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The main purpose of this work is to estimate the regression function of a real random variable with functional explanatory variable by using a recursive nonparametric kernel approach. The mean square error and the almost sure convergence of a family of recursive kernel estimates of the regression function are derived. These results are established with… (More)

Unambiguously distinguishing between nonorthogonal but linearly independent quantum states is a challenging problem in quantum information processing. In this work, an exact analytic solution to an optimum measurement problem involving an arbitrary number of pure linearly independent quantum states is presented. To this end, the relevant semi-definite… (More)

In this paper, we focus on Radic's definition for the determinant of non-square matrices. We develop some important properties of this determinant. We generalize several classical important determinant identities, including Dodgson's condensation, Cauchy-Binet, and Trahan for non-square matrices. Also, we propose an efficient algorithm with Θ((mn) 2) time… (More)

- A. Amiri
- 2014

A numerical method for solving the fuzzy generalized pantograph equation under fuzzy initial value conditions is presented. This technique provides a sequence of functions which converges to the exact solution to the problem and is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. To display the… (More)

- Aboubacar Amiri
- 2009

Let (X t , t ∈ N) be a R d-valued α-mixing process, where the X t 's have the same unknown density f. We suggest to estimate f, recursively, from the data X 1 ,. .. , X n. So, we introduce a subfamily of the general recursive kernel estimators initiated by Deheuvels (1974), including the most popular recursive estimators. For this subfamily, we establish… (More)

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