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Compound Poisson distribution
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Related lectures (31)
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Statistics of Multivariate Extremes: Inference and Models
Explores theory and applications of multivariate extremes, emphasizing fitting marginal and dependence models together for accurate estimation.
Poisson Processes and Angular Density
Explores Poisson processes, Pickands' function, and multivariate angular densities.
Bayes' Theorem: Defective Parts Detection
Explores Bayes' Theorem for defective parts detection, discrete random variables, and distribution functions, with practical examples and exercises.
Estimating R: Marking and Convergence
Covers the estimation of R in Poisson processes, focusing on marking points and convergence.
Statistical Models: Basics & Applications
Covers statistical concepts like probability, estimation, hypothesis testing, and confidence intervals for mathematicians.
Probability Distributions: Moments and Quantiles
Explains moments, expectation, variance, and quantiles in probability distributions with examples like Poisson and exponential distributions.
Arrival and Departure Processes
Covers arrival and departure processes, Poisson distributions, service times, and system performance evaluation.
Exponential Family: Definition and Properties
Covers the Exponential Family, including its definition, sufficient statistics, and distribution properties.
Linear Algebra in Data Science
Explores the application of linear algebra in data science, covering variance reduction, model distribution theory, and maximum likelihood estimates.
Functions Generators
Covers moment and cumulant generating functions for random variables, enabling calculation of moments and cumulants.
Estimating Extremal Processes
Explores extremal limit theorems, statistical analysis, and applications of extremal processes in various fields, focusing on modeling extreme events and fitting suitable models.
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