scholarly journals Multidimensional change-point problems and boundary estimation

Author(s):  
A. B. Tsybakov
2020 ◽  
Author(s):  
Ibrar Ul Hassan Akhtar

UNSTRUCTURED Current research is an attempt to understand the CoVID-19 pandemic curve through statistical approach of probability density function with associated skewness and kurtosis measures, change point detection and polynomial fitting to estimate infected population along with 30 days projection. The pandemic curve has been explored for above average affected countries, six regions and global scale during 64 days of 22nd January to 24th March, 2020. The global cases infection as well as recovery rate curves remained in the ranged of 0 ‒ 9.89 and 0 ‒ 8.89%, respectively. The confirmed cases probability density curve is high positive skewed and leptokurtic with mean global infected daily population of 6620. The recovered cases showed bimodal positive skewed curve of leptokurtic type with daily recovery of 1708. The change point detection helped to understand the CoVID-19 curve in term of sudden change in term of mean or mean with variance. This pointed out disease curve is consist of three phases and last segment that varies in term of day lengths. The mean with variance based change detection is better in differentiating phases and associated segment length as compared to mean. Global infected population might rise in the range of 0.750 to 4.680 million by 24th April 2020, depending upon the pandemic curve progress beyond 24th March, 2020. Expected most affected countries will be USA, Italy, China, Spain, Germany, France, Switzerland, Iran and UK with at least infected population of over 0.100 million. Infected population polynomial projection errors remained in the range of -78.8 to 49.0%.


All known societies exclude and stigmatize one or more minority groups. Frequently these exclusions are underwritten with a rhetoric of disgust: people of a certain group, it is alleged, are filthy, hyper-animal, or not fit to share such facilities as drinking water, food, and public swimming pools with the ‘clean’ and ‘fully human’ majority. But exclusions vary in their scope and also in the specific disgust-ideologies underlying them. In this volume, interdisciplinary scholars from the United States and India present a detailed comparative study of the varieties of prejudice and stigma that pervade contemporary social and political life: prejudice along the axes of caste, race, gender, age, sexual orientation, transgender, disability, religion, and economic class. In examining these forms of stigma and their intersections, the authors present theoretically pluralistic and empirically sensitive accounts that both explain group-based stigma and suggest ways forward. These forward-looking remedies, including group resistance to subordination as well as institutional and legal change, point the way towards a public culture that is informed by our diverse histories of discrimination and therefore equipped to eliminate stigma in all of its multifaceted forms.


2020 ◽  
Vol 90 (23-24) ◽  
pp. 2769-2781
Author(s):  
Xin rong Li ◽  
LiuBo Wu ◽  
Zhaoning Bu ◽  
Lidong Liu

Pullout theory is very important in improving efficiency, quality, and production costs. Because production efficiency is too low for mechanical drafting equipment, a simple multi-field coupling model of fiber mechanics based on conserving momentum is proposed that considers the distribution of the fiber speed point, slip rate, and friction mechanics. When the roller draft multiple is increased, the position near the rear roller clamp mouth in the draft area will show a sharp decrease of fiber, which is caused by the rapid movement of the front fiber to drive the floating fiber movement, and it is also the existence of the fiber change point. When the roller spacing increases, the draft efficiency decreases, although the pressure applied by the roller to the fibrous strip has a weak effect on the draft efficiency. This research increases our understanding of drawing and provides theoretical support for the design of a new type of drawing.


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