Receiver Operating Characteristic Based on Power Lindley Distribution.
PLindleyROC
The goal of PLindleyROC is to evaluate the Receiver Operating Characteristic (ROC) for Power Lindley Distribution. Additionally, The performace asssesments can be performed associated with the Bi-Power Lindley ROC model.
Installation
You can install the development version of PLindleyROC via the following code:
# install.packages("devtools")
devtools::install_github("ErtanSU/PLindleyROC")
Example
This is a basic example which shows you how to solve a common problem:
library(PLindleyROC)
dPLD(c(1,2,3,4,5,200),alpha=3,beta=2)
#> [1] 1.082682e+00 1.620507e-05 3.560890e-21 1.070039e-52 3.363180e-105
#> [6] 0.000000e+00
library(PLindleyROC)
pPLD(c(.5,1,2,3,4),alpha=3,beta=2)
#> [1] 0.1562992 0.7744412 0.9999993 1.0000000 1.0000000
library(PLindleyROC)
qPLD(c(.9971,0.5,0.3),alpha=3,beta=2)
#> [1] 1.5220612 0.7868721 0.6362570
library(PLindleyROC)
rPLD(10,alpha=3,beta=2)
#> [1] 0.6572033 0.7754573 0.6550335 0.9569136 1.1122406 0.6148588 0.8642285
#> [8] 0.4055046 0.6852735 0.9968817
library(PLindleyROC)
r.pl_auc(x=c(1,2,2,3,1),y=c(1,3,2,4,2,3),true_param=c(alpha1=1,beta1=1,alpha2=1,beta2=1),method=c("TRUE"))
#> [1] 0.5
library(PLindleyROC)
r.pl_index(x=c(1,2,2,3,1),y=c(1,3,2,4,2,3),init_param=c(1,1,1,1),init_index=1,method=c("MLE"))
#> Cut-off Point Sensitivity Specificity 1-Specificity
#> J 2.257651 0.5843951 0.7345488 0.2654512
#> ER 2.128638 0.6365278 0.6790223 0.3209777
#> CZ 2.155423 0.6258267 0.6909883 0.3090117
#> EC 2.049502 0.6676484 0.6424604 0.3575396
library(PLindleyROC)
x=c(1,2,2,3,1)
y=c(1,3,2,4,2,3)
r.pl_graph(x,y,init_param=c(1,1,1,1),empirical=TRUE,method=c("MLE"))
Corresponding Author
Department of Statistics, Faculty of Science, Selcuk University, 42250, Konya, Turkey
Email:https://www.researchgate.net/profile/Ertan-Akgenc
References
Akgenç, E., and Kuş, C., 2023, ROC Curve Analysis for the Measurements Distributed Power-Lindley Distribution, 2nd International E-Conference On Mathematical And Statistical Sciences: A Selçuk Meeting (ICOMSS-2023), Konya, 25.
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