This work analyses the market value of second hand agricultural tractors in Spain for the period 1999-2002, with the aims of obtaining the most appropriate valuation models (through the use of ordinary least squares regression) and proposing an empirical model that estimates the true depreciation of these vehicles. Differences in tractor depreciation were studied in terms of the three horsepowe...

With increasing liquidity of the Indian sovereign debt market since 1997, it has become possible to estimate the term structure in India. However, the market is characterised by several frictions that cause individual securities to be priced differently from the 'average' pricing in the market. In such a scenario, traditional estimation procedures like ordinary least squares using various funct...

The paper concerns the development of a new adaptive PI controller for use in HVAC systems. The process of HVAC control can be described as a first order plus dead time model. A kind of arithmetic of recursive least squares (RLS) with exponential forgetting combined with model matching of a zero frequency method is adopted to estimate the model’s parameters while the system remained in closed l...

This paper presents a new method to increase the measurement resolution of quadrature encoders. The method contains an adaptive signal correction step and a signal interpolation step. Measured encoder signals contain imperfections including amplitude differences, mean offsets, and quadrature phase shift errors. With the proposed method, these errors are first corrected by using recursive least ...

In this paper, we present new version of numerically stable fast recursive least squares (NS-FRLS) algorithm. This new version is obtained by using some redundant formulae of the fast recursive least squares (FRLS) algorithms. Numerical stabilization is achieved by using a propagation model of first order of the numerical errors. A theoretical justification for this version is presented by form...

Very short-term probabilistic forecasts, which are essential for an optimal management of wind generation, ought to account for the nonlinear and double-bounded nature of that stochastic process. They take here the form of discrete-continuous mixtures of generalised logit-Normal distributions and probability masses at the bounds. Both autoregressive and conditional parametric autoregressive mod...

The standard approaches to solving overdetermined linear systems Ax ≈ b construct minimal corrections to the vector b and/or the matrix A such that the corrected system is compatible. In ordinary least squares (LS) the correction is restricted to b, while in data least squares (DLS) it is restricted to A. In scaled total least squares (Scaled TLS) [15], corrections to both b and A are allowed, ...

In this paper the relationships between covariance modiication and regularization in recursive least squares identiication are investigated. An update equation for the information matrix is derived and it is shown how regularization of the information matrix can be expressed as a particular type of covariance matrix modiication. The paper also presents an analysis of the eeects of a covariance ...