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Extreme value statistics and thermodynamics of earthquakes: aftershock sequences
Pareto and beta power laws cluster dimension frequency-magnitude regression laws order-statistics indipendence and clustering thermodynamics of aftershocks
2015/9/29
The Gutenberg-Richter magnitude-frequency law takes into account the minimum detectable magnitude, and treats aftershocks as if they were independent and identically distributed random events. A new m...
Extreme value statistics and thermodynamics of earthquakes: large earthquakes
Gutemberg-Richter Pareto laws
2015/9/28
A compound Poisson process is used to derive a new shape parameter which can be used to discriminate between large earthquakes and aftershock sequences. Sample exceedance distributions of large earthq...
Can Recent Innovations in Harmonic Analysis ‘Explain’ Key Findings in Natural Image Statistics?
Recent Innovations Natural Image Statistics
2015/8/21
Recently, applied mathematicians have been pursuing the goal of sparse coding of
certain mathematical models of images with edges. They have found by mathematical
analysis that, instead of wavelets ...
OPTIMAL AND FAST DETECTION OF SPATIAL CLUSTERS WITH SCAN STATISTICS
SPATIAL CLUSTERS SCAN STATISTICS
2015/8/20
We consider the detection of multivariate spatial clusters in the Bernoulli
model with N locations, where the design distribution has weakly dependent
marginals. The locations are scanned with a rec...
What Do Statistics on Graduate Education in Oceanography Tell Us?
Graduate Education Oceanography
2015/8/4
Every two years since 1978 the academic deans at ocean science graduate schools in the U.S.A. have met at an Ocean Science Educators' Retreat (OSER), where they have shared information on graduate stu...
USING COMPUTER SIMULATIONS TO HELP UNDERSTAND FLOW STATISTICS AND STRUCTURES AIROCEAN AT THE INTERFACE
UNDERSTAND FLOW STATISTICS COMPUTER SIMULATIONS
2015/7/23
The interaction among atmosphere, oceans, and surface waves is an important process with many oceanographic and environmental applications. It directly affects the motion and fate of pollutants such a...
ON the Statistics of Cision:The Julesz Conjecture.
Theorise of Data Analysis:From Magical Thinking Through Classical Statistics
Establish theory data analysis the classical statistics magical thinking
2015/7/14
Theorise of Data Analysis:From Magical Thinking Through Classical Statistics。
CLOSED EXPRESSIONS FOR AVERAGES OF SET PARTITION STATISTICS
Points theory triangular matrix the mean linear transfer fluid
2015/7/7
In studying the enumerative theory of super characters of the group of upper triangular matrices over a finite field we found that the moments (mean, variance and
higher moments) of novel...
CENTRAL LIMIT THEOREMS FOR SOME SET PARTITION STATISTICS
Parameters random limit theorem dimension index level
2015/7/7
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = f1;2; : : : ; ng. The arguments use a novel stochastic representation and are also ...
Galaxy merger statistics and inferred bulge-to-disk ratios in cosmological SPH simulations
formation spiral elliptical
2014/12/24
We construct merger trees for galaxies identified in a cosmological hydrodynamic simulation and use them to characterize predicted merger rates as a function of redshift, galaxy mass, and merger mass ...
An AzTEC 1.1 mm survey of the GOODS-N field - I. Maps, catalogue and source statistics
detectors sub-millimetre
2014/12/23
We have conducted a deep and uniform 1.1 mm survey of the Great Observatories Origins Deep Survey-North (GOODS-N) field with AzTEC on the James Clerk Maxwell Telescope. Here, we present the first resu...
Exact quantum Monte Carlo process for the statistics of discrete systems
Monte carlo and discrete quantum system statistical data the grid virtual transformation
2014/12/23
We propose an exact Monte Carlo approach for the statistics of discrete quantum systems that does not employ the standard partition of the imaginary time into a mesh and does not contain small paramet...
Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems
Quantum monte carlo procedures discretization discrete Hilbert space green's function
2014/12/22
We show how the worldline quantum Monte Carlo procedure, which usually relies on an artificial time discretization, can be formulated directly in continuous time, rendering the scheme exact. For an ar...
Quantum statistics: Is there an effective fermion repulsion or boson attraction?
Fermions and bosons highly misleading quantum statistics
2014/12/20
Physicists often claim that there is an effective repulsion between fermions, implied by the Pauli principle, and a corresponding effective attraction between bosons. We examine the origins and validi...