Asymptotic error bounds of product formulas for functions with interior singularity

Motivated by many applications in production planning, system reliability, queueing networks, and wireless communication, this work is devoted to singularly perturbed Markov chains with finite states. Focusing on nonstationary processes with the inclusion of transient states, asymptotic error bounds of a sequence of suitably scaled occupation measures are derived. The main tools used include martingales and differential equations. The results are useful for analyzing structural properties of the underlying Markov chains and for designing nearly optimal and hierarchical controls of large-scale and complex systems.

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Asymptotic error bounds in Galerkin approximation for a certain class of quasipotential equations

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(90)90201-3 ◽

1990 ◽

Vol 30 (3) ◽

pp. 133-140

Author(s):

E.P. Zhidov ◽

E.G. Nikonov ◽

B.N. Khoromskii

Keyword(s):

Error Bounds ◽

Galerkin Approximation ◽

Asymptotic Error

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Linear Model Regression on Time-series Data: Non-asymptotic Error Bounds and Applications

2018 IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2018.8619074 ◽

2018 ◽

Cited By ~ 2

Author(s):

Atiye Alaeddini ◽

Siavash Alemzadeh ◽

Afshin Mesbahi ◽

Mehran Mesbahi

Keyword(s):

Time Series ◽

Linear Model ◽

Error Bounds ◽

Time Series Data ◽

Series Data ◽

Asymptotic Error

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Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit

Contributions to Probability and Statistics ◽

10.1007/978-1-4612-3678-8_30 ◽

1989 ◽

pp. 429-446

Author(s):

F. C. Drost ◽

W. C. M. Kallenberg ◽

D. S. Moore ◽

J. Oosterhoff

Keyword(s):

Error Bounds ◽

Asymptotic Error ◽

Tests Of Fit

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Asymptotic Error Expansions for Spline Interpolation

Canadian Mathematical Bulletin ◽

10.4153/cmb-1984-051-7 ◽

1984 ◽

Vol 27 (3) ◽

pp. 337-344 ◽

Cited By ~ 3

Author(s):

H. P. Dikshit ◽

A. Sharma ◽

J. Tzimbalario

Keyword(s):

Error Bounds ◽

Finite Interval ◽

Spline Interpolation ◽

Asymptotic Error ◽

End Conditions ◽

Odd Degree ◽

Error Expansion ◽

Analysis Of Error ◽

Asymptotic Error Expansions

AbstractDuring the last decade or so there has been a revival of interest in the analysis of error-bounds f(s)-S(s) for different classes of functions and their interpolatory splines of odd degree on a finite interval with variations on end conditions. Our object is to present a unified treatment of the asymptotic error expansion both for even and for odd degree interpolatory splines.

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