Package: LGCU 0.1.5

LGCU: Implementation of Learning Gamma CUSUM (Cumulative Sum) Control Charts

Implements Cumulative Sum (CUSUM) control charts specifically designed for monitoring processes following a Gamma distribution. Provides functions to estimate distribution parameters, simulate control limits, and apply cautious learning schemes for adaptive thresholding. It supports upward and downward monitoring with guaranteed performance evaluated via Monte Carlo simulations. It is useful for quality control applications in industries where data follows a Gamma distribution. Methods are based on Madrid-Alvarez et al. (2024) <doi:10.1002/qre.3464> and Madrid-Alvarez et al. (2024) <doi:10.1080/08982112.2024.2440368>.

Authors:Harold Manuel Madrid-Alvarez [aut, cre], Victor Gustavo Tercero-Gomez [aut], Juan Carlos Garcia-Diaz [aut]

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LGCU.pdf |LGCU.html✨
LGCU/json (API)
NEWS

# Install 'LGCU' in R:

install.packages('LGCU', repos = c('https://ingharold-madrid.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/ingharold-madrid/lgcu/issues

Uses libs:

c++– GNU Standard C++ Library v3

On CRAN:

cpp

3.00 score 118 downloads 14 exports 3 dependencies

Last updated 2 hours agofrom:ac252ef8cf. Checks:12 OK. Indexed: yes.

Target	Result	Latest binary
Doc / Vignettes	OK	Mar 16 2025
R-4.5-win-x86_64	OK	Mar 16 2025
R-4.5-mac-x86_64	OK	Mar 16 2025
R-4.5-mac-aarch64	OK	Mar 16 2025
R-4.5-linux-x86_64	OK	Mar 16 2025
R-4.4-win-x86_64	OK	Mar 16 2025
R-4.4-mac-x86_64	OK	Mar 16 2025
R-4.4-mac-aarch64	OK	Mar 16 2025
R-4.4-linux-x86_64	OK	Mar 16 2025
R-4.3-win-x86_64	OK	Mar 16 2025
R-4.3-mac-x86_64	OK	Mar 16 2025
R-4.3-mac-aarch64	OK	Mar 16 2025

Exports:ARL_Clminus ARL_Clplus getDeltaH_down getDeltaH_up getDeltaHL_down getDeltaHL_up GICARL_CUSUM_down GICARL_CUSUM_up plot_GICC_chart2 plot_GICCdown_chart plot_GICCL_chart2 plot_GICCLdown_Chart plot_GICCLup_Chart plot_GICCup_chart

Dependencies:MASS Rcpp tictoc

Help page	Topics
ARL Estimation in CUSUM Control Charts with Gamma Distribution and Cautious Learning for downward detection	ARL_Clminus
ARL Estimation in CUSUM Control Charts with Gamma Distribution and Cautious Learning for upward detection	ARL_Clplus
Estimation of the Optimal 'H_delta' Value to Guarantee Performance in the Downward CUSUM Control Chart	getDeltaH_down
Estimation of the optimal 'H_delta' value to guarantee performance in the upward CUSUM control chart	getDeltaH_up
Estimation of the 'H_delta' parameter with learning for downward detection in CUSUM Gamma charts	getDeltaHL_down
Estimation of the 'H_delta' parameter with learning for upward detection in Gamma CUSUM control charts	getDeltaHL_up
ARL Calculation for a Downward CUSUM Control Chart with a Gamma Distribution	GICARL_CUSUM_down
ARL Calculation for an Upward CUSUM Control Chart with a Gamma Distribution	GICARL_CUSUM_up
CUSUM Control Chart for Gamma Distribution with Guaranteed Performance	plot_GICC_chart2
Downward CUSUM Control Chart for Gamma Distribution with Guaranteed Performance	plot_GICCdown_chart
CUSUM Control Chart with Cautious Learning and Guaranteed Performance	plot_GICCL_chart2
Downward CUSUM Control Chart with Cautious Learning and Guaranteed Performance	plot_GICCLdown_Chart
Upward CUSUM Control Chart with Cautious Learning and Guaranteed Performance	plot_GICCLup_Chart
Upward CUSUM Control Chart for Gamma Distribution with Guaranteed Performance	plot_GICCup_chart

Package: LGCU 0.1.5

LGCU: Implementation of Learning Gamma CUSUM (Cumulative Sum) Control Charts

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