We analyze the radiative aspects of nonsymmetric gravity theory to show that, in contrast to General Relativity, its nonstationary solutions cannot simultaneously exhibit acceptable asymptotic behavior at both future and past null infinity: good behavior at future null infinity is only possible through the use of advanced potentials with concomitant unphysical behavior at past null infinity.

This paper provides optimal testing procedures for the m-sample null hypothesis of Common Principal Components (CPC) under possibly non Gaussian and heterogenous elliptical densities. We first establish, under very mild assumptions that do not require finite moments of order four, the local asymptotic normality (LAN) of the model. Based on that result, we show that the pseudo-Gaussian test prop...

The so-called Common Principal Components (CPC) Model, in which the covariance matrices Σi of m populations are assumed to have identical eigenvectors, was introduced by Flury (1984), who develops Gaussian parametric inference methods for this model (Gaussian maximum likelihood estimation and Gaussian likelihood ratio testing). A key result in that context is the joint asymptotic normality of t...

Robust heteroclinic cycles in equivariant dynamical systems in R4 have been a subject of intense scientific investigation because, unlike heteroclinic cycles in R3, they can have an intricate geometric structure and complex asymptotic stability properties that are not yet completely understood. In a recent work, we have compiled an exhaustive list of finite subgroups of O(4) admitting the so-ca...

Multiple amino acid changes within herpes simplex virus type 1 (HSV-1) gB and gK cause extensive virus-induced cell fusion and the formation of multinucleated cells (syncytia). Early reports established that syncytial mutations in gK could not cause cell-to-cell fusion in the absence of gB. To investigate the interdependence of gB, gK, and UL20p in virus-induced cell fusion and virion de-envelo...

In this article we consider the stochastic restricted ridge estimation in semipara-metric linear models when the covariates are measured with additive errors. The development of penalized corrected likelihood method in such model is the basis for derivation of ridge estimates. The asymptotic normality of the resulting estimates are established. Also, necessary and sufficient condition...