In this paper linear parallel interference cancellation (PIC) schemes are described and analysed using matrix algebra. It is shown that the linear PIC, whether conventional or weighted, can be seen as a linear matrix filter applied directly to the chip-matched filtered received signal vector. An expression for the exact bit error rate is obtained and conditions on the eigenvalues of the code co...

The finite sample properties of the Fourier estimator of integrated volatility under market microstructure noise are studied. Analytic expressions for the bias and the mean squared error of the contaminated estimator are derived. These formulae can be practically used to design optimal MSE-based estimators, which are very robust and efficient in the presence of noise. Moreover an empirical anal...

In this paper, a simplified model is used to qualitatively and quantitatively analyze two normalized data-reusing LMS algorithms when the input sequence is colored. The proposed approach relates the eigenvalue distribution of the input-signal autocorrelation matrix with probabilities of occurrence of subsequent parallel or orthogonal input-signal vectors. Closed-form formulas that describe stea...

This criterion should be contrasted with the RSS encountered earlier in the course. The RSS pertains to model estimation, since we are already assuming a given model for some particular data set; and it suffices to estimate the specific values of our estimators for the unknown parameters. The MSE combines the previous two criteria, on the unbiasedness and the variance of β̂, through the followin...

In the present draft, we propose the computational approach to generalized ratio type estimator of population mean of the main variable under study using auxiliary information. The expressions for the bias and mean square errors (MSE) have been obtained up to the first order of approximation. The minimum value of the MSE of the proposed estimator is also obtained for the optimum value of the ch...

A new approach to low-complexity channel estimation in orthogonal-frequency division multiplexing (OFDM) systems is proposed. A lowrank approximation is applied to a linear minimum mean-squared error (LMMSE) estimator that uses the frequency correlation of the channel. By using the singular-value decomposition (SVD) an optimal low-rank estimator is derived, where performance is essentially pres...

In recent years the structural similarity index has become a de facto standard among image quality metrics. Made up of three components, this technique assesses the visual impact of changes in luminance, contrast and structure in an image. Present applications of the index include image enhancement, video compression, video quality monitoring and signal encoding. As its status continues to rise...

This research aims to create the most efficient and accurate cab fare prediction system using two machine learning algorithms, Multiple linear Regression algorithm random forest algorithm, compare parameters r-square, Mean Square Error (MSE), Root MSE, RMSLE values evaluate efficiency of algorithm. Considering as group 1 algorithms implemented, 2 process was predict prices get best accuracy alg...

Re-sampling methods have long been used in survey sampling, dating back to Mahalanobis (1946). More recently, jackknife and bootstrap resampling methods have also been proposed for small area estimation; in particular for mean squared error (MSE) estimation and for constructing confidence intervals. We present a brief overview of early uses of resampling methods in survey sampling, and then pro...

In this paper, we derive maximum likelihood estimators (MLEs) and approximate MLEs (AMLEs) of the unknown parameters in a generalized half logistic distribution when the data are upper record values. As an illustration, we examine the validity of our estimation using real data and simulated data. Finally, we compare the proposed estimators in the sense of the mean squared error (MSE) through a ...