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Canonical Estimation in a Rare-Events Regime [article]

Mesrob I. Ohannessian, Vincent Y. F. Tan, Munther A. Dahleh
2011 arXiv   pre-print
We propose a general methodology for performing statistical inference within a 'rare-events regime' that was recently suggested by Wagner, Viswanath and Kulkarni.  ...  Our approach allows one to easily establish consistent estimators for a very large class of canonical estimation problems, in a large alphabet setting.  ...  INTRODUCTION We propose a general methodology for performing statistical inference within the 'rare-events regime' suggested by Wagner, Viswanath and Kulkarni in [1] , referred to as WVK hereafter.  ... 
arXiv:1109.4564v2 fatcat:t64k5jo2rjajhju4u3klhpsmpm

Canonical estimation in a rare-events regime

Mesrob I. Ohannessian, Vincent Y. F. Tan, Munther A. Dahleh
2011 2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)  
Vincent Tan (UW-Madison) Estimation in a Rare Events Regime SILO 5 / 16 Y n = 1 n log p n n (X n,1 , . . . , X n,n ) + log n, f (x) = log x Vincent Tan (UW-Madison) Estimation in a Rare Events Regime SILO  ...  (x) = − log x Alphabet size Y n = |A n | n , f (x) = 1 x Vincent Tan (UW-Madison) Estimation in a Rare Events Regime SILO 6 / 16 All previous examples were canonical Probabilities Y n = 1 n log p n n (  ... 
doi:10.1109/allerton.2011.6120392 dblp:conf/allerton/OhannessianTD11 fatcat:oosbp2dgvrhu5ofa62qfi4jeme

Holocene fire and vegetation dynamics in a montane forest, North Cascade Range, Washington, USA

Susan J. Prichard, Ze'ev Gedalof, W. Wyatt Oswald, David L. Peterson
2009 Quaternary Research  
Climate appears to be a key driver in vegetation and fire regimes over millennial time scales.  ...  For example, dominance of P. contorta in the early Holocene forests may have been reinforced by its susceptibility to frequent, stand-replacing fire events.  ...  This manuscript is a contribution of the Western Mountain Initiative.  ... 
doi:10.1016/j.yqres.2009.03.008 fatcat:7vwtjfdaxrgippvnisrxmmsoya

Monte Carlo study of phase transitions in the bond-diluted 3D 4-state Potts model

Christophe Chatelain, Bertrand Berche, Wolfhard Janke, Pierre-Emmanuel Berche
2005 Nuclear Physics B  
Rare and typical events are identified and their role is qualitatively discussed in both regimes.  ...  In the former regime, the nature of the transition is essentially clarified through an analysis of the energy probability distribution. In the latter regime critical exponents are estimated.  ...  The authors gratefully thank Ian Campbell for a critical reading of the preprint which helped to improve it.  ... 
doi:10.1016/j.nuclphysb.2005.05.003 fatcat:wnutffwoqnacfmc5tmhgutgagy

An observational and modelling analysis of Laptev Sea (Arctic Ocean) ice variations during summer

K. Görgen, J. Bareiss, A. Helbig, A. Rinke, K. Dethloff
2001 Annals of Glaciology  
A canonical correlation analysis between Arctic sea-level pressure and sea-ice concentration anomalies confirms large-scale relationships among these variables.  ...  We did not find a simple relationship between sea-ice area anomalies and cyclone activity in the Laptev Sea area  ...  The pattern of the SIC shows the seasonal decrease of SIC in the Arctic's marginal seas, while the second correlated mode (the estimated canonical correlation is 0.7) shows a rather rare atmospheric circulation  ... 
doi:10.3189/172756401781818699 fatcat:2qhicexojvg4vfivylzn7s2a6q

Studying Strangeness Production with HADES

Heidi Schuldes, A. Mischke, P. Kuijer
2018 EPJ Web of Conferences  
The High-Acceptance DiElectron Spectrometer (HADES) operates in the 1 -2A GeV energy regime in fixed target experiments to explore baryon-rich strongly interacting matter in heavy-ion collisions at moderate  ...  temperatures with rare and penetrating probes.  ...  As strangeness is produced very rarely in the analyzed energy regime (typical one ss pair per event), its production is additionally suppressed by introducing a sub-volume, characterized by the canonical  ... 
doi:10.1051/epjconf/201817101001 fatcat:bqbkykonszfhpkkjauopz5i37y

Editorial: special issue on extremes in finance

Paul Embrechts
2014 Extremes  
Rare are the fields of application where an EVT related quantity is written in the law as a quantity to be statistically estimated; VaR is such a case.  ...  As the question involves statistical estimation of risk measures at quantile levels beyond 99 %, EVT becomes a canonical tool in some of the ensuing discussions.  ... 
doi:10.1007/s10687-014-0209-6 fatcat:fafar2pf5vbsjisehysxtmds6u

Rare Events and Scale-Invariant Dynamics of Perturbations in Delayed Chaotic Systems

Alejandro D. Sánchez, Juan M. López, Miguel A. Rodríguez, Manuel A. Matías
2004 Physical Review Letters  
As a consequence, Lyapunov vector dynamics is dominated by rare random events that lead to non-Gaussian fluctuations and multiscaling properties.  ...  We study the dynamics of perturbations in time delayed dynamical systems.  ...  From that figure we obtain an estimation of the growth exponent 0:25 0:03 in the intermediate times regime, before a stationary state is reached.  ... 
doi:10.1103/physrevlett.92.204101 pmid:15169355 fatcat:3svnxjjnkvahfe3d47fy6txbdy

Method for Detecting Neutrinos from Internal Shocks in GRB Fireballs with AMANDA

Michael Stamatikos
2004 AIP Conference Proceedings  
The expected neutrino event rate is a function of the distribution of each individual burst in measured (or best-estimated) red shift.  ...  Neutrino-based astronomy provides a new window on the most energetic processes in the universe.  ...  In the event of no GRB-ν signal, event upper limits will be calculated for each individual GRB.  ... 
doi:10.1063/1.1810819 fatcat:txwzi3jdtjabjfgzac7rkbyjra

Phase transition in the Jarzynski estimator of free energy differences

Alberto Suárez, Robert Silbey, Irwin Oppenheim
2012 Physical Review E  
The transition between a regime in which thermodynamic relations apply only to ensembles of small systems coupled to a large environment and a regime in which they can be used to characterize individual  ...  In the proper scaling limit, this regime change can be described in terms of a phase transition in variants of the random energy model (REM).  ...  However, the sum is dominated by rare events that need to be sufficiently well sampled so that the Monte Carlo estimate is close to the asymptotic result.  ... 
doi:10.1103/physreve.85.051108 pmid:23004704 fatcat:f2yavxzkjbhrtgmol2mtvbbm3u

Partitioning the variation in stream fish assemblages within a spatio-temporal hierarchy

Ben Stewart-Koster, Mark J. Kennard, Bronwyn D. Harch, Fran Sheldon, Angela H. Arthington, Bradley J. Pusey
2007 Marine and Freshwater Research  
Using canonical correspondence analysis, each of the three sets of variables explained similar amounts of variation in fish assemblages (ranging from 44 to 52%).  ...  local freshwater fish assemblages in the Mary River, south-eastern Queensland, Australia.  ...  Acknowledgements The research presented in this paper formed part of an Honours Dissertation by the senior author in the Australian School of Environmental Studies, Griffith University.  ... 
doi:10.1071/mf06183 fatcat:mxmrekbcbzh3vpcxkau3qz3rye

Neutrality and the Response of Rare Species to Environmental Variance

Lisandro Benedetti-Cecchi, Iacopo Bertocci, Stefano Vaselli, Elena Maggi, Fabio Bulleri, Jerome Chave
2008 PLoS ONE  
This effect translated into a marked decrease in the characteristic time scale of species turnover, highlighting the role of rare species in driving assemblage dynamics in fluctuating environments.  ...  The experimental results did not reject neutrality, but identified a positive effect of intermediate levels of environmental heterogeneity on the abundance of rare species.  ...  In a spatial context, Condit et al. [10] found adequate fit of a neutral model to empirical estimates of beta diversity in tropical forests at scales between 0.2 and 50 km.  ... 
doi:10.1371/journal.pone.0002777 pmid:18648545 pmcid:PMC2481292 fatcat:4xdvos7qjzagfhhastelzkrwcu

EFFECTS OF FLOW REGIME ON FISH ASSEMBLAGES IN A REGULATED CALIFORNIA STREAM

Michael P. Marchetti, Peter B. Moyle
2001 Ecological Applications  
The fishes in Lower Putah Creek, a regulated stream in the Central Valley of California, were sampled over a 5-yr period, 1994-1998.  ...  Hydrologic variability between years and seasons indicated that flow regime had a large effect on the fish assemblages.  ...  flow regime favors native fishes in a regulated stream (Poff et al. 1997) .  ... 
doi:10.1890/1051-0761(2001)011[0530:eofrof]2.0.co;2 fatcat:fank6ehzmfdbvbfcjlhabzjbqu

Effects of Flow Regime on Fish Assemblages in a Regulated California Stream

Michael P. Marchetti, Peter B. Moyle
2001 Ecological Applications  
The fishes in Lower Putah Creek, a regulated stream in the Central Valley of California, were sampled over a 5-yr period, 1994-1998.  ...  Hydrologic variability between years and seasons indicated that flow regime had a large effect on the fish assemblages.  ...  flow regime favors native fishes in a regulated stream (Poff et al. 1997) .  ... 
doi:10.2307/3060907 fatcat:b6hwxg45vngwhfcx3hn2ykbn6i

Achieving the Threshold Regime with an Overscreened Josephson Junction

Eugene V. Sukhorukov, Andrew N. Jordan
2009 Physical Review Letters  
In the underdamped limit, over-screening the junction inhibits the energy diffusion in the junction, effectively creating a tunable activation barrier to the dissipative state.  ...  We demonstrate that by utilizing an over-screened Josephson junction as a noise detector it is possible to achieve the threshold regime, whereby the tails of the fluctuating current distribution are measured  ...  The power of these current kicks is proportional to the velocityφ, and therefore creates positive feedback for rare-event activation in the weak damping regime, because the velocity continues to grows  ... 
doi:10.1103/physrevlett.102.086806 pmid:19257771 fatcat:zxqaawfk3jb77hrk3uizpebsuu
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