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    Asymptotic properties of maximum likelihood estimators in models with multiple change points

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    Models with multiple change points are used in many fields; however, the theoretical properties of maximum likelihood estimators of such models have received relatively little attention. The goal of this paper is to establish the asymptotic properties of maximum likelihood estimators of the parameters of a multiple change-point model for a general class of models in which the form of the distribution can change from segment to segment and in which, possibly, there are parameters that are common to all segments. Consistency of the maximum likelihood estimators of the change points is established and the rate of convergence is determined; the asymptotic distribution of the maximum likelihood estimators of the parameters of the within-segment distributions is also derived. Since the approach used in single change-point models is not easily extended to multiple change-point models, these results require the introduction of those tools for analyzing the likelihood function in a multiple change-point model.Comment: Published in at http://dx.doi.org/10.3150/09-BEJ232 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm

    Высшее образование в Китае и России: сходство и отличие

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    В статье дана сравнительная характеристика высшего образования в странах Китай и Россия.The article gives a comparative description of higher education in China and Russia

    Computational Study of the Electronic Structure of Various Cobalt (Hydroxy) Oxides in Electrolysis Reactions

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    In their electrolysis reaction to produce H 2 fuel, the Solar Thermal Decoupled Electrolysis group at Valparaiso University observed increased reaction rate as time goes on and proposed that the deposited products on the Ni anode might be conductive and acting as a new electrode surface. It is of great interest to gain a better understanding of the underlying mechanism. In this study, the structure and stability of various cobalt (hydroxy)oxide species on a Ni (111) surface were determined from first-principles calculations to see if the observations made by the Solar Thermal Decoupled Electrolysis group are consistent with theoretical results and what could be responsible for the extended conductive electrode. From the known bulk crystal structures of various cobalt (hydroxy)oxide species, mono-layers of each of these materials were constructed. These monolayers were then placed on a Ni (111) metal support and optimal configurations of the combined systems were determined. The electronic structure of the cobalt (hydroxy) oxide monolayers and bulks will be reported
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