This book contains the lecture notes for a DMV course presented by the authors at Gunzburg, Germany, in September, 1990. In the course we sketched the theory of information bounds for non parametric and semiparametric models, and developed the theory of non parametric maximum likelihood estimation in several particular inverse problems: interval censoring and deconvolution models. Part I, based on Jon Wellner's lectures, gives a brief sketch of information lower bound theory: Hajek's convolution theorem and extensions, useful minimax bounds for parametric problems due to Ibragimov and Has'minskii, and a recent result characterizing differentiable functionals due to van der Vaart (1991). The differentiability theorem is illustrated with the examples of interval censoring and deconvolution (which are pursued from the estimation perspective in part II). The differentiability theorem gives a way of clearly distinguishing situations in which 1 2 the parameter of interest can be estimated at rate n / and situations in which this is not the case. However it says nothing about which rates to expect when the functional is not differentiable. Even the casual reader will notice that several models are introduced, but not pursued in any detail; many problems remain. Part II, based on Piet Groeneboom's lectures, focuses on non parametric maximum likelihood estimates (NPMLE's) for certain inverse problems. The first chapter deals with the interval censoring problem.

"About this title" may belong to another edition of this title.

Store Description

Visit Seller's Storefront

Association Member

Members of these associations are committed to maintaining the highest standards. They vouch for the authenticity of all items offered for sale. They provide expert and detailed descriptions, disclose all significant defects and/or restorations, provide clear and accurate pricing, and operate with fairness and honesty during the purchase experience.

Seller's business information

Antiquariat Renner OHG
Hechinger Strasse 23, Albstadt, 72461, Germany

Sale & Shipping Terms

Terms of Sale

Antiquariat Renner oHG. Hechinger Stra�e 23. D-72461 ALBSTADT. buch@antiquar-renner.com.
0049-7432-5114. Ansprechpartner: Jens Eichwald und Joerg Fekete.
Umsatzsteuer-Identifikationsnummer (UID) DE-812853626.
Freibleibendes Angebot ohne Lieferzwang.

Shipping Terms

Die Versandkostenpauschalen basieren auf Sendungen mit einem durchschnittlichen Gewicht. Falls das von Ihnen bestellte Buch besonders schwer oder sperrig sein sollte, werden wir Sie informieren, falls zus�tzliche Versandkosten anfallen.

Shipping rates from Germany to U.S.A.

Shipping rates from Germany to U.S.A.
Order quantity	14 to 20 business days	10 to 14 business days
First item	US$ 52.31	US$ 52.31

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.