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Dutilleul Pierre 한국통계학회 2021 Journal of the Korean Statistical Society Vol.50 No.2
In this note, the author discusses the problem of maximum likelihood (ML) estimation for the Kronecker product of two positive definite variance–covariance matrices, with focus on necessary and sufficient conditions of existence and uniqueness for the ML estimator. Recent and earlier references, from the author and others, are scrutinized. The discussion includes computational aspects, as an estimation algorithm is used in the absence of analytical solutions. A timely update is provided as a result.
Dutilleul, Marion Collart,Seisenbaeva, Gulaim A.,Kessler, Vadim G. Techno-Press 2014 Advances in nano research Vol.2 No.2
Solvothermal treatment of late transition metal acetylacetonates in a novel medium composed either of pure acetophenone or acetophenone mixtures with amino alcohols offers a general approach to uniform hydrophilic metal nanoparticles with high crystallinity and low degree of aggregation. Both pure metal and mixed-metal particles can be accesses by this approach. The produced materials have been characterized by SEM-EDS, TEM, FTIR in the solid state and by Nanoparticle Tracking Analysis in solutions. The chemical mechanisms of the reactions producing nanoparticles has been followed by NMR. Carrying out the process in pure acetophenone produces palladium metal, copper metal with minor impurity of $Cu_2O$, and NiO. The synthesis starting from the mixtures of Pd and Ni acetylacetonates with up to 20 mol% of Pd, renders in minor yield the palladium-based metal alloy along with nickel oxide as the major phase. Even the synthesis starting from a mixed solution of $Cu(acac)_2$ and $Ni(acac)_2$ produces oxides as major products. The situation is improved when aminoalcohols such as 2-aminoethanol or 2-dimethylamino propanol are added to the synthesis medium. The particles in this case contain metallic elements and pairs of individual metals (not metal alloys) when produced from mixed precursor solutions in this case.