R version 4.4.3 (2025-02-28)
Platform: aarch64-apple-darwin20
Running under: macOS 26.2

Matrix products: default
BLAS:   /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/lib/libRblas.0.dylib 
LAPACK: /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/lib/libRlapack.dylib;  LAPACK version 3.12.0

locale:
[1] C.UTF-8/C.UTF-8/C.UTF-8/C/C.UTF-8/C.UTF-8

time zone: America/Indiana/Indianapolis
tzcode source: internal

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
[1] patchwork_1.3.1 ggpattern_1.2.1 ggplot2_3.5.2  

loaded via a namespace (and not attached):
 [1] sandwich_3.1-1        generics_0.1.4        tsDyn_11.0.5.2       
 [4] lattice_0.22-6        digest_0.6.37         magrittr_2.0.3       
 [7] grid_4.4.3            RColorBrewer_1.1-3    iterators_1.0.14     
[10] fastmap_1.2.0         foreach_1.5.2         Matrix_1.7-2         
[13] nnet_7.3-20           deSolve_1.41          forecast_9.0.0       
[16] mgcv_1.9-1            tseriesChaos_0.1-13.1 scales_1.4.0         
[19] textshaping_1.0.1     codetools_0.2-20      mnormt_2.1.2         
[22] cli_3.6.5             rlang_1.1.6           gridpattern_1.3.1    
[25] splines_4.4.3         cachem_1.1.0          withr_3.0.2          
[28] tools_4.4.3           parallel_4.4.3        memoise_2.0.1        
[31] dplyr_1.1.4           colorspace_2.1-2      curl_7.0.0           
[34] png_0.1-8             vctrs_0.6.5           R6_2.6.1             
[37] strucchange_1.5-4     magick_2.9.0          zoo_1.8-14           
[40] lifecycle_1.0.4       tseries_0.10-59       MASS_7.3-64          
[43] ragg_1.4.0            pkgconfig_2.0.3       urca_1.3-4           
[46] pillar_1.10.2         gtable_0.3.6          glue_1.8.0           
[49] HDLPrepro_1.12        vars_1.6-1            quantmod_0.4.28      
[52] Rcpp_1.0.14           systemfonts_1.2.3     tibble_3.2.1         
[55] lmtest_0.9-40         tidyselect_1.2.1      farver_2.1.2         
[58] nlme_3.1-167          labeling_0.4.3        xts_0.14.1           
[61] timeDate_4051.111     fracdiff_1.5-3        compiler_4.4.3       
[64] quadprog_1.5-8        TTR_0.24.4           
