
By Arnold Janssen
This e-book is meant to offer an account of the speculation of infi nitely divisible statistical experiments which begun from LeCam, 1974. It incorporates a presentation of LeCam's uncomplicated effects in addition to new advancements within the box. The publication involves 4 chapters written by way of various authors. Chapters I, III and IV were ready in Bayreuth with the help of the Deutsche Forschungsgemeinschaft (DFG); bankruptcy II is a part of its author's Habilitationsschrift, 1982 (Dortmund). For the reader's comfort, the chapters were unified in presentation, with no neglecting alterations within the person forms of writing. The authors are thankful to Dr. C. Becker for conscientiously reviewing the manuscript. moreover, acknowledgements are gratefully prolonged to the DFG for partially subsidizing Dr. Becker and the second one writer via a furnish. a few precise phrases of thank you are as a result of Mrs. Witzigmann, who typed the ultimate manuscript and its predecessors with persistence and talent. Universitat Bayreuth und A. Janssen Universitat Dortmund, H. Milbrodt Dezember 1984 H. Strasser CONTENTS Preface creation L its of Triangular Arrays of 14 I. EXEeriments (H. Milbrodt and H. Strasser) 1. simple techniques 14 19 2. Gaussian Exper ents three. creation to Poisson Experiments 25 four. Convergence of Poisson Experiments 32 five. Convergence of Triangular Arrays 38 6. identity of restrict Experiments forty seven The Levy-Khintchine formulation for Infinitely fifty five II.
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