On the saddlepoint approximation of the dependence testing bound in memoryless channels, Proc. of the IEEE International Conference on Communications, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02457361
One-Dimensional Stable Distributions, 1986. ,
, Saddlepoint Approximations, 1995.
, An Introduction to Probability Theory and Its Applications, vol.2, 1971.
Saddlepoint approximations in statistics, The Annals of Mathematical Statistics, vol.25, issue.4, pp.631-650, 1954. ,
, Exact saddlepoint approximations, Biometrika, vol.67, issue.1, pp.59-63, 1980.
, Tail probability approximations, International Statistical Review / Revue Internationale de Statistique, vol.55, issue.1, pp.37-48, 1987.
The uniform asymptotic expansion of a class of integrals related to cumulative distribution functions, SIAM J. Math. Anal, vol.13, issue.2, pp.239-253, 1982. ,
Saddle point approximation for the distribution of the sum of independent random variables, Advances in Applied Probability, vol.12, issue.2, pp.475-490, 1980. ,
On the probability function in the collective theory of risk, Skand. Aktuarie Tidskr, vol.15, pp.175-195, 1932. ,
On the absolute constants in the Berry-Esseen type inequalities for identically distributed summands, 2011. ,
Channel coding rate in the finite blocklength regime, IEEE Transactions on Information Theory, vol.56, issue.5, pp.2307-2359, 2010. ,
A second-order achievable rate region for Gaussian multi-access channels via a central limit theorem for functions, IEEE Transactions on Information Theory, vol.61, issue.12, pp.6719-6733, 2015. ,
A unified approach to Gaussian channels with finite blocklength, 2014. ,
Saddlepoint approximations of lower and upper bounds to the error probability in channel coding, Proc. of the 52nd Annual Conference on Information Sciences and Systems (CISS), pp.1-6, 2018. ,
A complex-integration approach to the saddlepoint approximation for random-coding bounds, Proc. of the 11th International Symposium on Wireless Communications Systems (ISWCS), pp.618-621, 2014. ,
Channel coding: non-asymptotic fundamental limits, 2010. ,