Learn Probability and Statistics for Data Science From Scratch

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By this book you will cover this topic:

Fundamentals of Probability 

  • Theoretical Approaches
  • A More Intuitive Approach
  • Our Definitions
  • Bus Ridership Model
  • Aloha Network
  • Aloha Network Model Summary
  • Aloha Network Computations
  • Aloha in the Notebook Context
  • A Simple Board Game


  • Discrete Random Variables
  • Random Variables
  • Discrete Random Variables
  • The Monty Hall Problem
  • Expected Value
  • Misnomer
  • Bus Ridership
  • Predicting Product Demand
  • Expected Values via Simulation

The Gamma Family of Distributions 
Density and properties
Network Buffer
Importance in modeling
The Beta Family of Distributions

  • Density etc
  • Importance in Modeling

Mathematical Complements 

  • Hazard Functions
  • Duality of the Exponential Family with the Poisson
  • Family

Computational Complements

  •  R’s integrate() Function
  • Inverse Method for Sampling from a Density
  • Sampling from a Poisson Distribution

Cumulative Distribution Functions 

  • CDFs
  • Non-Discrete, Non-Continuous Distributions

Density Functions

  • Properties of Densities
  • Intuitive Meaning of Densities
  • Expected Values
  • A First Example

 Famous Parametric Families of Continuous Distributions

  • The Uniform Distributions
  • Density and Properties
  • R Functions
  • Modeling of Disk Performance
  • Modeling of Denial-of-Service

The Normal Family of Continuous Distributions

  • Importance in Modeling
  • The Exponential Family of Distributions
    Density and Properties
  • R Functions
  • Garage Parking Fees
  • Memoryless Property of Exponential Distributions
  • Importance in Modeling

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