rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Non-regular statistical estimation
  name:
    name part: Akahira, Masafumi
    name part: 1945-
    role:
      role term: creator
  name:
    name part: Takeuchi, Kei
    name part: 1933-
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1995
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (viii, 183 pages) : illustrations.
  abstract: In order to obtain many of the classical results in the theory of statistical estimation, it is usual to impose regularity conditions on the distributions under consideration. In small sample and large sample theories of estimation there are well established sets of regularity conditions, and it is worth while to examine what may follow if any one of these regularity conditions fail to hold. "Non-regular estimation" literally means the theory of statistical estimation when some or other of the regularity conditions fail to hold. In this monograph, the authors present a systematic study of the meaning and implications of regularity conditions, and show how the relaxation of such conditions can often lead to surprising conclusions. Their emphasis is on considering small sample results and to show how pathological examples may be considered in this broader framework.
  table of contents: Ch. 1. General discussions on unbiased estimation -- Ch. 2. Lower bound for the variance of unbiased estimators -- Ch. 3. Amounts of information and the minimum variance unbiased estimation -- Ch. 4. Loss of information associated with the order statistics and related estimators in the case of double exponential distributions -- Ch. 5. Estimation of a common parameter for pooled samples from the uniform distributions and the double exponential distributions -- Ch. 6. Higher order asymptotics in estimation for two-sided Weibull type distributions -- Ch. 7. "3/2 th" and second order asymptotics of the generalized Bayes estimators for a family of truncated distributions -- Supplement. The bound for the asymptotic distribution of estimators when the maximum order of consistency depends on the parameter.
  note: Masafumi Akahira, Kei Takeuchi.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [175]-181) and index.
  subject:
    topic: Mathematical statistics
  subject:
    topic: Estimation theory
  subject:
    topic: Statistique mathematique
  subject:
    topic: Estimation, Théorie de l'
  subject:
    topic: Schattingstheorie
  subject:
    topic: Statistiek
  subject:
    topic: Statistique mathématique
  subject:
    topic: Estimation, Théorie de l'
  subject:
    topic: Schätztheorie
  subject:
    topic: Estimation theory
  subject:
    topic: Mathematical statistics
  classification: QA276 .A526 1995
  classification: 519.5/44
  classification: 31.73
  related item:
    title info:
      title: Non-regular statistical estimation
    name:
      name part: Akahira, Masafumi, 1945-
    origin info:
      publisher: New York : Springer, ©1995
    identifier: (DLC) 95032055
    identifier: (OCoLC)32969355
  related item:
    title info:
      title: Lecture notes in statistics (Springer-Verlag) ; v. 107
  identifier: 9781461225546 (electronic bk.)
  identifier: 146122554X (electronic bk.)
  identifier: 0387945784 (New York : acid-free paper)
  identifier: 9780387945781 (New York : acid-free paper)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101107
    record change date: 20260422202754.7
    record identifier: in00003506800
    language of cataloging:
      language term: eng