SujathaDist

Overview

SujathaDist is an R package for statistical analysis based on the Sujatha distribution, a one-parameter lifetime distribution proposed by Shanker (2016). The package provides functions for probability calculations, random number generation, parameter estimation using Maximum Likelihood Estimation (MLE), and goodness-of-fit analysis.

The package is intended for researchers, statisticians, reliability engineers, and students working with lifetime and reliability data.

Features

Density function (dsujatha)
- Distribution function (psujatha)
  - Quantile function (qsujatha)
    - Random number generation (rsujatha)
Maximum Likelihood Estimation (fitsujatha)
Goodness-of-fit analysis (gofsujatha)
Confidence intervals
Model selection criteria
Log-Likelihood
AIC
AICc
BIC
CAIC
HQIC

Installation

Install from GitHub

# install.packages("remotes")
# remotes::install_github("hosenur72/SujathaDist")
install.packages("SujathaDist", repos = c('https://hosenur72.r-universe.dev', 'https://cloud.r-project.org'))

Install from Source

Download the package source and install

install.packages("SujathaDist_1.0.0.tar.gz",
                 repos = NULL,
                 type = "source")

Load the Package

library(SujathaDist)

Examples

Density Function

dsujatha(2, theta = 2)

Distribution Function

psujatha(2, theta = 2)

Quantile Function

qsujatha(0.50, theta = 2)

Random Number Generation

set.seed(123)

x <- rsujatha(100,
            theta = 2)

head(x)

Parameter Estimation

fit <- fitsujatha(x)

fit

Example output

Maximum Likelihood Fit of Sujatha Distribution

Parameter Estimate

theta = 2.08

Summary

summary(fit)

Confidence Interval

confint(fit)

Variance-Covariance Matrix

vcov(fit)

Goodness-of-Fit

gofsujatha(fit)

Included Functions

Function	Description
`dsujatha()`	Probability density function
`psujatha()`	Cumulative distribution function
`qsujatha()`	Quantile function
`rsujatha()`	Random number generation
`fitsujatha()`	Maximum likelihood estimation
`gofsujatha()`	Goodness-of-fit analysis

Applications

The package can be applied in

Reliability Engineering
Survival Analysis
Lifetime Data Analysis
Medical Statistics
Actuarial Science
Risk Analysis
Industrial Quality Control

References

Shanker, R. (2016).

Sujatha Distribution and Its Applications.

Statistics in Transition: new Series, 17 (3), 391-410,

Citation

If you use SujathaDist in your research, please cite both the package and the original paper introducing the Sujatha distribution.

Example

Prodhani, H. R.(2026).

SujathaDist:
  An R Package for Statistical Analysis Using the Sujatha Distribution.

Version 1.0.0.

Author

Hosenur Rahman Prodhani

Assistant Professor

Department of Statistics

B.N. College (Autonomous),Dhubri, Assam, India

Email: hosenur72@gmail.com

License

GPL (>= 3)