Park (2010) [8] presented a method to obtain the upper bound on efficiency in imprecise data envelopment analysis (IDEA) in which the envelopment model with imprecise data had been used. In this paper, we consider the dual model, the multiplier model, which involves the non-Archimedean element ε . Then, we define a model to determine the upper bound of ε . An assurance interval for the non-Arch...

In this paper we consider a heteroscedastic transformation model of the form Λθ(Y ) = m(X) + σ(X)ε, where Λθ belongs to a parametric family of monotone transformations, m(·) and σ(·) are unknown but smooth functions, ε is independent of the d-dimensional vector of covariates X, E(ε) = 0 and Var(ε) = 0. In this model, we first consider the estimation of the unknown components of the model, namel...

I shortly review the present status of the theoretical estimates of ε/ε . I consider a few aspects of the theoretical calculations which may be relevant in understanding the present experimental results. I discuss the role of higher order chiral corrections and in general of non-factorizable contributions for the explanation of the ∆I = 1/2 selection rule in kaon decays and ε/ε . Lacking reliab...

We define a finitary model of first-order Peano Arithmetic in which quantification is interpreted constructively in terms of Turing-computability, and show that it is inconsistent with the standard interpretation of PA. 1 Hilbert’s interpretation of quantification Hilbert interpreted quantification in terms of his ε-function as follows [Hi27]: IV. The logical ε-axiom 13. A(a)→ A(ε(A)) Here ε(A)...

Lattice calculations of matrix elements relevant for kaon decays, and in particular for ε/ε, are reviewed. The rôle of the strange quark mass is also discussed. A comparison with other non-perturbative approaches used to compute kaon decay amplitudes is made. † Presented by G. Martinelli.

The present theoretical status of the parameter for direct CP violation ε/ε in the Standard Model is reviewed and compared with most recent experimental measurements of the same quantity. After collecting the basic expressions for ε/ε, the situation of hadronic matrix element calculations is summarised. The matrix elements constitute the dominant source of uncertainty for theoretical determinat...