Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

Acceptance-rejection methods for generating random variates from matrix exponential distributions and rational arrival processes

Stochastic models based on matrix exponential structures, like matrix exponential distributions and rational arrival processes, have gained popularity in analytical models recently. However the application of these models in simulation based evaluations is not as widespread yet. One of the possible reasons is the lack of efficient random variates generation methods. In this paper we propose met...

Regions of Exclusion for the Latent Roots of a Matrix

It is the purpose of this note to point out that there may also exist bounded regions which exclude the latent roots of A. Let B: [&,-,•] be an nXn matrix with complex elements. Let (/i(l), • • ■ , n(n)) be a permutation of (1, • • • , n), and let B'\ [b'tj] be the matrix [b'v] = [&*.(,•)]. Thus£' is obtained from B by a permutation of its columns, and therefore B is nonsingular when B' is nons...

A Note on the Confidence Bounds for the Characteristic Roots of Dispersion Matrices of Normal Variates

synthesis of sulfides from alcohols and thiols in solvent-freeconditions and deoxygenation of sulfoxides

کاتالیست یک سنتز جدید برای تیواترها توصیف شده است. واکنش الکل ها با آریل، هتروآریل و آلکیل تیو ل ها درحضور 1،3،5- تری آزو- 2،4،6- تری فسفرین-2،2،4،4،6،6 هگزاکلراید ((tapc به عنوان یک کاتالیست موُثر، بازده های خوب تا عالی از تیواترها را حاصل می کند. علاوه براین، واکنش تحت شرایط بدون فلز و بدون حلال پیش می رود، بنابراین یک مکمل جالب برای روش های شناخته شده سنتز تیواترها ارائه می دهد. یک مکانیسم ا...

Rectangles Algorithm for Generating Normal Variates

We propose an algorithm for generating normal random variates that is based on the acceptance–rejection method and uses a piecewise majorizing function. The piecewise function has 2048 equal-area pieces, 2046 of which are constant, and the two extreme pieces are curves that majorize the tails. The proposed algorithm has not only good performance from correlation induction perspective, but also ...