Exponential-Discrete Lindley Distribution: Properties and Applications
In this paper, we introduce a new compounding distribution named Exponential Discrete Lindley distribution which compounds the discrete Lindley distribution and exponential distribution. We obtain several
properties of the new distribution such as its probability density function, survival function, hazard rate
function, mean residual life function. Moments and expression for the Rényi entropy of the proposed
distribution are also given. Moreover, the maximum likelihood method using the EM algorithm is developed for
parameter estimation. Two real data sets are used to illustrate the usefulness of the proposed distribution
Keywords:
Discrete Lindley distribution, Compound distribution, Exponential distribution, Maximum likelihood estimation EM-algorithm, Rényi entropy,
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- Adamidis K., Loukas, S.: A lifetime distribution with decreasing failure rate. Stat Probab Lett. 39 (1), 35-42 (1998). https://doi.org/10.1016/S0167-7152(98)00012-1
- Kus, C.: A new lifetime distribution. Comput Stat Data Anal. 51 (9), 4497–4509 (2007). https://doi.org/10.1016/j.csda.2006.07.017.
- Tahmasbi, R., Rezaei, S.: A two-parameter lifetime distribution with decreasing failure rate. Comput Stat Data Anal. 52 (8), 3889–3901 (2008). https://doi.org/10.1016/j.csda.2007.12.002
- Chahkandi, M., Ganjali, M.: On some lifetime distributions with decreasing failure rate. Comput Stat Data Anal. 53 (12), 4433–4440 (2009). https://doi.org/10.1016/j.csda.2009.06.016
- Barreto-Souza, W., Bakouch, H.S.: A new lifetime model with decreasing failure rate. Statistics. 47 (2), 465–476 (2013) https://doi.org/10.1080/02331888.2011.595489
- Lu, W., Chiang, J. Y.: On some life distributions with flexible failure rate. Quality Technology & Quantitative Management. 15 (3), 413-433 (2018). https://doi.org/10.1080/16843703.2016.1226596
- Gui, W., Zhang, S., Lu, X.: The Lindley-Poisson distribution in lifetime analysis and its properties. Hacet J Math Stat. 43 (6), 1063–1077 (2014).
- Yilmaz, M., Hameldarbandi, M., Kemaloglu, S.A.: Exponential-modified discrete Lindley distribution. SpringerPlus. 5 (1660), (2016b). https://doi.org/10.1186/s40064-016-3302-2
- Bhaumik, D.K., Kapur, K., Gibbons, R.D.: Testing Parameters of a Gamma Distribution for Small Samples. Technometrics. 51, 326–334 (2009). https://doi.org/10.1198/tech.2009.07038
- Maguire, B.A., Pearson, E.S., Wynn, A.H.A.: The time intervals between industrial accidents. Biometrika. 39 (1/2), 168–180 (1952). https://doi.org/10.2307/2332475
- Yilmaz, M., Potas, N., Buyum, B.: A Classical Approach to Modeling of Coal Mine Data. In: Erçetin ¸S. (eds) Chaos, Complexity and Leadership 2014. Springer Proceedings in Complexity. Springer, Cham. Chapter 7, 65-72 (2016). https://doi.org/10.1007/978-3-319-18693-1_7
- Mahdavi, A. and Kundu, D.: A New Method for Generating Distributions with an Application to Exponential Distribution. Communications in Statistics-Theory and Methods. 46 (13), 6543-6557 (2017). https://doi.org/10.1080/03610926.2015.1130839
- ISSN: 2147-6268
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2013
- Yayıncı: -
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