Asymptotic Error Bounds for a Class of Interpolatory Quadratures

1984 ◽  
Vol 21 (1) ◽  
pp. 167-175 ◽  
Author(s):  
Martin Kütz
Keyword(s):  
Error Bounds ◽  
Asymptotic Error

ERROR BOUNDS FOR OCCUPATION MEASURE OF SINGULARLY PERTURBED MARKOV CHAINS INCLUDING TRANSIENT STATES

2000 ◽  
Vol 14 (4) ◽  
pp. 511-531 ◽  
Author(s):  
G. Yin ◽  
Q. Zhang ◽  
Q. G. Liu
Keyword(s):  
Markov Chains ◽  
Error Bounds ◽  
Queueing Networks ◽  
Large Scale ◽  
Singularly Perturbed ◽  
Planning System ◽  
Nonstationary Processes ◽  
Transient States ◽  
Asymptotic Error ◽  
Occupation Measures

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.

Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit

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

Asymptotic Error Expansions for Spline Interpolation

1984 ◽  
Vol 27 (3) ◽  
pp. 337-344 ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document