Last updated: 2018-05-12

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    rmd cc0ab83 Lei Sun 2018-05-11 update
    html 0f36d99 LSun 2017-12-21 Build site.
    html 8e5c59f LSun 2017-11-28 Build site.
    rmd 0cc70b9 LSun 2017-11-28 wflow_publish(c(“analysis/cash_deconv.rmd”, “analysis/index.Rmd”))
    html 77798a0 LSun 2017-11-28 Build site.
    rmd 4b168a0 LSun 2017-11-28 wflow_publish(“analysis/cash_deconv.rmd”)
    html 7d5f593 LSun 2017-11-28 Build site.
    rmd 387a0e4 LSun 2017-11-28 wflow_publish(“analysis/cash_deconv.rmd”)

Average \(\hat s_i\) simulated from real data

\[ \sigma_n^2 := \bar{\hat s_i^2} \ . \]

Expand here to see past versions of sd.n plotting-1.png:
Version Author Date
0f36d99 LSun 2017-12-21
77798a0 LSun 2017-11-28
7d5f593 LSun 2017-11-28

We’ll take \(\sigma_n = 0.5\) in the simulations.

Correlated noise cases

\(g = 0.5\delta_0 + 0.5N(0, (2\sigma_n)^2)\)

Expand here to see past versions of cor plotting 3-1.png:
Version Author Date
0f36d99 LSun 2017-12-21
7d5f593 LSun 2017-11-28

\(g = 0.6\delta_0 + 0.3N(0, \sigma_n^2) + 0.1N(0, (2\sigma_n)^2)\)

Expand here to see past versions of cor plotting 1-1.png:
Version Author Date
0f36d99 LSun 2017-12-21
7d5f593 LSun 2017-11-28

\(g = 0.9\delta_0 + 0.1N(0, \sigma_n^2)\)

Expand here to see past versions of cor plotting 2-1.png:
Version Author Date
0f36d99 LSun 2017-12-21
7d5f593 LSun 2017-11-28

Independent noise cases

\(g = 0.5\delta_0 + 0.5N(0, (2\sigma_n)^2)\)

Expand here to see past versions of indep plotting 3-1.png:
Version Author Date
0f36d99 LSun 2017-12-21
7d5f593 LSun 2017-11-28

\(g = 0.6\delta_0 + 0.3N(0, \sigma_n^2) + 0.1N(0, (2\sigma_n)^2)\)

Expand here to see past versions of indep plotting 1-1.png:
Version Author Date
0f36d99 LSun 2017-12-21
7d5f593 LSun 2017-11-28

\(g = 0.9\delta_0 + 0.1N(0, 1)\)

Expand here to see past versions of indep plotting 2-1.png:
Version Author Date
0f36d99 LSun 2017-12-21
7d5f593 LSun 2017-11-28

Session information

sessionInfo()
R version 3.4.3 (2017-11-30)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS High Sierra 10.13.4

Matrix products: default
BLAS: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRlapack.dylib

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

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

other attached packages:
 [1] edgeR_3.20.2      limma_3.34.4      ashr_2.2-2       
 [4] Rmosek_8.0.69     PolynomF_1.0-1    CVXR_0.95        
 [7] REBayes_1.2       Matrix_1.2-12     SQUAREM_2017.10-1
[10] EQL_1.0-0         ttutils_1.0-1    

loaded via a namespace (and not attached):
 [1] gmp_0.5-13.1      Rcpp_0.12.16      compiler_3.4.3   
 [4] git2r_0.21.0      workflowr_1.0.1   R.methodsS3_1.7.1
 [7] R.utils_2.6.0     iterators_1.0.9   tools_3.4.3      
[10] digest_0.6.15     bit_1.1-12        evaluate_0.10.1  
[13] lattice_0.20-35   foreach_1.4.4     yaml_2.1.18      
[16] parallel_3.4.3    Rmpfr_0.6-1       ECOSolveR_0.4    
[19] stringr_1.3.0     knitr_1.20        locfit_1.5-9.1   
[22] rprojroot_1.3-2   bit64_0.9-7       grid_3.4.3       
[25] R6_2.2.2          rmarkdown_1.9     magrittr_1.5     
[28] whisker_0.3-2     MASS_7.3-47       backports_1.1.2  
[31] codetools_0.2-15  htmltools_0.3.6   scs_1.1-1        
[34] stringi_1.1.6     pscl_1.5.2        doParallel_1.0.11
[37] truncnorm_1.0-7   R.oo_1.21.0

This reproducible R Markdown analysis was created with workflowr 1.0.1