In this paper, the continuous optimal control theory is used to model and solve the maximum entropy problem for a continuous random variable. The maximum entropy principle provides a method to obtain least-biased probability density function (Pdf) estimation. In this paper, to find a closed form solution for the maximum entropy problem with any number of moment constraints, the entropy is consi...

We consider the problem of selecting functional variables using the L1 regularization in a functional linear regression model with a scalar response and functional predictors in the presence of outliers. Since the LASSO is a special case of the penalized least squares regression with L1-penalty function it suffers from the heavy-tailed errors and/or outliers in data. Recently, the LAD regressio...

Key Points • Palpation of functional cranial tibial thrust instability during weight-bearing is used to assess knee stability preand post-operatively. • Variation in radiographic landmarks to determine stifle flexion angle (SFA) leads to variable TTA cage size recommendations. Use of the Long Axes Method leads to larger advancement recommendations than Kinematic or Eminence Methods. • Variation...

In this article, we established new travelling wave solutions for the loaded Benjamin-Bona-Mahony and modified equation by functional variable method. The performance of method is reliable effective gives exact solitary periodic solutions. All these equations have been examined three dimensional graphics obtained drawn using Matlab program. We get some traveling solutions, which are expressed h...