Algebra statistical is one of the recent topics that has seen rapid development, it is considering as the consequence of the convergence of ideas between statistics and algebra. Moreover, Algebraic statistic has many applications in many different fields, one of these important field is agriculture. In this paper, we analyse a 3x2 contingency table which contains agriculture teaching experience and perception of secondary school agriculture. The method of algebraic statistic they will be used for a mainly Markov Basis of independent model and the computation of Entropy for variance alternative contingency tables based on Tsallis Entropy. In addition, the usefulness of this paper is to illustrate agriculture data. Finally, we will find Toric ideal to generate the elements of Markov Basis.
Two-dimensional numerical solutions are carried out to asses the quality of obstructing apertures in terms of the diffraction limited resolution. This include the quality of the point spread function (psf), the modulation transfer function (MTF), and an image of double lines. These are average intensity of the psf (AI), maximum intensity of the psf,(MI), full width at half maximum of the psf (FW) average frequency components of MTF (AFC), and average side loops of an image of a double lines. The results indicate that the separation of the two lines becomes recognizable using central obstruction of radius equal to or greater than approximately 0.6 times the radius of the primary aperture.
This article is a study of a non-parametric estimation of the hazard rate function using the linear wavelet estimation for right randomly censoring data. The strategy of the estimation is based on the use of the wavelet projection of the father function{φ
j,k
(x),j = 1,2,…, 0 ≤ k ≤2
j−1} on the subspace (Vj
) of the spaceL
2(R), with the Breslow estimate of the cumulative function. Real data of patients suffering from liver metastases is using as an application. Moreover, a simulation study is used to give more clarify to the method of estimation.
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