The length of the future horizon is one of the principal “user choices” in subspace identification. It is well known that for the CCA algorithm the asymptotic variance decreases as the future horizon increases when input signals are white (or absent). There are also examples, when the input is not white, in which the asymptotic variance is minimized when the future horizon is equal to the syste...

The age and growth of the Persian Sturgeon, Acipenser persicus, obtained from the Iranian coastal waters of the Caspian Sea, were studied through analysis of the pectoral fin ray section from 180 specimens, ranging in fork length (FL) from 66 to 203 cm. The specimens were obtained from commercial fisheries between October 2008 and June 2010. Interpretation of growth bands in the pectoral fin r...

A study of the biology of Indian mackerel, Rastrelliger kanagurta (Cuvier, 1817) in the Western Waters of Aceh, Indonesia was carried out from January to December 2014 and a total of 1343 Indian mackerels were collected randomly twice a month. The allometric coefficients (b) in the present study were between 2.625 and 3.449 with coefficient of determination (R2) values that range between 0.612 ...

The asymptotic density of random permutations with given properties of the kth shortest cycle length is examined. The approach is based upon the saddle point method applied for appropriate sums of independent random variables.

This paper presents a mathematical approach to properly account for uncertainty in wind resource assessment and wind energy production estimation. The evaluation of a wind resource and the subsequent estimation of the annual energy production (AEP) is a highly uncertain process. Uncertainty arises at all points in the process, from measuring the wind speed to the uncertainty in a power curve. A...

in this paper, we present a fractional mathematical model of a one-dimensional phase phase change problem (stefan problem) with latent heat a power function of position. this model includes space-time fractional derivatives in caputo sense and time dependent surface heat flux. an approximate solution of this model is obtained by optimal homotopy asymptotic method (oham) to find an approximate s...

in this paper we apply the homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of sturm-liouville type on $[0,pi]$ with neumann conditions $(y'(0)=y'(pi)=0)$ where $q$ is a real-valued sign-indefinite number of $c^{1}[0,pi]$ and $lambda$ is a real parameter.

the asymptotic behaviour of the sequence with general term $p_n=(varphi(1)+varphi(2)+cdots+varphi(n))/(1+2+cdots+n)$, is studied which appears in the studying of coprime integers, and an explicit bound for the difference $p_n-6/pi^2$ is found.

This paper investigates the problem of variable-length source coding with criteria normalized cumulant generating function codeword lengths and excess distortion probability. We analyze non-asymptotic fundamental limit under constraint that probability is allowed up to ϵ ∈ [0, 1). Our achievability converse bounds are characterized by quantity related Rényi entropy.