Statistical Methods for the Sujatha Distribution

Provides computational tools for the Sujatha distribution, including probability density, cumulative distribution, quantile function, random number generation, parameter estimation by maximum likelihood, goodness-of-fit procedures, and associated statistical methods for lifetime data analysis. The implemented methods are based on the Sujatha distribution proposed by Shanker (2016) .

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Overview

SujathaDist is an R package that provides computational tools for the Sujatha distribution, a one-parameter lifetime distribution introduced by Shanker (2016). The package offers functions for evaluating distributional quantities, generating random samples, estimating model parameters, assessing goodness-of-fit, and performing statistical analyses for lifetime and reliability data.

Features

The package currently provides:

• Probability density function (dsujatha())
• Cumulative distribution function (psujatha())
• Quantile function (qsujatha())
• Random number generation (rsujatha())
• Maximum likelihood estimation (fitsujatha())
• Goodness-of-fit analysis (gofsujatha())
• S3 methods:
  • print()
  • summary()
  • coef()
  • vcov()
  • confint()
  • logLik()
  • AIC()
  • BIC()
  • deviance()

Installation

Development version

install.packages("remotes")

remotes::install_github("hosenur72/SujathaDist")

Quick Start

library(SujathaDist)

theta <- 2

## Density
dsujatha(1, theta)

## Distribution
psujatha(1, theta)

## Quantile
qsujatha(0.5, theta)

## Random generation
set.seed(123)
x <- rsujatha(100, theta)

## Parameter estimation
fit <- fitsujatha(x)

summary(fit)

## Goodness of fit
gofsujatha(fit)

Package Structure

References

Shanker, R. (2016).

Sujatha Distribution and its Applications.

Statistics in Transition New Series, 17(3), 391–410.

https://doi.org/10.21307/stattrans-2016-029

Citation

citation("SujathaDist")

Prodhani, H. R. (2026):Statistical Methods for the Sujatha Distribution, R package version 1.0.0, https://github.com/hosenur72/SujathaDist"

Author

Hosenur Rahman Prodhani Assistant Professor

Department of Statistics

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

Email: [email protected]

• ORCID: https://orcid.org/0009-0001-3919-4952

License

GPL-3