Estimation in binary longitudinal data by using generalized estimating equation (GEE) becomes complicated in the presence of missing data because standard GEEs are only valid under the restrictive missing completely at random assumption. Weighted GEE has therefore been proposed to allow the validity of GEE's under the weaker missing at random assumption. Multiple imputation offers an attractive...

A word w is obtained by an arbitrary n-pattern interpretation of a word x if there are n homomorphisms h1, h2, . . . , hn and a positive integer k such that w = hi1(x)hi2 (x) · · ·hik (x) with 1 ≤ ij ≤ n for all 1 ≤ j ≤ k. This arbitrary multiple pattern interpretation of words is naturally extended to languages. We investigate some closure properties of the families of languages obtained by ar...

Open APIs are software intermediaries that make it possible for application programs to interact with data and processes, which can both be viewed as forms of services. In many scenarios, when one wants to obtain or publish a new service, one would like to check whether the new functionality can simply be obtained by suitably composing existing services. In this paper we study this problem by d...

A multiscale algorithm for the problem of optimal statistical interpolation of the observed data has been developed. This problem includes the calculation of the vector of the \analyzed" (best estimated) atmosphere ow eld w a by the formula w a = w f + P f H T y; where the quantity y is deened by the equation using the given model forecast rst guess w f and the vector of observations w o. H is ...

CrystEngComm This journal is © The Royal Society of Chemistry 2015 Department of Chemistry, School of Life Sciences, University of Sussex, Brighton BN1 9QJ, UK. E-mail: [email protected] b Laboratory of Inorganic and General Chemistry, Department of Chemistry, University of Ioannina, 451 10 Ioannina, Greece. E-mail: [email protected] c Departamento de Quimica Inorganica, Universitat de Barc...

In the present paper we apply the theory of skew-symmetric vanishing lattices developed around 15 years ago by B. Wajnryb, S. Chmutov, and W. Janssen for the necessities of the singularity theory to the enumeration of connected components in the intersection of two open opposite Schubert cells in the space of complete real flags. Let us briefly recall the main topological problem considered in ...

In the present paper we apply the theory of skew-symmetric vanishing lattices developed around 15 years ago by B. Wajnryb, S. Chmutov, and W. Janssen for the necessities of the singularity theory to the enumeration of connected components in the intersection of two open opposite Schubert cells in the space of complete real flags. Let us briefly recall the main topological problem considered in ...