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CoFM (version 1.1.4)

Copula Factor Models

Description

Provides tools for factor analysis in high-dimensional settings under copula-based factor models. It includes functions to simulate factor-model data with copula-distributed idiosyncratic errors (e.g., Clayton, Gumbel, Frank, Student t and Gaussian copulas) and to perform diagnostic tests such as the Kaiser-Meyer-Olkin measure and Bartlett's test of sphericity. Estimation routines include principal component based factor analysis, projected principal component analysis, and principal orthogonal complement thresholding for large covariance matrix estimation. The philosophy of the package is described in Guo G. (2023) .

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Version

Install

install.packages('CoFM')

Version

1.1.4

License

MIT + file LICENSE

Maintainer

Guangbao Guo

Last Published

January 27th, 2026

Functions in CoFM (1.1.4)

PPC_new

Center-then-PCA: Projection on the Orthogonal Complement of the Mean Vector
CoFM

Generate Copula Factor Models Data and Perform Tests
FanPC_basic

Perform Basic FanPC Factor Analysis
PPC_CoFM

Perform Projected PCA (PPC) Estimation for CoFM
PPC_u

Projection-on-Complement PCA (Generalized)
air_quality

Air Quality Data Set
Copula_errors

Generate Copula-Distributed Error Terms
FanPC_CoFM

Perform Factor Analysis via Principal Component (FanPC) for CoFM
PPC_basic

Perform Basic Projected PCA (PPC) Estimation
PC_CoFM

Perform PCA-based Factor Estimation for CoFM
poet

POET: Principal Orthogonal complEment Thresholding