The Unit-transmuted Lindley Distribution with Applications
Abstract
This paper introduces the unit-transmuted Lindley (unit-TL) distribution. The statistical properties of the unit-TL distribution defined between (0,1) are discussed in detail. Several estimation techniques are used to estimate the parameters of the unit-TL distribution. An analysis through simulation is carried out to evaluate the efficacy of the suggested model. Furthermore, a unique regression model is developed for bounded response variables based on the unit-TL distribution. To illustrate the importance of the suggested model in precisely describing restricted datasets, two distinct datasets are examined
Keywords
Proportion data, Transmuted Lindley, Least squares, Simulation
References
- [1] Papke L. E., Wooldridge J. M., Econometric methods for fractional response variables with an application to 401 (k) plan participation rates, Journal of applied econometrics, 11(6) (1996) 619-632.
- [2] Topp C. W., Leone F. C., A family of J-shaped frequency functions, Journal of the American Statistical Association, 50(269) (1955) 209-219.
- [3] Kumaraswamy P., A generalized probability density function for double-bounded random processes, Journal of Hydrology, 46(1-2) (1980) 79-88.
- [4] Cordeiro G. M, de Castro M., A new family of generalized distributions, Journal of statistical computation and simulation, 81(7) (2011) 883-898.
- [5] Mazucheli J., Menezes A. F., Dey S., The unit-Birnbaum-Saunders distribution with applications, Chilean Journal of Statistics (ChJS), 9(1) (2018) 47-57.
- [6] Altun E., Hamedani G. G., The log-xgamma distribution with inference and application, Journal de la Societe Francaise de Statistique, 159(3) (2018) 40-55.
- [7] Korkmaz M. C., Altun E., Alizadeh M., El-Morshedy M., The log exponential power distribution: Properties, estimations and quantile regression model, Mathematics, 9(21) (2021) 2634.
- [8] Altun E., El-Morshedy, M., Eliwa M. S., A new regression model for bounded response variable: An alternative to the beta and unit-Lindley regression models, Plos One, 16(1) (2021) e0245627.
- [9] Altun E., The log-weighted exponential regression model: alternative to the beta regression model, Communications in Statistics-Theory and Methods, 50(10) (2021) 2306-2321.
- [10] Altun E., Cordeiro G. M., The unit-improved second-degree Lindley distribution: inference and regression modeling, Computational Statistics, 35 (2020) 259-279.