Showing 1 - 10 of 12
Correlation coefficients have many applications for studying the relationship among multivariate observations. Classical inferences on correlation coefficients are mainly based on the normality assumption. This assumption is hardly realistic in the real world, which implies that the procedures...
Persistent link: https://www.econbiz.de/10005006578
This paper derives tests for skewness and kurtosis for the panel data one-way error component model. The test … departures away from normality in the form of skewness and kurtosis, and to identify whether these occur at the individual …
Persistent link: https://www.econbiz.de/10010702810
We study the estimation of some linear functionals which are based on an unknown lifetime distribution. The observations are assumed to be generated under the semi-parametric random censorship model (SRCM), that is, a random censorship model where the conditional expectation of the censoring...
Persistent link: https://www.econbiz.de/10010737769
We show that Akaike’s Information Criterion (AIC) and its variants are asymptotically efficient in integrated autoregressive processes of infinite order (AR(∞)). This result, together with its stationary counterpart established previously in the literature, ensures that AIC can ultimately...
Persistent link: https://www.econbiz.de/10011042035
Local polynomial regression is widely used for nonparametric regression. However, the efficiency of least squares (LS) based methods is adversely affected by outlying observations and heavy tailed distributions. On the other hand, the least absolute deviation (LAD) estimator is more robust, but...
Persistent link: https://www.econbiz.de/10011042049
We consider the problem of estimating the shape parameters in the multi- variate Liouville model in the presence of an unknown infinite-dimensional parameter. We propose an ad hoc estimate and show that it is asymptotically efficient.
Persistent link: https://www.econbiz.de/10005221273
In this paper the asymptotic Pitman efficiencies of the affine invariant multivariate analogues of the rank tests based on the generalized median of Oja are considered. Formulae for asymptotic relative efficiencies are found and, under multivariate normal and multivariatetdistributions, relative...
Persistent link: https://www.econbiz.de/10005221537
We propose here a robust extension of the bivariate Birnbaum–Saunders (BS) distribution derived recently by Kundu et al. (2010). This extension is based on scale mixtures of normal (SMN) distributions that are used for modeling symmetric data. This type of bivariate Birnbaum–Saunders...
Persistent link: https://www.econbiz.de/10011041898
kurtosis measures have been introduced, multivariate kurtosis orderings have received relatively little investigation. In this … paper, we propose and study a generalized multivariate kurtosis ordering. Under some conditions, this ordering is affine … ordering provide the kurtosis orderings for various existing multivariate kurtosis measures. Those kurtosis orderings are …
Persistent link: https://www.econbiz.de/10010572284
kurtosis-based projection methods. Practical relevance of theoretical results in the paper are illustrated with two well …
Persistent link: https://www.econbiz.de/10010718984