Introduction to Probability, Statistics & R Foundations for Data-Based Sciences /

A strong grasp of elementary statistics and probability, along with basic skills in using R, is essential for various scientific disciplines reliant on data analysis. This book serves as a gateway to learning statistical methods from scratch, assuming a solid background in high school mathematics. R...

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Autore principale: Sahu, Sujit K. (Autore)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: Cham : Springer International Publishing : Imprint: Springer, 2024.
Edizione:1st ed. 2024.
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Accesso online:https://doi.org/10.1007/978-3-031-37865-2
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Sommario:
  • Part I Introduction to basic Statistics and R
  • 1 Introduction to basic statistics
  • 2 Getting started with R
  • Part II Introduction to Probability
  • 3 Introduction to probability
  • 4 Conditional probability and independence
  • 5 Random variables and their probability distributions
  • 6 Standard discrete distributions
  • 7 Standard continuous distributions
  • 8 Joint distributions and the CLT
  • Part III Introduction to Statistical Inference
  • 9 Introduction to statistical inference
  • 10 Methods of point estimation
  • 11 Interval estimation
  • 12 Hypothesis testing
  • Part IV Advanced Distribution Theory and Probability
  • 13 Generating functions
  • 14 Transformation and transformed distributions
  • 15 Multivariate distributions
  • 16 Convergence of estimators
  • Part V Introduction to statistical modelling
  • 17 Simple linear regression model
  • 18 Multiple linear regression model
  • 19 Analysis of variance
  • Appendix: Table of common distributions.