Tag: Bayesian Inference
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Why do we need Bayesian statistics? Part III – Learning multivariate distributions (tutorial)
Lighthouse2.md Why do we need Bayesian statistics? Part III – Learning multivariate distributions (tutorial) Introduction The likelihood Prior Posterior Inference Marginal posterior distribution Conclusion Introduction In the previous entry of this tutorial series, we studied the lighthouse problem. The goal was to infer (or learn) the position of the lighthouse from observations of where the…
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Why do we need Bayesian statistics? Part II — The lighthouse problem (tutorial)
Lighthouse.md Why do we need Bayesian statistics? Part II – The lighthouse problem (tutorial) Introduction Generating (synthetic) data Mean and standard deviation Bayesian Cauchy distribution Likelihood Prior Posterior Credible intervals Conclusion Introduction The lighthouse problem serves as a deceptively simple but captivating challenge in the field of statistics. As we shall explore, it subverts our…
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Why do we need Bayesian statistics? Part I – Asserting if a coin is biased (tutorial)
Coins.md Why do we need Bayesian statistics Part I – Asserting if a coin is biased (tutorial) Introduction A short primer on Bayesian statistics Example – The (allegedly) biased coin The synthetic experiment Learning the heads probability through Bayes Credible intervals Mean and standard deviation Conclusion Introduction It is undeniable that there has been an…