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    <title>Probabilistic-Programming on Pi Stack</title>
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      <title>Self-Hosted Probabilistic Programming: PyMC vs Stan vs Pyro — Bayesian Inference Engines Compared</title>
      <link>https://www.pistack.xyz/posts/2026-06-14-self-hosted-bayesian-inference-pymc-stan-pyro/</link>
      <pubDate>Sun, 14 Jun 2026 00:00:00 +0000</pubDate>
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      <description>&lt;p&gt;Bayesian inference provides a principled framework for reasoning under uncertainty. Unlike traditional frequentist statistics that produce point estimates and p-values, Bayesian methods yield full probability distributions over parameters, naturally quantifying uncertainty in model predictions. Three open-source probabilistic programming frameworks — PyMC, Stan, and Pyro — have emerged as the leading tools for building and fitting Bayesian models. In this guide, we compare them for self-hosted deployment.&lt;/p&gt;</description>
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