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Related lectures (23)
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Carpan Collector Problem
Explores the Carpan collector problem, analyzing expected completion times and waiting times for collecting different objects uniformly at random.
Property Testing: Uniform Distribution
Covers property testing for uniform distributions and the importance of reliable predictions.
Estimating R: Uniform, Hypergeometric, Poisson
Covers the estimation of R through balanced dice, uniform, hypergeometric, and Poisson distributions.
Stochastic Models for Communications
Covers stochastic models for communications, focusing on random variables, Markov chains, Poisson processes, and probability calculations.
Multiperiod Binomial Pricing
Covers the concept of multiperiod binomial pricing and the Black-Scholes formula.
Coupon Collector Problem: Part 1
Explores the coupon collector problem, analyzing the minimum number of balls needed for each bin to contain at least one ball.
Statistical Models: Basics & Applications
Covers statistical concepts like probability, estimation, hypothesis testing, and confidence intervals for mathematicians.
Quantiles and Distributions
Explores quantiles in distribution functions and calculating expectations and variances.
Elements of Statistics
Introduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.
Continuous Distributions: Testing and Estimation
Explores testing and estimating continuous distributions through interval partitioning and expected number calculations.
Untitled
Continuous Random Variables: Distributions and Expectation
Explores various continuous probability distributions and expectation of random variables.
Basics of Risk Analysis and Management
Introduces the basics of risk analysis and management in civil engineering, covering distributions, statistical reminders, and mathematical interpretation techniques.
Probability Distributions: Basics and Properties
Covers the basics of probability distributions, including mean, variance, and properties of random variables.
Probability Theory: Central Limit Theorem
Explores probability theory, distribution of averages, and the central limit theorem.
Discrete Random Variables: Functions and Distributions
Introduces probability mass functions for discrete random variables and various distributions, emphasizing the calculation of expectations.
Continuous Random Variables: Distributions and Examples
Explores continuous random variables, density functions, and distribution laws with practical examples.
Common Distributions: Moment Generating Functions
Explores common probability distributions, special distributions, and entropy concepts.
Families of Distributions: PDFs and CDFs
Explores PDFs and CDFs for discrete and continuous random variables, including Gaussian, uniform, and exponential distributions.
Nonuniform Random Number Distributions: Examples and Methods
Explores nonuniform random number distributions, examples, methods, and generation techniques.
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