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Rossi, Richard J.

Mathematical Statistics: An Introduction to Likelihood Based Inference

Rossi, Richard J. - Mathematical Statistics: An Introduction to Likelihood Based Inference, ebook

148,80€

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ISBN: 9781118771167
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Presents a unified approach to parametric estimation, confidence intervals, hypothesis testing, and statistical modeling, which are uniquely based on the likelihood function

This book addresses mathematical statistics for upper-undergraduates and first year graduate students, tying chapters on estimation, confidence intervals, hypothesis testing, and statistical models together to present a unifying focus on the likelihood function. It also emphasizes the important ideas in statistical modeling, such as sufficiency, exponential family distributions, and large sample properties. Mathematical Statistics: An Introduction to Likelihood Based Inference makes advanced topics accessible and understandable and covers many topics in more depth than typical mathematical statistics textbooks. It includes numerous examples, case studies, a large number of exercises ranging from drill and skill to extremely difficult problems, and many of the important theorems of mathematical statistics along with their proofs.

In addition to the connected chapters mentioned above, Mathematical Statistics covers likelihood-based estimation, with emphasis on multidimensional parameter spaces and range dependent support. It also includes a chapter on confidence intervals, which contains examples of exact confidence intervals along with the standard large sample confidence intervals based on the MLE's and bootstrap confidence intervals. There’s also a chapter on parametric statistical models featuring sections on non-iid observations, linear regression, logistic regression, Poisson regression, and linear models.

  • Prepares students with the tools needed to be successful in their future work in statistics data science
  • Includes practical case studies including real-life data collected from Yellowstone National Park, the Donner party, and the Titanic voyage
  • Emphasizes the important ideas to statistical modeling, such as sufficiency, exponential family distributions, and large sample properties
  • Includes sections on Bayesian estimation and credible intervals
  • Features examples, problems, and solutions

Mathematical Statistics: An Introduction to Likelihood Based Inference is an ideal textbook for upper-undergraduate and graduate courses in probability, mathematical statistics, and/or statistical inference.

Keywords:

the likelihood function; likelihood based inference; parametric estimation; confidence intervals; hypothesis testing; statistical modeling; statistics; mathematics; probability; data collection; data interpretation; inference; statistical inference; sampling variation; statistical induction; inferential statistics; statistics text; inferential statistics text; statistical inference textbook; probability theory; mathematical statistics; statistical theory; parametric statistical models; statistics for financial mathematics; non-iid observations; linear regression; logistic regression; Poisson regression; linear models; estimation

, Applied Probability & Statistics - Models, Nonparametric Analysis, Applied Probability & Statistics - Models, Nonparametric Analysis
Author(s)
Publisher
John Wiley and Sons, Inc.
Publication year
2018
Language
en
Edition
1
Page amount
448 pages
Category
Natural Sciences
Format
Ebook
eISBN (ePUB)
9781118771167
Printed ISBN
9781118771044

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