In a nonlinear model y = q(0) + e a standard linearization consists in linearizing n(0) at a point 0*, and in computing the M. L. estimate T(y, 0*) in the linearized model. We propose to take T(Y):= (T(Y,0), ...,T(y,0)) for some 0,...,0 (= the sufficient statistic), linearize each T(y, 0) separately, and then to compute the M. L. estimate 0(y). The variable 0(y) has a smaller variance than T(y,...

In a recent paper, Pawale [22] investigated quasi-symmetric 2-(v, k, λ) designs with intersection numbers x > 0 and y = x+ 2 with λ > 1 and showed that under these conditions either λ = x + 1 or λ = x + 2, or D is a design with parameters given in the form of an explicit table, or the complement of one of these designs. In this paper, quasi-symmetric designs with y−x = 3 are investigated. It is...

Let D be a statistical design consisting of v varieties on b blocks. We say it is binary if a variety occurs at most once on every block. For varieties p and q on blocks x and y respectively, we can obtain design D' from D by interchanging p and q (so p is on y and q is on x). We say that the exchange is binary if either x y, or p q, or: q not on x and p not on y. If D is binary then D' is also...

Let (Y; A) be an association scheme with primitive idempotents E 0 ; E 1 ;. .. ; E d. For T f1;. .. ; dg, a Delsarte T-design in (Y; A) is a subset D of Y whose characteristic vector is annihilated by the idempotents E j (j 2 T). The case most studied is that in which (Y; A) is Q-polynomial and T = f1;. .. ; tg. For many such examples, a combina-torial characterization is known, giving an equiv...

Target cascading in product development is a systematic effort to propagate the desired top-level system design targets to appropriate specifications for subsystems and components in a consistent and efficient manner. If analysis models are available to represent the relevant design decisions, analytical target cascading can be formalized as a hierarchical multilevel optimization problem. The a...

We consider the design of adaptive, nonparametric statistical tests of dependence: that is, tests of whether a joint distribution Pxy factorizes into the product of marginals PxPy with the null hypothesis that H0 : X ∈ X ⊆ Rx and Y ∈ Y ⊆ Ry are independent. While classical tests of dependence, such as Pearson’s correlation and Kendall’s τ , are able to detect monotonic relations between univari...

The bilevel programming (BP) problem is a hierarchical optimization problem where a subset of the variables is constrained to be a solution of a given optimization problem pa-rameterized by the remaining variables. The BP problem is a multilevel programming problem with two levels. The hierarchical optimization sctructure appears naturally in many applications when lower level actions depend on...

• Alloush, I.; Chiprianov, V.; Kermarrec, Y. & Rouvrais, S: Linking Telecom Service High-Level Abstract Models to Simulators Based on Model Transformations: The IMS Case Study. Information and Communication Technologies.18th EUNICE/ IFIP, Springer Berlin Heidelberg, 2012. • Alloush, I.; Kermarrec, Y. & Rouvrais, S. A Generalized Model Transformation Approach to Link Design Models to Network Sim...

We propose a conceptual framework, called the Rugby Model, in which designs, design processes and design tools can be studied. The model has similar objectives as the well known Y chart [1] but its scope is extended to handle designs and design processes required for complex systems requiring concurrent processes and mixed HW/SW implementation. The Rugby model has four domains, namely, Computat...

Subsampling strategies are derived to sample a small portion of design (data) points in a low-dimensional linear regression model y = Xβ+ε with near-optimal statistical rates. Our results apply to both problems of estimation of the underlying linear model β and predicting the real-valued response y of a new data point x. The derived subsampling strategies are minimax optimal under the fixed des...