PLindleyROC

The Power Lindley Receiver Operating Characteristic

https://github.com/ertansu/plindleyroc

Repository

The Power Lindley Receiver Operating Characteristic

README.Rmd

---
output: github_document
---



```{r, include = FALSE}
knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>",
  fig.path = "man/figures/README-",
  out.width = "100%"
)
```

# PLindleyROC


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[](https://github.com/ErtanSU/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:

``` r
# install.packages("devtools")
devtools::install_github("ErtanSU/PLindleyROC")
```

## Example

This is a basic example which shows you how to solve a common problem:

```{r}
library(PLindleyROC)
dPLD(c(1,2,3,4,5,200),alpha=3,beta=2)
```

```{r}
library(PLindleyROC)
pPLD(c(.5,1,2,3,4),alpha=3,beta=2)
```

```{r}
library(PLindleyROC)
qPLD(c(.9971,0.5,0.3),alpha=3,beta=2)
```

```{r}
library(PLindleyROC)
rPLD(10,alpha=3,beta=2)
```

```{r}
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"))
```

```{r}
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"))
```

```{r}
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.

Attwood, K., Hou, S., and Hutson, A., 2022,
*Application of the skew exponential power distribution to ROC curves*, Journal of Applied Statistics, 1-16.

Ghitany M., Al-Mutairi D. K., Balakrishnan N., and Al-Enezi L., 2013,
*Power lindley distribution and associated inference*, Computational Statistics & Data Analysis, 64,20–33.

 Liu, X., 2012,
*Classification accuracy and cut point selection*, Statistics in medicine, 31(23), 2676-2686.

Nahm, F. S., 2022,
*Receiver operating characteristic curve: overview and practical use for clinicians*, Korean journal of anesthesiology, 75(1), 25-36.

Perkins, N. J., and Schisterman, E. F., 2006,
*The inconsistency of “optimal” cutpoints obtained using two criteria based on the receiver operating characteristic curve*, American journal of epidemiology, 163(7), 670-675.

Pundir, S. and Amala, R., 2014,
*Evaluation of area under the constant shape bi-weibull roc curve*, Journal of Modern Applied Statistical Methods, 13(1),1-20.

Youden, W. J., 1950,
*Index for rating diagnostic tests*, Cancer, 3(1), 32-35.

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