Probability And Statistics For Data Science in Leeds

Probability and Statistics for Data Science​ Training Course Outline

Day 1: Probability and Random Variables

Module 1: Basic Probability Theory

• Probability Spaces
• Conditional Probability
• Independence

Module 2: Random Variables

• Random Variables Intro
• Discrete Random Variables
• Continuous Random Variables
• Conditioning on Events
• Functions of Random Variables
• Generating Random Variables

Module 3: Multivariate Random Variables

• Introduction
• Discrete & Continuous Multivariate Variables
• Joint Distributions
• Independence
• Functions of Several Variables
• Generating Multivariate Variables & Rejection Sampling

Module 4: Expectation

• Expectation Operator, Mean and Variance
• Covariance, Conditional Expectation

Module 5: Random Processes

• Intro, Mean, and Autocovariance Functions
• IID
• Gaussian Process
• Poisson Process
• Random Walk

Day 2: Statistics and Applications (8 hours total)

Module 6: Convergence of Random Processes

• Types of Convergence
• Law of Large Numbers
• Central Limit Theorem
• Monte Carlo Simulation

Module 7: Markov Chains

• Markov Property and Basic Concepts
• Recurrence
• Periodicity
• Convergence
• Introduction to Markov-Chain Monte Carlo (MCMC)

Module 8: Descriptive Statistics

• What are Descriptive Statistics?
• Examples and Types of Descriptive Statistics

Module 9: Frequentist Statistics

• Mean Square Error
• Consistency
• Confidence Intervals
• Parametric vs Nonparametric Model Estimation
• Maximum Likelihood Estimation (MLE)

Module 10: Bayesian Statistics

• Bayesian Parametric Models
• Conjugate Priors
• Bayesian Estimators

Module 11: Hypothesis Testing

• Hypothesis-Testing Framework
• Parametric Testing
• Nonparametric Testing: The Permutation Test
• Multiple Testing Correction

Module 12: Linear Regression

• Introduction to Linear Regression
• Linear Models & Applications
• Least-Squares Estimation

Who Should Attend this Probability and Statistics for Data Science Training?

This Probability and Statistics for Data Science Course is designed to provide foundational and practical knowledge in Probability and Statistics, which are crucial for Data Science, Machine Learning, and Data Analysis. The following are some professionals who will benefit from attending this course:

• Data Scientists
• Machine Learning Engineers
• Data Analysts
• Business Analysts
• Product Managers
• Quantitative Analysts
• Statisticians

Prerequisites of the Probability and Statistics for Data Science Training

There are no formal prerequisites for this course.

Probability and Statistics for Data Science Training Course Overview

Probability and Statistics Training introduces delegates to the core concepts that underpin data-driven decision-making. It explains how uncertainty, variability, and data patterns are measured and interpreted, forming the foundation for meaningful analysis in Data Science.

This training supports professionals working with data in building analytical confidence. It develops the ability to quantify uncertainty, recognise trends, and draw accurate conclusions, enabling informed decisions across analytical and business-focused roles.

This 2-Day course offered by The Knowledge Academy enables delegates to apply probability and statistics with confidence. Through focused learning, delegates gain the skills to work with distributions, hypothesis testing, and regression, supporting practical, evidence-based decisions.

Probability and Statistics for Data Science Training Course Objectives

• To represent and analyse uncertain phenomena using a framework
• To quantify the outcome of the experiment as belonging to a specific event
• To assign probabilities to each occurrence of interest and an experiment
• To become accustomed to Markov chains and different statistical types
• To generate samples from the appropriate conditional distribution
• To evaluate the occurrence of a particular event that influences another event

Upon completion of this Data Science Training, delegates will possess a strong foundation in Probability and Statistics for Data Science. They will be equipped with the tools and techniques needed to analyse data effectively, make informed decisions, and contribute meaningfully to data-driven projects within their organisations.

What’s Included in this Probability and Statistics for Data Science Training?

• World-Class Training Sessions from Experienced Instructors
• Probability and Statistics for Data Science Certificate
• Digital Delegate Pack