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

Part II delves into probability concepts, including rules and conditional probability, and introduces widely used discrete and continuous probability distributions (e.g., binomial, Poisson, normal, log-normal). It concludes with the central limit theorem and joint distributions for multiple random v...

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Bibliographic Details
Main Author: Sahu, Sujit K.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2024, 2024
Edition:1st ed. 2024
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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