Statistical Properties and Estimation of Inverted Topp-Leone Distribution
By Amal S. Hassan, Mohammed Elgarhy, Randa Ragab. 2020
64 citations recorded by the source corpus.
A new probability distribution, i.e. the inverted Topp-Leone distribution is proposed. Some of its statistical properties such as; quantile function, mode, moments, probability weighted moments, incomplete moments, stress-strength model, moments of residual life function, Rényi entropy, and stochastic ordering are provided. Maximum likelihood estimation method based on complete, Type I, and Type II censored samples is considered. Simulation issues are provided to assess the results of the study. Moreover, the results are applied to a real data set.
Subfields: Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/55468d4d25db8ab7746587699532bad67c223557
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In Management Science and Operations Research
In Statistics and Probability
Citations in the corpus
- Kumaraswamy Inverted Topp–Leone Distribution with Applications to COVID-19 Data (2021, background): “Recently, [9] provided the inverted Topp–Leone (ITL) distribution with the following probability density function (pdf) g (z;υ)= 2υz (1+ z)−2υ−1 (1+ 2z)υ−1 ; z, υ > 0.”