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EstemPMM

Polynomial Maximization Method for Non-Gaussian Regression

v0.4.0 · May 29, 2026 · GPL-3

Description

Implements the Polynomial Maximization Method ('PMM') for parameter estimation in linear and time series models when error distributions deviate from normality. The 'PMM2' variant achieves lower variance parameter estimates compared to ordinary least squares ('OLS') when errors exhibit significant skewness. The 'PMM3' variant (S=3) targets symmetric platykurtic error distributions, reducing variance when excess kurtosis is negative. Includes automatic method selection ('pmm_dispatch'), linear regression, 'AR'/'MA'/'ARMA'/'ARIMA' models, and bootstrap inference. Methodology described in Zabolotnii, Warsza, and Tkachenko (2018) <doi:10.1007/978-3-319-77179-3_75>, Zabolotnii, Tkachenko, and Warsza (2022) <doi:10.1007/978-3-031-03502-9_37>, and Zabolotnii, Tkachenko, and Warsza (2023) <doi:10.1007/978-3-031-25844-2_21>, and Zabolotnii (2025) <doi:10.48550/arXiv.2511.07059>.

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13 OK
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r-devel-linux-x86_64-fedora-clang OK
r-devel-linux-x86_64-fedora-gcc OK
r-devel-windows-x86_64 OK
r-oldrel-macos-arm64 OK
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r-oldrel-windows-x86_64 OK
r-patched-linux-x86_64 OK
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r-release-macos-arm64 OK
r-release-macos-x86_64 OK
r-release-windows-x86_64 OK

Check History

OK 14 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE Mar 10, 2026

Version History

4 tracked
updated 0.4.0 ← 0.3.2 diff May 29, 2026
updated 0.3.2 ← 0.3.1 diff May 15, 2026
updated 0.3.1 ← 0.1.1 diff Apr 7, 2026
new 0.1.1 Mar 10, 2026

R Observatory began tracking this package on Mar 10, 2026; it first appeared on CRAN Nov 7, 2025. Releases before tracking aren’t shown.