6 citations · 15 across the 13 of their papers we have counts for
4 papers · 1 filter
Accurate inference for a one parameter distribution based on the mean of a transformed sample
C. S. Withers, S. Nadarajah
A great deal of inference in statistics is based on making the approximation that a statistic is normally distributed. The error in doing so is generally and can be v…
Nonparametric estimates of low bias
C. S. Withers, S. Nadarajah
We consider the problem of estimating an arbitrary smooth functional of distribution functions (d.f.s.) in terms of random samples from them. The natural estimate repla…
The distribution and quantiles of functionals of weighted empirical distributions when observations have different distributions
C. S. Withers, S. Nadarajah
This paper extends Edgeworth-Cornish-Fisher expansions for the distribution and quantiles of nonparametric estimates in two ways. Firstly it allows observations to have different d…
The distribution of the maximum of a second order autoregressive process: the continuous case
C. S. Withers, S. Nadarajah
We give the distribution function of , the maximum of a sequence of observations from an autoregressive process of order 2. Solutions are first given in terms of repeated…