Examples in Parametric Inference with R

Authors: Dixit, Ulhas Jayram

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  • Exclusively focuses on statistical inference
  • Presents sophisticated mathematical proofs in a simple and easy-to-follow language
  • Discusses fundamental topics common to many fields of statistical inference, and which offer a point of departure for in-depth study
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eBook 67,82 €
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  • ISBN 978-981-10-0889-4
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Hardcover 83,19 €
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  • ISBN 978-981-10-0888-7
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  • Usually dispatched within 3 to 5 business days.
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Softcover 83,19 €
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  • ISBN 978-981-10-9276-3
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This book discusses examples in parametric inference with R. Combining basic theory with modern approaches, it presents the latest developments and trends in statistical inference for students who do not have an advanced mathematical and statistical background. The topics discussed in the book are fundamental and common to many fields of statistical inference and thus serve as a point of departure for in-depth study. The book is divided into eight chapters: Chapter 1 provides an overview of topics on sufficiency and completeness, while Chapter 2 briefly discusses unbiased estimation. Chapter 3 focuses on the study of moments and maximum likelihood estimators, and Chapter 4 presents bounds for the variance. In Chapter 5, topics on consistent estimator are discussed. Chapter 6 discusses Bayes, while Chapter 7 studies some more powerful tests. Lastly, Chapter 8 examines unbiased and other tests.

Senior undergraduate and graduate students in statistics and mathematics, and those who have taken an introductory course in probability, will greatly benefit from this book. Students are expected to know matrix algebra, calculus, probability and distribution theory before beginning this course. Presenting a wealth of relevant solved and unsolved problems, the book offers an excellent tool for teachers and instructors who can assign homework problems from the exercises, and students will find the solved examples hugely beneficial in solving the exercise problems.

About the authors

Ulhas Jayram Dixit is Professor, at the Department of Statistics, University of Mumbai, India. He is the first Rothamsted International Fellow at Rothamsted Experimental Station in the UK, which is the world’s oldest statistics department. Further, he received the Sesqui Centennial Excellence Award in research and teaching from the University of Mumbai in 2008. He is member of the New Zealand Statistical Association, the Indian Society for Probability and Statistics, Bombay Mathematical Colloquium, and the Indian Association for Productivity, Quality and Reliability. Editor of Statistical Inference and Design of Experiment (published by Narosa), Prof. Dixit has published over 40 papers in several international journals of repute. His topics of interest are outliers, measure theory, distribution theory, estimation, elements of stochastic process, non-parametric inference, stochastic process, linear models, queuing and information theory, multivariate analysis, financial mathematics, statistical methods, design of experiments, and testing of hypothesis. He received his Ph.D. degree from the University of Mumbai in 1989.

Reviews

“The author has created a unique text about classical mathematical statistics which is distinguished by its example-based explanations of concepts and comparatively simple proofs of key results. … this is a unique contribution, with a nice collection of worked examples that should be helpful to students seeking to bridge the gap between example-sparse theoretical texts and mathematically inadequate applied texts.” (Todd Alan Kuffner, Mathematical Reviews, August, 2017)


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Table of contents (8 chapters)

  • Sufficiency and Completeness

    Dixit, Ulhas Jayram

    Pages 1-38

    Preview Buy Chapter 30,19 €
  • Unbiased Estimation

    Dixit, Ulhas Jayram

    Pages 39-107

    Preview Buy Chapter 30,19 €
  • Moment and Maximum Likelihood Estimators

    Dixit, Ulhas Jayram

    Pages 109-151

    Preview Buy Chapter 30,19 €
  • Bound for the Variance

    Dixit, Ulhas Jayram

    Pages 153-195

    Preview Buy Chapter 30,19 €
  • Consistent Estimator

    Dixit, Ulhas Jayram

    Pages 197-226

    Preview Buy Chapter 30,19 €

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-981-10-0889-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-981-10-0888-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-981-10-9276-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Examples in Parametric Inference with R
Authors
Copyright
2016
Publisher
Springer Singapore
Copyright Holder
Springer Science+Business Media Singapore
eBook ISBN
978-981-10-0889-4
DOI
10.1007/978-981-10-0889-4
Hardcover ISBN
978-981-10-0888-7
Softcover ISBN
978-981-10-9276-3
Edition Number
1
Number of Pages
LVIII, 423
Number of Illustrations
26 b/w illustrations
Topics