Local statistics of laminar expanding flames subjected to Darrieus–Landau instability

Quantifying the role of Darrieus–Landau instability in turbulent premixed flame speed determination at various burner sizes

Physics of Fluids ◽

10.1063/5.0032587 ◽

2021 ◽

Vol 33 (2) ◽

pp. 025104

Author(s):

Xin Wang ◽

Xiaobei Cheng ◽

Hao Lu ◽

Yishu Xu ◽

Yang Liu ◽

...

Keyword(s):

Flame Speed ◽

Premixed Flame ◽

Turbulent Premixed Flame ◽

Landau Instability ◽

Turbulent Premixed

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Consistency of bootstrap approximation to the null distributions of local spatial statistics with application to house price analysis

Journal of Inequalities and Applications ◽

10.1186/s13660-020-02482-x ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Chang-Lin Mei ◽

Shou-Fang Xu ◽

Feng Chen

Keyword(s):

Spatial Statistics ◽

Bootstrap Method ◽

Spatial Association ◽

House Price ◽

Housing Price ◽

Bootstrap Approximation ◽

Local Statistics ◽

Null Distributions ◽

Local Spatial Statistics ◽

Distribution Of A Statistic

Abstract With the increasing availability of spatially extensive geo-referenced data, much attention has been paid to the use of local statistics to identify local patterns of spatial association, in which the null distributions of local statistics play an essential role in the related statistical inference. As a powerful tool to approximate the distribution of a statistic, the bootstrap method is used in this paper to derive null distributions of the commonly used local spatial statistics including local Getis and Ord’s $G_{i}$ G i , Moran’s $I_{i}$ I i and Geary’s $c_{i}$ c i . Strong consistency of the bootstrap approximation to the null distributions of the statistics is proved under some mild conditions, and the Boston housing price data are analyzed to demonstrate the application of the theoretical results.

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Geographically Weighted Local Statistics Applied to Binary Data

Geographic Information Science - Lecture Notes in Computer Science ◽

10.1007/3-540-45799-2_3 ◽

2002 ◽

pp. 38-50 ◽

Cited By ~ 6

Author(s):

Chris Brunsdon ◽

Stewart Fotheringham ◽

Martin Charlton

Keyword(s):

Binary Data ◽

Local Statistics

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Integration of Satellite Data with High Resolution Ratio: Improvement of Spectral Quality with Preserving Spatial Details

Sensors ◽

10.3390/s18124418 ◽

2018 ◽

Vol 18 (12) ◽

pp. 4418 ◽

Cited By ~ 4

Author(s):

Aleksandra Sekrecka ◽

Michal Kedzierski

Keyword(s):

High Ratio ◽

Data Sets ◽

Spectral Quality ◽

Local Statistics ◽

Panchromatic Image ◽

Urbanized Area ◽

Fusion Methods ◽

Spatial Quality ◽

Different Levels

Commonly used image fusion techniques generally produce good results for images obtained from the same sensor, with a standard ratio of spatial resolution (1:4). However, an atypical high ratio of resolution reduces the effectiveness of fusion methods resulting in a decrease in the spectral or spatial quality of the sharpened image. An important issue is the development of a method that allows for maintaining simultaneous high spatial and spectral quality. The authors propose to strengthen the pan-sharpening methods through prior modification of the panchromatic image. Local statistics of the differences between the original panchromatic image and the intensity of the multispectral image are used to detect spatial details. The Euler’s number and the distance of each pixel from the nearest pixel classified as a spatial detail determine the weight of the information collected from each integrated image. The research was carried out for several pan-sharpening methods and for data sets with different levels of spectral matching. The proposed solution allows for a greater improvement in the quality of spectral fusion, while being able to identify the same spatial details for most pan-sharpening methods and is mainly dedicated to Intensity-Hue-Saturation based methods for which the following improvements in spectral quality were achieved: about 30% for the urbanized area and about 15% for the non-urbanized area.

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