Power law distributions in a new toy model with interacting N agents

Abstract A new toy model with interacting N agents is proposed in this paper. The agents in this model possess quantity, and have an interaction radius depending on the quantity. They exchange a part of the quantity with agents belonging to within their interaction radii. The cumulative distribution function about observing the quantity in a stationary state exhibits a power law, and the exponent is universally close to –1 if the density of agents is sufficiently small.

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Image Enhancement Technique based on Power-Law Transformation of Cumulative Distribution Function

2019 3rd International Conference on Advanced Information and Communications Technologies (AICT) ◽

10.1109/aiact.2019.8847876 ◽

2019 ◽

Cited By ~ 1

Author(s):

Sergei Yelmanov ◽

Olena Hranovska ◽

Yuriy Romanyshyn

Keyword(s):

Distribution Function ◽

Image Enhancement ◽

Power Law ◽

Cumulative Distribution Function ◽

Cumulative Distribution ◽

Enhancement Technique

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Detection of Giant pulses from pulsar PSR B0950+08

Proceedings of the International Astronomical Union ◽

10.1017/s1743921312024660 ◽

2012 ◽

Vol 8 (S291) ◽

pp. 502-504

Author(s):

T. V. Smirnova

Keyword(s):

Distribution Function ◽

Flux Density ◽

Power Law ◽

Pulse Energy ◽

Cumulative Distribution Function ◽

Cumulative Distribution ◽

Maximum Peak ◽

Giant Pulses ◽

Peak Flux ◽

The Mean

AbstractWe investigated pulse intensities of PSR B0950+08 at 112 MHz at various longitudes (phases) and detected very strong pulses exceeding the amplitude of the mean profile by more than one hundred times. The maximum peak flux density of a recorded pulse is 15240 Jy, and the energy of this pulse exceeds the mean pulse energy by a factor of 153. The analysis shows that the cumulative distribution function (CDF) of pulse intensities at the longitudes of the main pulse is described by a piece-wise power law, with a slope changing from n=−1.25 ± 0.04 to n=−1.84 ± 0.07 at I≥600 Jy. The CDF for pulses at the longitudes of the precursor has a power law with n=−1.5 ± 0.1. Detected giant pulses from this pulsar have the same signature as giant pulses of other pulsars.

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Gradient based empirical cumulative distribution function approximation for robust aerodynamic design

Aerospace Science and Technology ◽

10.1016/j.ast.2021.106630 ◽

2021 ◽

pp. 106630

Author(s):

Elisa Morales ◽

Andrea Bornaccioni ◽

Domenico Quagliarella ◽

Renato Tognaccini

Keyword(s):

Distribution Function ◽

Function Approximation ◽

Cumulative Distribution Function ◽

Cumulative Distribution ◽

Aerodynamic Design ◽

Empirical Cumulative Distribution Function ◽

Gradient Based

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Determinants of the Strategic Mortgage Default Cumulative Distribution Function

Journal of Real Estate Literature ◽

10.1080/10835547.2016.12090420 ◽

2016 ◽

Vol 24 (1) ◽

pp. 183-199

Author(s):

Michael J. Seiler

Keyword(s):

Distribution Function ◽

Cumulative Distribution Function ◽

Cumulative Distribution ◽

Mortgage Default

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DISSONANCE — A MEASURE OF VARIABILITY FOR ORDINAL RANDOM VARIABLES

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488501000594 ◽

2001 ◽

Vol 09 (01) ◽

pp. 39-53 ◽

Cited By ~ 2

Author(s):

RONALD R. YAGER

Keyword(s):

Distribution Function ◽

Cumulative Distribution Function ◽

Probability Distributions ◽

Random Variables ◽

Cumulative Distribution ◽

General Properties

We look at the issue of obtaining a variance like measure associated with probability distributions over ordinal sets. We call these dissonance measures. We specify some general properties desired in these dissonance measures. The centrality of the cumulative distribution function in formulating the concept of dissonance is pointed out. We introduce some specific examples of measures of dissonance.

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