We develop the effective field theory of density fluctuations for a Newtonian self-gravitating N -body system in quasi-equilibrium, apply it to a homogeneous universe with small density fluctuations. Keeping the density fluctuation up to the second order, we obtain the nonlinear field equation of the 2-pt correlation ξ(r), which contains the 3-pt correlation and formal ultra-violet divergences....

<p style='text-indent:20px;'>This paper considers simultaneous optimal prediction and estimation problems in the context of linear random-effects models. Assume a pair seemingly unrelated models (SULREMs) with error terms correlated. Our aim is to find analytical formulas for calculating best unbiased predictors (BLUPs) all unknown parameters two by means solving constrained quadratic mat...

Motivated by an important biomarker study in nutritional epidemiology, we consider the combination of the linear mixed measurement error model and the linear seemingly unrelated regression model, hence Seemingly Unrelated Measurement Error Models. In our context, we have data on protein intake and energy (caloric) intake from both a food frequency questionnaire (FFQ) and a biomarker, and wish t...

Suppose you have to route agents through a network from a source node to a destination node in some optimal way; for instance by minimizing the total travel cost. Nothing new up to now – you could use a standard shortest-path algorithm. Suppose, however, that you want to avoid pure deterministic routing policies in order, for instance, to allow some exploration of the network, to avoid congesti...

This is an introduction of the initial publication of the new Special Section of the MCFNS journal on micro-detail detection and tracking problems and various related interdisciplinary studies in other disciplines, which are deemed to be synergistic or relevant to detection and tracking problems. The initial selection of publications presented here arose from the Smolensk Conference held on Oct...

In this article we consider the estimation of two seemingly unrelated Tobit regressions in which the dependent variables are truncated normal. The model is useful, since it can be viewed as the reduced form of a simultaneous-equations Tobit model. The proposed estimation method and algorithm are interesting in themselves for the following reasons. In the estimation of a simultaneous equations m...

Seemingly unrelated regression (SUR) models are useful in studying the interactions among different variables. In a high dimensional setting or when applied to large panel of time series, these models require a large number of parameters to be estimated and suffer of inferential problems. To avoid overparametrization and overfitting issues, we propose a hierarchical Dirichlet process prior for ...