In this paper, we modify the Burr-XII distribution through the inverse exponential scheme to
obtain a new two-parameter distribution on the unit interval called the unit Burr-XII …

In this paper, we propose a new distribution, named unit log–log distribution, defined on the
bounded (0, 1) interval. Basic distributional properties such as model shapes, stochastic …

Distributions with bounded support show considerable sparsity over those with unbounded
support, despite the fact that there are a number of real-world contexts where observations …

A bounded form of the Teissier distribution, namely the unit Teissier distribution, is
introduced. It is subjected to a thorough examination of its important properties, including …

Unit distributions are typically used in probability theory and statistics to illustrate useful
quantities with values between zero and one. In this paper, we investigated an appropriate …

To define useful numbers having values from 0 to 1, as percentages, probabilities, and
proportions, the unit probability models are often employed in probability and statistics. In …

Quantile regression provides a framework for modeling the relationship between a response
variable and covariates using the quantile function. This work proposes a regression model …

Probability distributions are very useful in modeling lifetime datasets. However, no specific
distribution is suitable for all kinds of datasets. In this study, the bounded truncated Cauchy …

In this paper, the estimation of the stress–strength reliability is taken into account when the
stress and strength variables have unit Gompertz distributions with a similar scale …

This work proposes a new distribution defined on the unit interval. It is obtained by a novel
transformation of a normal random variable involving the hyperbolic secant function and its …