Compounded Linear Failure Rate Distribution (CLFRD)

R code for the paper:

"Compounded Linear Failure Rate Distribution: Properties, Simulation and Analysis"

Authors: Suchismita Das, Akul Ameya, Cahyani Karunia Putri

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Overview

This repository contains the R implementation for the Compounded Linear Failure Rate Distribution (CLFRD), a flexible three-parameter lifetime model designed to capture complex failure patterns in reliability engineering and survival analysis.

The CLFRD extends the classical Linear Failure Rate Distribution (LFRD) through a Poisson compounding framework, enabling the model to represent:

• Increasing hazard rates
• Bathtub-shaped hazard patterns
• Inverse bathtub-shaped hazard patterns

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Repository Structure

clfrd_main.R         # Main R script with all analyses

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Key Features

The R code implements:

1. Distribution Functions

• CLFRD (Compounded Linear Failure Rate Distribution) - Proposed model
• LFRD (Linear Failure Rate Distribution)
• RD (Rayleigh Distribution)
• GRD (Generalized Rayleigh Distribution)
• ED (Exponential Distribution)
• GED (Generalized Exponential Distribution)

2. Data Analysis

Three real-world datasets analyzed in the paper:

• Aarset (1987): Lifetime of 50 devices
• Lawless (1982): Failure times of 36 appliances
• Gupta (2009): Marks of 48 students in Mathematics

For each dataset, the code performs:

Compounded Linear Failure Rate Distribution (CLFRD)

Short R implementation for the paper "Compounded Linear Failure Rate Distribution: Properties, Simulation and Analysis".

Usage (quick):

1. Open R and source the main script:

source("clfrd_main.R")

2. The script defines convenience functions. Common calls:

• probden("decreasing") or probden("unimodal") # PDF plots
• hazard("condition4") (or condition1..condition5) # hazard plots
• tables() # compute MRL and MIT tables
• analysis() # run MLEs, goodness-of-fit and comparisons
• sim() # Monte Carlo simulations

Datasets included (switch in vals()):

• aarset — Aarset (1987), 50 devices
• appliances — Lawless (1982), 36 appliances
• mathematics — Gupta (2009), 48 students

Required packages:

install.packages(c("ggplot2","gridExtra","numDeriv","lamW","goftest"))

Outputs (created by functions above):

• clfrd_analysis.txt, clfrd_tables.txt, clfrd_simulation.txt, survival_plot.png, and other figure files

Contact:

• suchismita.das@spjain.org

License: academic/research use; please cite the paper when using this code.

Output will be saved to "clfrd_analysis.txt" and "survival_plot.png"