Abstract. We consider the regression model with errors-in-variables where we observe n i.i.d. copies of (Y, Z) satisfying Y = f(X) + ξ, Z = X + σε, involving independent and unobserved random variablesX, ξ, ε. The density g ofX is unknown, whereas the density of σε is completely known. Using the observations (Yi, Zi), i = 1, · · · , n, we propose an estimator of the regression function f , buil...

in this paper, a mathematical method is proposed to formulate a generalized ordering problem. this model is formed as a linear optimization model in which some variables are binary. the constraints of the problem have been analyzed with the emphasis on the assessment of their importance in the formulation. on the one hand, these constraints enforce conditions on an arbitrary subgraph and then g...

In a structural time series regression model, binary variables have been used to quantify qualitative or categorical quantitative events such as politic and economic structural breaks, regions, age groups and etc. The use of the binary dummy variables is not reasonable because the effect of an event decreases (increases) gradually over time not at once. The simple and basic idea in this paper i...