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.

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 A strong law of large numbers for harmonizable isotropic random fields

1997 ◽  
Vol 10 (3) ◽  
pp. 219-225 ◽  
Author(s):  
Randall J. Swift
Keyword(s):  
Random Field ◽  
Random Fields ◽  
Law Of Large Numbers ◽  
Natural Extension ◽  
Spherical Average ◽  
Strong Law ◽  
Isotropic Random Field ◽  
Large Numbers ◽  
Isotropic Random

The class of harmonizable fields is a natural extension of the class of stationary fields. This paper considers a strong law of large numbers for the spherical average of a harmonizable isotropic random field.

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