A flexible distribution family for testing MCMC implementations

Papp, Tamás K. (August 2025) A flexible distribution family for testing MCMC implementations. IHS Working Paper Series 60, 10 p.

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Abstract

We propose a flexible, extensible family of distributions for testing Markov Chain Monte Carlo implementations. Distributions are created by nesting simple transformations, which allow various shapes, including multiple modes and fat tails. The resulting distributions can be sampled with high
precision using quasi-random sequences, and have closed form (log) density and gradient at each point, making it possible to test gradient-based samplers without automatic differentiation.

Item Type: IHS Series
Research Units: Business Cycles, Growth and Public Finances
Date Deposited: 04 Aug 2025 07:00
Last Modified: 06 Aug 2025 07:56
URI: https://irihs.ihs.ac.at/id/eprint/7280

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