Trispectrum and higher order spectra for non-Gaussian homogeneous and isotropic random field on the 2D-plane

2017 ◽  
Vol 90 (3-4) ◽  
pp. 471-492
Author(s):  
Gyorgy Terdik
Keyword(s):  
Random Field ◽  
Higher Order ◽  
Isotropic Random Field ◽  
Non Gaussian ◽  
Higher Order Spectra ◽  
Isotropic Random

HIGHER-ORDER SPECTRA IN NANOPARTICLE GAS SENSORS

2004 ◽  
Vol 04 (04) ◽  
pp. L597-L603 ◽  
Author(s):  
J. M. SMULKO ◽  
J. EDERTH ◽  
L. B. KISH ◽  
P. HESZLER ◽  
C. G. GRANQVIST
Keyword(s):  
Gas Sensors ◽  
Higher Order ◽  
Gas Detection ◽  
Enhanced Sensitivity ◽  
Sensitivity And Selectivity ◽  
Contour Plots ◽  
Non Gaussian ◽  
Higher Order Spectra ◽  
Resistance Fluctuations

It has previously been shown that resistance fluctuations in resistive sensors provide enhanced sensitivity and selectivity for gas detection. We report measurements and analysis of non-Gaussian components in nanoparticle Pd z ( WO 3)1- z film gas sensors, with z being 0.01 or 0.12, in different ambients. These components can be characterized by higher-order spectra. Contour plots are given of bispectra, and plots of integrated bispectra and trispectra. The phase of the integrated higher-order spectra is analyzed as well.

scholarly journals Approximating a harmonizable isotropic random field

2001 ◽  
Vol 14 (3) ◽  
pp. 249-255
Author(s):  
Randall J. Swift
Keyword(s):  
Numerical Simulation ◽  
Random Field ◽  
Natural Extension ◽  
Isotropic Random Field ◽  
Series Approximation ◽  
Stochastic Series ◽  
Isotropic Random

The class of harmonizable fields is a natural extension of the class of stationary fields. This paper considers a stochastic series approximation of a harmonizable isotropic random field. This approximation is useful for numerical simulation of such a field.

scholarly journals ESTIMATION OF SAMPLE SPACING IN STOCHASTIC PROCESSES

2017 ◽  
Vol 36 (1) ◽  
pp. 43 ◽  
Author(s):  
Anders Rønn-Nielsen ◽  
Jon Sporring ◽  
Eva B. Vedel Jensen
Keyword(s):  
Electron Microscopy ◽  
Stochastic Processes ◽  
Random Field ◽  
Simulation Studies ◽  
Isotropic Random Field ◽  
Sample Spacing ◽  
Approximate Variance ◽  
Isotropic Random

Motivated by applications in electron microscopy, we study the situation where a stationary and isotropic random field is observed on two parallel planes with unknown distance. We propose an estimator for this distance. Under the tractable, yet flexible class of Lévy-based random field models, we derive an approximate variance of the estimator. The estimator and the approximate variance perform well in two simulation studies.

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