On Bootstrapping Using Smoothed Bootstrap

Author(s):  
Sulafah Binhimd
Keyword(s):  
1997 ◽  
Vol 26 (2) ◽  
pp. 163-176 ◽  
Author(s):  
Rudy Guerra ◽  
Alan M. Polansky ◽  
William R. Schucany

2016 ◽  
Vol 47 (3) ◽  
pp. 1099
Author(s):  
Ch. Gkarlaouni ◽  
E. Papadimitriou ◽  
S. Lasocki ◽  
G. Lizurek ◽  
V. Karakostas ◽  
...  

Possible systematic variations in earthquake occurrence and fluctuations in seismicity behaviourof two seismically active regions in Greece which share common seismotectonic properties, is the aim of this study. Mygdonia graben in northern Greeceis characterized by arather moderate background seismicity, with small earthquakes between 2008-2012 whereas Corinth Gulf in southern Greeceexhibits a constantly high seismicity rate with several seismic activations during the recent instrumental period or before. The statistical approach of seismicity was accomplished, regardingthe magnitude, the inter-event time and distance for recent seismicity as a tool to quantify complex earthquake occurrence ordense spatial andtemporal clustering. For this reason, complete catalogues were compiled for the time period of the study. Probabilistic tests such as the smoothed bootstrap test for modality and bump–hunt were employed in order to unveil the complexity of the probability density function distribution of the above parameters. On the other handspatial earthquake distribution wasalso investigated under the frameof their fractal properties since the fractal coefficientcan largely express the clustering degree of seismicity. The goal of this stochasticanalysisis the quantification of the differentiationin seismicity propertiesinthese two important seismogenic normal fault populations in the back arc Aegean area. 


2016 ◽  
Vol 33 (11) ◽  
pp. 2976-2989 ◽  
Author(s):  
Joseph Mingrone ◽  
Edward Susko ◽  
Joseph Bielawski

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1212
Author(s):  
Xin Gao ◽  
Frank Konietschke ◽  
Qiong Li

Simultaneous confidence intervals are commonly used in joint inference of multiple parameters. When the underlying joint distribution of the estimates is unknown, nonparametric methods can be applied to provide distribution-free simultaneous confidence intervals. In this note, we propose new one-sided and two-sided nonparametric simultaneous confidence intervals based on the percentile bootstrap approach. The admissibility of the proposed intervals is established. The numerical results demonstrate that the proposed confidence intervals maintain the correct coverage probability for both normal and non-normal distributions. For smoothed bootstrap estimates, we extend Efron’s (2014) nonparametric delta method to construct nonparametric simultaneous confidence intervals. The methods are applied to construct simultaneous confidence intervals for LASSO regression estimates.


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