An algorithm for asymptotic approximation of Laplace integrals

Computing ◽  
1977 ◽  
Vol 18 (1) ◽  
pp. 51-58 ◽  
Author(s):  
H. -J. Wagner
Keyword(s):  
Asymptotic Approximation ◽  
Laplace Integrals

Packing densities of randomly constructed codes

1989 ◽  
Vol 26 (03) ◽  
pp. 512-523
Author(s):  
Clifton Sutton
Keyword(s):  
Linear Regression ◽  
Asymptotic Approximation ◽  
Hamming Distance ◽  
Random Packing ◽  
Approximation Formula ◽  
Empirical Constant ◽  
Non Linear ◽  
Packing Densities

Codes having all pairs of words separated by a Hamming distance of at least d are stochastically constructed by sequentially packing randomly generated q-ary n-tuples. Estimates of the random packing densities are obtained by repeated simulation. Using non-linear regression to fit the estimated densities, an asymptotic approximation formula is obtained for the packing densities which depends only on q, n, d, and an empirical constant.

Berry–Esseen bound for high dimensional asymptotic approximation of Wilks’ Lambda distribution

2006 ◽  
Vol 76 (12) ◽  
pp. 1191-1200 ◽  
Author(s):  
Vladimir V. Ulyanov ◽  
Hirofumi Wakaki ◽  
Yasunori Fujikoshi
Keyword(s):  
Asymptotic Approximation ◽  
High Dimensional ◽  
Wilks Lambda
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