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Law of large numbers for branching symmetric Hunt processes with measure-valued branching rates
Law of large numbers branching Hunt processes spine approach h-transform spectral gap
2016/1/26
We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the ...
Strong law of large numbers for supercritical superprocesses under second moment condition
superprocess scaling limit theorem Hunt process spec- tral gap h-transform martingale measure
2016/1/26
Strong law of large numbers for supercritical superprocesses under second moment condition.
A Strong Law of Large Numbers for Super-stable Processes
Strong Law Large Numbers Super-stable Processes
2016/1/20
A Strong Law of Large Numbers for Super-stable Processes.
Strong law of large number of a class of super-diffusions
Spatial autoregression Dynamic panels Fixed e¤ects Quasi-maximum likelihood estima
2016/1/19
Strong law of large number of a class of super-diffusions.
Range-Renewal Processes: SLLN, Power Law and Beyonds
Range-renewal SLLN Power Law Small World Regular Varying
2013/6/14
Given $n$ samples of a regular discrete distribution $\pi$, we prove in this article first a serial of SLLNs results (of Dvoretzky and Erd\"{o}s' type) which implies a typical power law when $\pi$ is ...
Using GPU Simulation to Accurately Fit to the Power-Law Distribution
Zipf distribution power law Kolmogorov-Smirnov test parallel computing simulation graph-ics processing unit programming
2013/6/14
This article describes a methodology for fitting experimental data to the discrete power-law distribution and provides the results of a detailed simulation exercise used to calculate accurate cutoff v...
Power-law of Aggregate-size Spectra in Natural Systems
aggregate-size fractal dimension river basins networks systems allometry
2013/4/28
Patterns of animate and inanimate systems show remarkable similarities in their aggregation. One similarity is the double-Pareto distribution of the aggregate-size of system components. Different mode...
Power-law distributions in binned empirical data
power-law distribution heavy-tailed distributions model selec-tion binned data
2012/9/18
Many man-made and natural phenomena, including the intensity of earthquakes, population of cities, and size of international wars, are believed to follow power-law distributions. The accurate identifi...
Black swans or dragon kings? A simple test for deviations from the power law
Black swans or dragon kings the power law A simple test for deviations
2011/3/25
We develop a simple test for deviations from power law tails, which is based on the asymptotic properties of the empirical distribution function. We use this test to answer the question whether great ...
A strong law for the rate of growth of long latency periods in cloud computing service
large deviations long strange segments latency periods
2010/10/19
Cloud-computing shares a common pool of resources across customers at a scale that is orders of magnitude larger than traditional multi-user systems. Constituent physical compute servers are allocated...
Zipf's law and log-normal distributions in measures of scientific output across fields and institutions：40 years of Slovenia's research as an example
Zipf’s law citation distribution g-index h-index ranking
2010/3/11
Slovenia’s Current Research Information System (SICRIS) currently hosts 86,443 publications with citation data from 8,359 researchers working on the whole plethora of social and natural sciences from ...
Sharp Bounds on the Entropy of the Poisson Law and Related Quantities
Sharp Bounds Entropy Poisson Law Related Quantities
2010/3/9
One of the difficulties in calculating the capacity of
certain Poisson channels is that H(), the entropy of the Poisson
distribution with mean , is not available in a simple form. In
this work we...
Rate of convergence in the strong law of large numbers
Rate of convergence the strong law of large numbers
2009/9/24
Rate of convergence in the strong law of large numbers。
On the rate on convergence for the weak law of large numbers
the rate on convergence the weak law of large numbers
2009/9/24
On the rate on convergence for the weak law of large numbers。
Law of the iterated logarithm - cluster points of deterministic and random subsequences
Law of the iterated logarithm cluster points of deterministic random subsequences
2009/9/24
Law of the iterated logarithm - cluster points of deterministic and random subsequences。