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Related lectures (23)
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Likelihood of a spike train
MOOC: Neuronal Dynamics - Computational Neuroscience of Single Neurons
Discusses the likelihood of spike trains based on generative models and log-likelihood calculations from observed data.
Confidence Intervals: Gaussian Estimation
Explores confidence intervals, Gaussian estimation, Cramér-Rao inequality, and Maximum Likelihood Estimators.
Intro to Quantum Sensing: Parameter Estimation and Fisher Information
Introduces Fisher Information for parameter estimation based on collected data.
Fisher Information, Cramér-Rao Inequality, MLE
Explains Fisher information, Cramér-Rao inequality, and MLE properties, including invariance and asymptotics.
Estimation: Linear Estimator
Explores linear estimation, optimal criteria, and the orthogonality principle for good choices in estimation.
Statistical Significance: Maximum Likelihood Estimation and Confidence Intervals
Explores type I and type II errors, critical values, and confidence intervals in statistical significance.
Maximum Likelihood, MSE, Fisher Information, Cramér-Rao Bound
Explains maximum likelihood estimation, MSE, Fisher information, and Cramér-Rao bound in statistical inference.
Sampling Distributions: Estimators and Variance
Covers estimation of parameters, MSE, Fisher information, and the Rao-Blackwell Theorem.
Estimation: Mean-Squared Error and Fisher Information
Explains estimation through mean-squared error and Fisher information in the context of adaptive filters and exponentiated distributions.
Parameter Estimation & Fisher Information
Covers parameter estimation, Fisher information, unbiased estimator, and exponential distributions.
Maximum Likelihood Estimation
Covers Maximum Likelihood Estimation in statistical inference, discussing MLE properties, examples, and uniqueness in exponential families.
Parametric Models: Regression Estimators and Optimization
Covers parametric models, regression estimators, and optimization in statistical modeling.
Estimation: Measures of Performance
Explores estimation measures of performance, including the Cramér-Rao bound and maximum likelihood estimation.
Uncertainty and Significant Figures
Explains confidence intervals, margin of error, pivots, and significant figures in statistical estimation.
Parameter Estimation: Detection & Estimation
Covers the concepts of parameter estimation, including unbiased estimators and Fisher information.
Generalised Linear Models: Regression with Exponential Family Responses
Covers regression with exponential family responses using Generalised Linear Models.
Logistic Regression: Maximum Likelihood Estimation
Covers logistic regression and maximum likelihood estimation in depth.
Likelihood Ratio Test: Hypothesis Testing
Covers the Likelihood Ratio Test and hypothesis testing methods using Maximum Likelihood Estimators.
Statistical Theory: Cramér-Rao Bound & Hypothesis Testing
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Explores the Cramér-Rao bound, hypothesis testing, and optimality in statistical theory.
Maximum Likelihood Estimation: Theory
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Covers the theory behind Maximum Likelihood Estimation, discussing properties and applications in binary choice and ordered multiresponse models.
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