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Ibragimov
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Fidailʹ Ibragimov
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Mirza Ibragimov
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Statistical Estimation
when certain parameters in the problem tend to limiting values (for example, when the sample size increases indefinitely, the intensity of the noise ap proaches zero, etc.) To address the problem of asymptotically optimal estimators consider the following important case. Let X 1, X 2, ... , X n be independent observations with the joint probability density !(x,O) (with respect to the Lebesgue measure on the real line) which depends on the unknown patameter o e 9 c R1. It is required to derive the best (asymptotically) estimator 0:( X b ... , X n) of the parameter O. The first question which arises in connection with this problem is how to compare different estimators or, equivalently, how to...
Transformation Groups Applied to Mathematical Physics
Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R.van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are ...
Modern Organoaluminum Reagents
Janusz Lewiński and Andrew E. H. Wheatley: Simple trivalent organoaluminum species: perspectives on structure, bonding and reactivity.- Stephan Schulz: Organoaluminum complexes with bonds to s-block, p-block, d-block, and f-block metal centers.- Samuel Dagorne and Christophe Fliedel: Low valent organoaluminium (+I, +II) species.- Rudolf Wehmschulte: Organoaluminum species in homogeneous polymerization catalysis.- Paul Knochel, Tobias Blümke, Klaus Groll and Yi-Hung Chen: Preparation of Organoalanes for Organic Synthesis.- Yuki Naganawa and Keiji Maruoka: Reactions Triggered by Lewis Acidic Organoaluminum Species.- Usein M. Dzhemilev and Vladimir A. D'yakonov: Hydro-, Carbo- and Cycloalumination of Unsaturated Compounds.- Andreas Kolb and Paultheo von Zezschwitz: Organoaluminum Couplings to Carbonyls, Imines and Halides.- Oscar Pàmies and Montserrat Diéguez: Conjugate Addition of Organoaluminum Species to Michael Acceptors and Related Processes.
Transformation Groups And Lie Algebras
This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.
