Therefore, as general guideline, if we suppose that the hypotheses for the asymptotic normality
P-values are computed assuming asymptotic normality
On the Asymptotic Normality
for p-mixing Dependent Errors of Wavelet Regression Function Estimator, Acta Mathematicae Applicatae Sinica, 31(2008), 1046-1055.
He discusses the role of expansions and asymptotics in statistics, the basic properties of power series and asymptotic series, the study of rational approximations to functions, and various applications, such as the use of the delta method for bias reduction, variance stabilization, and the construction of normalizing transformations, with a focus on asymptotic normality
and efficiency of standard estimators.
where, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a quadratic form obtained as a consequence of the asymptotic normality
described in (3).
Mahmoud, Smythe and Szymanski (12) used a representation with a generalized Polya urn to prove the asymptotic normality
1973, On the Asymptotic Normality
of the Maximum-Likelihood Estimate When Sampling From a Stable Distribution, Annals of Statistics, 1: 948-957.
GMTs of antibody and their confidence intervals were computed by transforming the results to a logarithmic scale, assuming asymptotic normality
conditions were satisfied on the scale and converting back to the original scale.