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Parametric Statistical Inference
Buch von James K Lindsey (u. a.)
Sprache: Englisch

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Beschreibung
Inference involves drawing conclusions about some general phenomenon from limited empirical observations in the face of random variability. In a scientific context, the general must include the completely unforeseen if all possibilities are to be considered. Many of the statistical models most used to describe such phenomena belong to one of a small number of families--the exponential, transformation, and stable families. In the past 25 years, the likelihood function has been recognized as the fundamental element of approach to drawing scientific conclusions. This book brings together for the first time these two components of statistics as the central themes of statistical inference. Chapters focus on model building, approximations, and examples. There are also appendices on the elements of measure theory, probability theory, and numerical methods. The discussions are appropriate for students of mathematical statistics.
Inference involves drawing conclusions about some general phenomenon from limited empirical observations in the face of random variability. In a scientific context, the general must include the completely unforeseen if all possibilities are to be considered. Many of the statistical models most used to describe such phenomena belong to one of a small number of families--the exponential, transformation, and stable families. In the past 25 years, the likelihood function has been recognized as the fundamental element of approach to drawing scientific conclusions. This book brings together for the first time these two components of statistics as the central themes of statistical inference. Chapters focus on model building, approximations, and examples. There are also appendices on the elements of measure theory, probability theory, and numerical methods. The discussions are appropriate for students of mathematical statistics.
Inhaltsverzeichnis
  • Part 1: Model Building

  • 1: Model building

  • 2: Exponential family

  • Part 2: Inference

  • 3: Likelihood

  • 4: Goodness of it

  • Part 3: Approximations

  • 5: Asymptotics

  • 6: Factoring the likelihood function

  • Part 4: Decisions

  • 7: Frequentist decision-making

  • 8: Bayesian decision-making

  • Part 5: Examples

  • 9: Poisson regression

  • 10: Binomial regression

  • Part 6: Appendices

  • A Elements of measure theory

  • B Review of probability theory

  • C Normal distribution statistics

  • D Numerical methods

  • Bibliography

  • Index

Details
Erscheinungsjahr: 1996
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780198523598
ISBN-10: 0198523599
Sprache: Englisch
Einband: Gebunden
Autor: Lindsey, James K
Lindsey, J K
Hersteller: Oxford University Press (UK)
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 234 x 156 x 29 mm
Von/Mit: James K Lindsey (u. a.)
Erscheinungsdatum: 01.08.1996
Gewicht: 0,889 kg
Artikel-ID: 120662211
Inhaltsverzeichnis
  • Part 1: Model Building

  • 1: Model building

  • 2: Exponential family

  • Part 2: Inference

  • 3: Likelihood

  • 4: Goodness of it

  • Part 3: Approximations

  • 5: Asymptotics

  • 6: Factoring the likelihood function

  • Part 4: Decisions

  • 7: Frequentist decision-making

  • 8: Bayesian decision-making

  • Part 5: Examples

  • 9: Poisson regression

  • 10: Binomial regression

  • Part 6: Appendices

  • A Elements of measure theory

  • B Review of probability theory

  • C Normal distribution statistics

  • D Numerical methods

  • Bibliography

  • Index

Details
Erscheinungsjahr: 1996
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780198523598
ISBN-10: 0198523599
Sprache: Englisch
Einband: Gebunden
Autor: Lindsey, James K
Lindsey, J K
Hersteller: Oxford University Press (UK)
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 234 x 156 x 29 mm
Von/Mit: James K Lindsey (u. a.)
Erscheinungsdatum: 01.08.1996
Gewicht: 0,889 kg
Artikel-ID: 120662211
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