substationarity and an estimation method for the first-order intensity function. As the linear subspace may be unknown, it recommends using a parametric way to estimate the linear subspace and a nonparametric way to estimate the first-order intensity function, indicating that it is a semiparametric approach. The simulation studies show that both the estimators of the linear subspace and the first-order intensity function are reliable. In an application to a forest wildfire data set, the article concludes that substationarity of wildfire occurrences may be assumed along the longitude, indicating that latitude is a more important factor than longitude in forest wildfire studies.AMS 2000 subject classification: 62M30, 62G05.

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Simulation of construction shape-forming process of cable domes

Feng

Yuan

2011

Sci. China Technol. Sci.

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A cable dome has no stiffness or load carrying capacity unless it has been prestressed. Analyses of cable domes are based on successful prestressing designs, making force finding analysis very important. A new force finding method named the imbalance force iterative method is proposed, which can overcome some limitations of the integrity feasible prestressing method. For instance, even if groups are assigned by mistake, the pretension distribution that satisfies the known geometry form can also be found. This method possess good stability and calculation efficiency, and a case study indicates that it is applicable to the force finding of large and complicated cable domes. On the other hand, form finding analysis of cable domes is also a key engineering problem. However, rigid displacement occurs in this process, which makes the analysis more complex. In this paper, the dynamic relaxation method was selected, and the problem of rigid displacement was therefore effectively solved. The method includes two steps: first, the stretching cables are released, and secondly, an axial force is imposed on the two ends of each released cable. This method is convenient in its calculation and clear in its conception. A case study indicates that the method is suitable for the simulation of the construction process of various cable domes and cable-strut tension structures. Moreover, a form finding experiment was conducted on a model of a cable dome with a diameter of 4.8 m by tensing diagonal cables. The behavior of the model in the form finding process was investigated. The experimental results indicate that the initial lengths of members and prestress loss are key issues in cable domes design. The results also prove that the methods of form finding and force finding proposed in this paper are reliable and effective. cable domes, force control of construction process, form control of construction process, imbalance force iterative method, dynamic relaxation method, construction shape-forming process experiment Citation:Ye J H, Feng R Q, Kan Y. Simulation of construction shape-forming process of cable domes.

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On the local odds ratio between points and marks in marked point processes

Cited by 5 publications

References 21 publications

Testing First-Order Spherical Symmetry of Spatial Point Processes

Testing First-Order Spherical Symmetry of Spatial Point Processes

Substationarity for spatial point processes

Simulation of construction shape-forming process of cable domes

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