On a Generalized Lindley Distribution

Rasool Roozegar, Saralees Nadarajah

Abstract


Nedjar and Zeghdoudi (2016) studied various properties of a distribution which they claim to have introduced. Here, we point out that the distribution is a particular case of at least two known distributions. Most of the properties derived by Nedjar and Zeghdoudi are already known. We also point out that most of the results presented by Nedjar and Zeghdoudi are either incorrect or not useful.


Keywords


Gamma Lindley distribution; Lindley distribution; Mathematical properties

Full Text:

PDF (English)

References


D. V. LINDLEY (1958). Fiducial distributions and Bayes’ theorem. Journal of the Royal Statistical Society B, 20, pp. 102–107.

M. O. LORENZ (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9, pp. 209–219.

R. MAYA, M. R. IRSHAD (2017). New extended generalized Lindley distribution: Properties and applications. Statistica, 77, pp. 33–52.

S. NEDJAR, H. ZEGHDOUDI (2016). On gamma Lindley distribution: Properties and simulations. Journal of Computational and Applied Mathematics, 298, pp. 167–174.

A. RENYI (1961). On measures of information and entropy. In Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability. University of California Press, Berkeley, CA, pp. 547–561.

R. SHANKER, S. SHARMA, R. SHANKER (2013). A two-parameter Lindley distribution for modeling waiting and survival times data. Applied Mathematics, 4, pp. 363–368.

R. SHANKER, K. K. SHUKLA, F.HAGOS (2017). Atwo-parameter Lindley distribution: Its properties and applications. Biostatistics and Biometrics, 1, pp. 1–7.

D. S. SHIBU, M. R. IRSHAD (2016). Extended new generalized Lindley distribution. Statistica, 76, pp. 41–56.

H. TORABI, M. FALAHATI-NAEINI, N. H. MONTAZERI (2014). An extended generalized Lindley distribution and its applications to lifetime data. Journal of Statistical Research of Iran, 11, pp. 203–222.

S. A. VARGHESE, V. S. VAIDYANATHAN (2016). Analysis of simple step-stress accelerated life test data from Lindley distribution under type-i censoring. Statistica, 76, pp. 233–248.

H. ZEGHDOUDI, S. NEDJAR (2015). Gamma-Lindley distribution and its application. Journal of Applied Probability and Statistics, 10.




DOI: 10.6092/issn.1973-2201/6836