Introduction to Daniels (1954) Saddlepoint Approximations in Statistics

Author(s):  
Elvezio Ronchetti
2014 ◽  
Vol 60 (5) ◽  
pp. 2647-2666 ◽  
Author(s):  
Jonathan Scarlett ◽  
Alfonso Martinez ◽  
Albert Guillen i Fabregas

1990 ◽  
Vol 27 (03) ◽  
pp. 586-597 ◽  
Author(s):  
Suojin Wang

A saddlepoint approximation is derived for the cumulative distribution function of the sample mean of n independent bivariate random vectors. The derivations use Lugannani and Rice's saddlepoint formula and the standard bivariated normal distribution function. The separate versions of the approximation for the discrete cases are also given. A Monte Carlo study shows that the new approximation is very accurate.


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