In this work, we develop a distributed least squares approximation (DLSA) method that is able to solve large family of regression problems (e.g., linear regression, logistic and Cox's model) on system. By approximating the local objective function using quadratic form, are obtain combined estimator by taking weighted average estimators. The resulting proved be statistically as efficient global ...

We say that a partial word w over an alphabet A is square-free if every factor xx of w such that x and x are compatible is either of the form ⋄a or a⋄ where ⋄ is a hole and a ∈ A. We prove that there exist uncountably many square-free partial words over a ternary alphabet with an infinite number of holes.