A 2 XB 2 = C 2 , there are some valuable efforts on solving a pair of the matrix equations with certain linear constraints on solution. For instance, Khatri and Mitra [7] derived the Hermitian solution of the consistent matrix equations AX = C, XB = D. Deng et al. [8] studied the consistent conditions and the general expressions about the Hermitian solutions of the matrix equations (AX,XB) = (C...

Growth curve models are used to analyze repeated measures data (longitudinal data), which are functions of time. General expressions of weighted least-squares estimators (WLSEs) of parameter matrices were given under a general growth curve model. Some algebraic and statistical properties of the estimators are also derived through the matrix rank method. AMS subject classifications. 62F11, 62H12...

This paper proposes an interval method to explore the relationship between the exchange rate of Australian dollar against US dollar and the gold price, using weekly, monthly and quarterly data. With the interval method, interval sample data are formed to present the volatility of variables. The ILS approach is extended to multi-model estimation and the computational schemes are provided. The em...

This extended abstract presents a new image data fusion method that aims to combine images with different spatial and spectral resolutions. It is based on a projection onto the subspace of the set of solutions of an underdetermined least squares problem. The data fusion problem may also involve an interpolation process, when images with different spatial resolutions are used. In our case, this ...

We motivate and introduce a new method of abduction, Matrix Abduction, and apply it to modelling the use of non-deductive inferences in the Talmud such as Analogy and the rule of Argumentum A Fortiori. Given a matrix A with entries in {0, 1}, we allow for one or more blank squares in the matrix, say ai,j =?. The method allows us to decide whether to declare ai,j = 0 or ai,j = 1 or ai,j =? undec...

The conditional least-squares estimators of the variances are studied for a critical branching process with immigration that allows the offspring distributions to have infinite fourth moments. We derive different forms of limiting distributions for these estimators when the offspring distributions have regularly varying tails with index α. In particular, in the case in which 2 < α < 3 , the nor...

A convenient, simple and green process for the synthesis of 2,4,5-triaryl-1H-imidazole and 1,2,4,5-tetraaryl-1H-imidazole derivatives using snail shell, which is abundant in Morocco, as a catalyst in ethanol at 40 °C has been developed. Additionally, short reaction times, excellent yields, simple procedure and relative non-toxicity of the catalyst are other noteworthy advantages and make this m...

A convenient, simple and green process for the synthesis of 2,4,5-triaryl-1H-imidazole and 1,2,4,5-tetraaryl-1H-imidazole derivatives using snail shell, which is abundant in Morocco, as a catalyst in ethanol at 40 °C has been developed. Additionally, short reaction times, excellent yields, simple procedure and relative non-toxicity of the catalyst are other noteworthy advantages and make this m...

drought stress is one of the most important problems of agriculture and an important factor of plant product reduction. application of absorbent materials can help usage of sporadic rain fall and cause more maintenance of water storage. in order to study the effect of super absorbent polymer, potassium sulfate and manure under drought condition and favorable irrigation on some traits of foxtail...