Parametric Statistical Inference - Rilegato

Lindsey, J. K.

 
9780198523598: Parametric Statistical Inference

Sinossi

Inference involves drawing conclusions about some general phenomenon from limited empirical observations in the face of random variability. Two central unifying components of statistics are the likelihood function and the exponential family. These are here brought together for the first time as the central themes of a book on statistical inference. This book is appropriate as an advanced undergraduate or graduate text in mathematical statistics.

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Recensione

The author has written a nice, readable book ... at a level understandable to students. . . I strongly recommend the book for any student or researcher of "Statistical Inference" and also to all (mathematical) statisticians. (Zentrallblat fur Mathematik, vol. 855, 1997)

Contenuti

  • 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

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