Extended New Generalized Lindley Distribution
DOI:
https://doi.org/10.6092/issn.1973-2201/6282Keywords:
Lindley distribution, Maximum likelihood estimator, Inequality measures, Rényi entropyAbstract
In this paper, we consider an extended version of new generalized Lindley distribution (NGLD). We refer to this new generalization as the extended new generalized Lindley distribution (ENGLD). A comprehensive account of the mathematical properties of the new distribution including estimation is presented. A real life data set is considered here to illustrate the relevance of the new model and compared it with other forms of Lindley models using method of moment estimation and method of maximum likelihood estimation.References
S. K ASHOUR, M. A. ELTEHIWY (2015). Exponentiated power Lindley distribution. Journal of Advanced Research, 6: 895-905.
A. ASGHARZADEH, H. S. BAKOUCH, S. NADARAJAH, S. SHARAFI (2016). A new weighted Lindley distribution. Brazilian Journal of Probability and Statistics, 30: 1-27.
H. S. BAKOUCH, B. M. AL-ZAHRANI, A. A. AL-SHOMRANI, V. A. A. MARCHI, F. LOUZADA (2012). An extended Lindley distribution. Journal of the Korean
Statistical Society, 41: 75-85.
D. BHATI, M. A. MALIK (2015). Lindley-exponential distribution: properties and applications. Metron, 73: 335-357.
T. BJERKEDAL (1960). Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli. American Journal of Hygiene, 72: 130-148.
C. E. BONFERRONI (1930): Elementi di statistica generale. Libreria Seber, Firenze.
E. G. DENIZ, E. C. OJEDA (2011). The discrete Lindley distribution properties and applications. Journal of Statistical Computation and Simulation, 81: 1405-1416.
I. ELBATAL, F. MEROVCI, M. ELGARHY (2013). A new generalized Lindley distribution. Mathematical Theory and Modeling, 3: 30-47.
M. E. GHITANY, B. ATIEH, S. NADARAJAH (2008). Lindley distribution and its applications. Mathematics and Computers in Simulation, 78: 493-506.
M. E. GHITANY, D. K. AL-MUTAIRI, F. A. AL-AWADHI, M. M. AL-BURAIS (2012). Marshall-Olkin extended Lindley distribution and its application. International Journal of Applied Mathematics, 25: 709-721.
M. K. HASSAN (2014). On the convolution of Lindley distribution. Columbia International Publishing: Contemporary Mathematics and Statistics, 2: 47-54.
G. O. KADILAR, S. CAKMAKYAPAN (2016). The Lindley family of distributions: properties and applications. Hacettepe University Bulletin of Natural Sciences and Engineering Series B: Mathematics and Statistics.
D. V. LINDLEY (1958). Fiducial distributions and Baye’s theorem. Journal of the Royal Statistical Society, Series B, 20: 102-107.
G. W. LIYANAGE, M. PARARAI (2014). A generalized power Lindley distribution with applications. Asian Journal of Mathematics and Applications, 1-23.
J. MAZUCHELI, J. A. ACHCAR (2011). The Lindley distribution applied to competing risks lifetime data. Computer Methods and Programs in Biomedicine, 104: 188-192.
F. METIRI, H. ZEGHDOUDI, M. R. REMITA (2016). On Bayes estimates of Lindley distribution under linux loss function: informative and non informative priors. Global journal of Putre and Applied Mathematics, 12: 391-400.
S. NEDJAR, H. ZEGHDOUDI (2016). On gamma Lindley distribution: properties and simulations. Journal of Computational and Applied Mathematics, 298: 167-174.
P. PUIG (2003). Characterizing additively closed discrete models by a property of their MLEs, with an application to generalized Hermite distributions. Journal of American Statistical Association, 98: 687-692.
A. RÉNYI (1961). On measures of entropy and information. Proceedings of the Fourth Berkeley Symposium on Mathemtical Statistics and Probability, 1: 547-561.
R. SHANKER, S. SHARMA, R. SHANKER (2013). A two-parameter Lindley distribution for modeling waiting and survival times data . Applied Mathematics, 4: 363-368.
R. SHANKER, H. FESSHAYE, S. SHARMA (2016). On quasi Lindley distribution and its application to model lifetime data . International Journal of Statistical Distributions and Applications, 2: 1-7.
H. ZAKERZADEH, A. DOLATI (2009). Generalized Lindley distribution. Journal of Mathematical Extension, 3: 13-25.
M. ZENGA (2007). Inequality curve and inequality index based on the ratios between lower and upper arithmetic means. Statistica and Applicazioni, 4: 3-27.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 Statistica
Copyrights and publishing rights of all the texts on this journal belong to the respective authors without restrictions.
This journal is licensed under a Creative Commons Attribution 4.0 International License (full legal code).
See also our Open Access Policy.
