Mathematics

Statistics

Distribution (mathematics)

Quantile

Probability distribution

Logistic regression

Mathematical analysis

Distribution fitting

Geometric distribution

Computer science

Applied mathematics

Log-logistic distribution

Univariate distribution

Logistic distribution

Axioms

A new one parameter distribution recently was proposed for modelling lifetime data called half logistic-geometric (HLG) distribution. In this paper, appropriate transformation is considered for HLG distribution and a new distribution is derived called unit half logistic-geometric (UHLG) distribution for modelling bounded data in the interval (0, 1). Some important statistical properties are investigated with a closed form quantile function. Some methods of parameter estimation are introduced to evaluate the distribution parameter and a simulation study is introduced to compare these different methods. A real data application in the insurance field is introduced to show the flexibility of the new distribution modelling such data comparing with other distributions.

A Unit Half-Logistic Geometric Distribution and Its Application in Insurance