Least squares regression based on probability plots, also called rank regression, can be used to estimate the parameters of some distributions. Regression is performed between a function of the empirical distribution function and the order statistic as the independent variable. Using large sample properties of the empirical distribution function and order statistics, weights to stabilize the va...

We formulate and evaluate weighted and ordinary least squares procedures for estimating the parametric rate function of a nonhomogeneous Poisson process. Special emphasis is given to processes having an exponential rate function, where the exponent may include a polynomial component or some trigonometric components or both. Theoretical and experimental evidence is provided to explain some surpr...

Suprathreshold stochastic resonance (SSR) is a distinct form of stochastic resonance, which occurs in multilevel parallel threshold arrays with no requirements on signal strength. In the generic SSR model, an optimal weighted decoding scheme shows its superiority in minimizing the mean square error (MSE). In this study, we extend the proposed optimal weighted decoding scheme to more general inp...

In seepage problems, the coefficients of permeability in Laplace equation are usually assumed to be constant vs. both space and time; but in reality these coefficients are variable. In this study, the effect of material deformation due to external loads (consolidation) and variation of head in the consolidation process are considered. For the first case, formulation of kx and ky can be defined ...

in this paper, least square method (lsm) and differential transformation method (dtm) are used to solve the problem of laminar nanofluid flow in a semi-porous channel in the presence of transverse magnetic field. due to existence some shortcomings in each method, a novel and efficient method named ls-dtm is introduced which omitted those defects and has an excellent agreement with numerical sol...

The electric power quality has become a serious concern for utilities and end users owing to its undesirable effects on system capabilities performance. Harmonic levels systems have been pronounced greater extent with the continuous growth in application of solid-state reactive compensatory devices. Harmonics are key constituents that mainly responsible deterioration. Power harmonics need be co...

An efficient and computationally linear algorithm is derived for total least squares solution of adaptive filtering problem, when both input and output signals are contaminated by noise. The proposed total least mean squares (TLMS) algorithm is designed by recursively computing an optimal solution of adaptive TLS problem by minimizing instantaneous value of weighted cost function. Convergence a...