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The Bayesian Toolbox:
Marginalization and Coordinate Transformation
Appendix C
This appendix demonstrates the computations needed to implement two of the foundational techniques of Bayesian analysis: marginalization and coordinate transformation. In particular, marginalization problems require students to find approximate solutions to integral equations. This appendix shows that it is possible to solve these equations with only basic addition and multiplication. Upon completion, students will be able to read, interpret, and solve basic integrals without any calculus background.
Programming Asides:
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sequences of areas [p536]
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uniform probability mass [p538]
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exponential probability mass [p539]
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linear transforms (temperature scales) [p547]
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inverse transform [p549]
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using the built-in convolution and cross-correlation functions [p556]
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transforming a truncated gaussian with regular and irregular spacing [p564]
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approximate dartboard marginalizations [p569]
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approximate sum and difference marginalizations [p573]
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