We consider the classical statistical learning/regression problem, when the value of a real random variable Y is to be predicted based on the observation of another random variableX . Given a class of functions F and a sample of independent copies of (X,Y ), one needs to choose a function f̂ from F such that f̂(X) approximates Y as well as possible, in the mean-squared sense. We introduce a new p...

runoff estimation resulted from precipitation is the basis of more study in various develop and exploit design from water resource, then its measure and calculation due to environmental bottlenecks, always have a plenty problem. as a result of the importance of output runoff estimation and flood volume in watershed for the sake of country integrated watershed management in this study tried to 9...

conclusions the present research demonstrated that the ultrasonic (us) process can be utilized as an effective and simple method for treatment of mg dye in an aqueous solution. moreover, the eeo is directly proportional to the mg concentration and power density and inversely proportional to temperature and mechanical agitation, which can be predicted by the obtained empirical kinetics model. co...

many empirical papers have applied a semi-parametric two-stage procedure named tobit model to investigate the sources of inefficiency in different industries over the last two decades. using this approach in small samples has recently been criticized for a possible bias in its results. in very recent papers simar and wilson (2007) have tackled this problem by suggesting an alternative bootstrap...

Let F be a class of measurable functions f :S 7→ [0,1] defined on a probability space (S,A, P ). Given a sample (X1, . . . ,Xn) of i.i.d. random variables taking values in S with common distribution P , let Pn denote the empirical measure based on (X1, . . . ,Xn). We study an empirical risk minimization problem Pnf →min, f ∈ F . Given a solution f̂n of this problem, the goal is to obtain very ge...