Exact distribution of Poisson shot noise with constant marks under power-law attenuation

2006 ◽  
Vol 42 (21) ◽  
pp. 1237 ◽  
Author(s):  
H. Koskinen ◽  
T. Tirronen ◽  
J. Virtamo
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Exact Distribution ◽  
Poisson Shot Noise

Estimation variance of dual-rotating-retarder Mueller matrix polarimeter in the presence of Gaussian thermal noise and poisson shot noise

2019 ◽  
Vol 22 (2) ◽  
pp. 025701 ◽  
Author(s):  
Naicheng Quan ◽  
Chunmin Zhang ◽  
Tingkui Mu ◽  
Siyuan Li ◽  
Caiyin You
Keyword(s):  
Shot Noise ◽  
Thermal Noise ◽  
Mueller Matrix ◽  
Estimation Variance ◽  
Poisson Shot Noise

Breast tissue characterization based on modeling of ultrasonic echoes using the power-law shot noise model

2003 ◽  
Vol 24 (4-5) ◽  
pp. 741-756 ◽  
Author(s):  
M.Alper Kutay ◽  
Athina P Petropulu ◽  
Catherine W Piccoli
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Breast Tissue ◽  
Tissue Characterization ◽  
Noise Model

scholarly journals On fixed points of Poisson shot noise transforms

2002 ◽  
Vol 34 (04) ◽  
pp. 798-825 ◽  
Author(s):  
Aleksander M. Iksanov ◽  
Zbigniew J. Jurek
Keyword(s):  
Fixed Points ◽  
Power Function ◽  
Shot Noise ◽  
Response Functions ◽  
Tail Behavior ◽  
Absolutely Continuous ◽  
Exponential Moments ◽  
Poisson Shot Noise

Distributional fixed points of a Poisson shot noise transform (for nonnegative and nonincreasing response functions bounded by 1) are characterized. The tail behavior of fixed points is described. Typically they have either exponential moments or their tails are proportional to a power function, with exponent greater than −1. The uniqueness of fixed points is also discussed. Finally, it is proved that in most cases fixed points are absolutely continuous, apart from the possible atom at zero.

scholarly journals On Scaling Limits of Power Law Shot-Noise Fields

2015 ◽  
Vol 31 (2) ◽  
pp. 187-207 ◽  
Author(s):  
François Baccelli ◽  
Anup Biswas
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Scaling Limits

Power-law shot noise and its relationship to long-memory α-stable processes

2000 ◽  
Vol 48 (7) ◽  
pp. 1883-1892 ◽  
Author(s):  
A.P. Petropulu ◽  
J.-C. Pesquet ◽  
Xueshi Yang
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Long Memory ◽  
Stable Processes

EVALUATING MEAN INTRINSIC CURVATURE OF DISORDERED SEMIFLEXIBLE BIOPOLYMERS

2012 ◽  
Vol 26 (24) ◽  
pp. 1250131 ◽  
Author(s):  
CHIN-YI HUNG ◽  
ZICONG ZHOU ◽  
YUAN-SHIN YOUNG ◽  
FANG-TING LIN
Keyword(s):  
Experimental Data ◽  
Distribution Function ◽  
Power Law ◽  
Short Range ◽  
Exact Distribution ◽  
Two Dimensional ◽  
Intrinsic Curvature ◽  
Short Range Correlation ◽  
Range Correlation ◽  
Exact Distribution Function

We study two-dimensional disordered semiflexible biopolymers with finite mean intrinsic curvature (MIC). We find exact distribution function of orientational angle for the system with short-range correlation (SRC) in intrinsic curvatures. We show that with a finite MIC, our theoretical end-to-end distances can be fitted well to some experimental data of DNA with long-range correlation (LRC) in sequences. Moreover, we find that the variance of the orientational angle has the same power-law behavior as that of the bending profile for DNA with LRC in sequences. Our results provide a way to evaluate MIC and suggest that the LRC in sequences can result in a SRC in intrinsic curvatures.

scholarly journals Large deviations for multidimensional state-dependent shot-noise processes

2015 ◽  
Vol 52 (04) ◽  
pp. 1097-1114 ◽  
Author(s):  
Amarjit Budhiraja ◽  
Pierre Nyquist
Keyword(s):  
Large Deviations ◽  
Shot Noise ◽  
Large Deviation ◽  
Physical Systems ◽  
Sample Paths ◽  
State Dependent ◽  
Light Tails ◽  
Engineering Sciences ◽  
Weak Convergence Approach ◽  
Poisson Shot Noise

Shot-noise processes are used in applied probability to model a variety of physical systems in, for example, teletraffic theory, insurance and risk theory, and in the engineering sciences. In this paper we prove a large deviation principle for the sample-paths of a general class of multidimensional state-dependent Poisson shot-noise processes. The result covers previously known large deviation results for one-dimensional state-independent shot-noise processes with light tails. We use the weak convergence approach to large deviations, which reduces the proof to establishing the appropriate convergence of certain controlled versions of the original processes together with relevant results on existence and uniqueness.

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