INTRODUCTION: Recombinant human erythropoietin (r-HuEPO) is used to treat symptomatic anaemia due to chemotherapy. A new r-HuEPO, Epoetin theta (Eporatio®), was investigated and compared to placebo in a randomised, double-blind clinical trial in adult cancer patients receiving nonplatinum-based chemotherapy. The primary efficacy endpoint was the responder rate (complete haemoglobin (Hb) respons...

We show that the empirical risk minimization (ERM) problem for neural networks has no solution in general. Given a training set $$s_1, \ldots , s_n \in {\mathbb {R}}^p$$ with corresponding responses $$t_1,\ldots ,t_n {R}}^q$$ fitting k-layer network $$\nu _\theta : {R}}^p \rightarrow involves estimation of weights $$\theta {R}}^m$$ via an ERM: $$\begin{aligned} \inf _{\theta {R}}^m} \ \sum _{i=...

We introduce a general method, based on a mapping onto quantum mechanics, for investigating the large-T limit of the distribution P(r,T) of the nonlinear functional r[V]=(1/T)integral(T)(0)dT' V[X(T')], where V(X) is an arbitrary function of the stationary Gaussian Markov process X(T). For T-->infinity at fixed r we obtain P(r,T) approximately exp[-theta(r)T], where theta(r) is a large-deviatio...

In this paper, we are interested in studying the existence or non-existence of solutions for a class elliptic problems involving N-Laplacian operator whole space. The nonlinearity considered involves critical Trudinger–Moser growth. Our approach is non-variational, and way can address wide range not yet contained literature. Even $$W^{1,N}({\mathbb {R}} ^N)\hookrightarrow L^\infty ({\mathbb ^N)...

Order statistics arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and double moments of order statistics are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic for different choices of r, n and /theta are presented. Recurrence relations between single and double moments of r...