A First Course in Statistical Inference de Jonathan Gillard

A First Course in Statistical Inference: Springer Undergraduate Mathematics Series

Jonathan Gillard

en Limba Engleză Paperback – 21 apr 2020

This book offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory.

Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data.

Based on the author’s extensive teaching experience, the material of the book has been honed by student feedback for over a decade. Assuming only some familiarity with elementary probability, this textbook has been devised for a one semester first course in statistics.

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Specificații

ISBN-13: 9783030395605
ISBN-10: 303039560X
Pagini: 164
Ilustrații: X, 164 p. 24 illus., 7 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.25 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Springer Undergraduate Mathematics Series

Locul publicării:Cham, Switzerland

Cuprins

1 Recap of Probability Fundamentals.- 2 Sampling and Sampling Distributions.- 3 Towards Estimation.- 4 Confidence Intervals.- 5 Hypothesis Testing.- 6 One-way Analysis of Variance (ANOVA).- 7 Regression: Fitting a Straight Line.- A brief introduction to R.- Solutions to Exercises.- Statistical Tables.- Index.

Notă biografică

Dr Jonathan Gillard is a Reader in Statistics at Cardiff University, Senior Fellow of the Higher Education Academy, and a member of the Statistics Interest Group of sigma: the UK network for excellence in mathematics and statistics support. He has taught statistical inference to mathematics undergraduates and postgraduates for over 10 years. Jonathan maintains a strong interest in innovative teaching methods, being an editorial board member of MSOR Connections. He is an active researcher of the theory of statistics and is currently working on a number of collaborative projects with the Office for National Statistics and National Health Service. His recent publications have included work on using regression in large dimensions, novel methods for forecasting, and new approaches for learning about the performance of machine learning algorithms.

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