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Titlebook: Statistical Estimation; Asymptotic Theory I. A. Ibragimov,R. Z. Has’minskii Book 1981 Springer Science+Business Media New York 1981 Asympto

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Independent Identically Distributed Observations. Densities with Jumps,The estimation theory given in Chapters II and III utilizes to a large extent the regularity of the experiments under consideration. Obviously this is the most important case, however, it is not difficult to give examples of very interesting problems where the regularity condition is not fulfilled.
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Statistical Estimation978-1-4899-0027-2Series ISSN 0172-4568 Series E-ISSN 2197-439X
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Basic Notation,rems, subsections, or formulas appearing in another chapter, the number of this chapter is indicated first. When a reference to a theorem and a formula presented in Appendices I or II is given, the triple enumeration is used; for example, (1.A.12) indicates a reference to formula 12 in Appendix I.
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Introduction,over the subject completely and the choice of material is to a great extent based on the authors’ interests. In particular, only the theoretical mathematical aspect of the subject is considered, which may be viewed to some extent as a shortcoming of this book.
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Some Applications to Nonparametric Estimation,aces in situations when these are not determined by specifying a finite number of parameters. In this chapter we shall show by means of several examples how the ideas of parametric estimation presented in Chapters I–III can be applied to problems of this kind.
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