The Sequential Estimation of the Seismoacoustic Source Energy in C-OTDR Monitoring Systems

The practical efficient approach is suggested for
estimation of the seismoacoustic sources energy in C-OTDR
monitoring systems. This approach is represents the sequential plan
for confidence estimation both the seismoacoustic sources energy, as
well the absorption coefficient of the soil. The sequential plan
delivers the non-asymptotic guaranteed accuracy of obtained
estimates in the form of non-asymptotic confidence regions with
prescribed sizes. These confidence regions are valid for a finite
sample size when the distributions of the observations are unknown.
Thus, suggested estimates are non-asymptotic and nonparametric,
and also these estimates guarantee the prescribed estimation accuracy
in form of prior prescribed size of confidence regions, and prescribed
confidence coefficient value.





References:
[1] J. C. Juarez, E. W. Maier, K. N. Choi, and H. F. Taylor, “Distributed
Fiber-Optic Intrusion Sensor System”, Journal of Lightwave
Technology, Vol. 23, Issue 6, 2005, pp. 2081-2087.
[2] S. S. Mahmoud, Y. Visagathilagar, J. Katsifolis., “Real-time distributed
fiber optic sensor for security systems: Performance, event classification
and nuisance mitigation". Photonic Sensors, Vol.2, Issue 3, 2012, pp.
225-236.
[3] V. Korotaev, V. M. Denisov, A. V. Timofeev, and M. G. Serikova,
"Analysis of seismoacoustic activity based on using optical fiber
classifier," in Latin America Optics and Photonics Conference, OSA
Technical Digest (online) (Optical Society of America, 2014), paper
LM4A.22.
[4] A. V. Timofeev, "Monitoring the Railways by Means of C-OTDR
Technology", International Journal of Mechanical, Aerospace,
Industrial and Mechatronics Engineering, 9(5), 2015, 620-623.
[5] Timofeev A. V., Egorov D. V., Multichannel classification of target
signals by means of an SVM ensemble in C-OTDR systems for remote
monitoring of extended objects, MVML-2014 Conference Proceedings
V.1, Prague, 2014.
[6] Timofeev A. V. The guaranteed detection of the seismoacoustic
emission source in the C- OTDR systems, International Journal of
Mathematical, Computational, Physical and Quantum Engineering,
Vol.8, Issue 10, 2014, pp. 1213-1216. [7] A. V. Timofeev, Non-asymptotic sequential confidence regions with
fixed sizes for the multivariate nonlinear parameters of regression,
Statistical Methodology, Vol.8, 5, 2009, pp. 513-526.