178
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

The compound class of linear failure rate-power series distributions: Model, properties, and applications

&
Pages 1414-1440 | Received 17 Jun 2014, Accepted 05 Jan 2015, Published online: 11 Nov 2016

References

  • Abouammoh, A. M., Abdulghani, S. A., Qamber, I. S. (1994). On partial orderings and testing of new better than renewal used classes. Reliability Engineering & System Safety 43(1):37–41.
  • Adamidis, K., Dimitrakopoulou, T., Loukas, S. (2005). On an extension of the exponential–geometric distribution. Statistics and Probability Letters 73(3):259–269.
  • Adamidis, K., Loukas, S. (1998). A lifetime distribution with decreasing failure rate. Statistics and Probability Letters 39(1):35–42.
  • Barreto-Souza, W., Morais, A. L., Cordeiro, G. M. (2011). The Weibull-geometric distribution. Journal of Statistical Computation and Simulation 81(5):645–657.
  • Barreto-Souza, W., Santos, A. H. S., Cordeiro, G. M. (2010). The beta generalized exponential distribution. Journal of Statistical Computation and Simulation 80(2):159–172.
  • Bourguignon, M., Silva, R. B., Cordeiro, G. M. (2014). A new class of fatigue life distributions. Journal of Statistical Computation and Simulation 84(12):2619–2635.
  • Cancho, V. G., Louzada-Neto, F., Barriga, G. D. C. (2011). The Poisson–exponential lifetime distribution. Computational Statistics and Data Analysis 55(1):677–686.
  • Casella, G., Berger, R. (2001). Statistical Inference. Pacific Grove, CA: Duxbury.
  • Chahkandi, M., Ganjali, M. (2009). On some lifetime distributions with decreasing failure rate. Computational Statistics and Data Analysis 53(12):4433–4440.
  • Dempster, A. P., Laird, N. M., Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society, Series B 39(1):1–38.
  • Flores, J., Borges, P., Cancho, V. G., Louzada, F. (2013). The complementary exponential power series distribution. Brazilian Journal of Probability and Statistics 27(4):565–584.
  • Ghitany, M. E., Kotz, S. (2007). Reliability properties of extended linear failure-rate distributions. Probability in the Engineering and Informational Sciences 21(3):441–450.
  • Johnson, N. L., Kemp, A. W., Kotz, S. (2005). Univariate Discrete Distributions. 3rd ed. Wiley-Interscience: New Jersey.
  • Kuş, C. (2007). A new lifetime distribution. Computational Statistics and Data Analysis 51(9):4497–4509.
  • Louis, T. A. (1982). Finding the observed information matrix when using the EM algorithm. Journal of the Royal Statistical Society, Series B 44(2):226–233.
  • Louzada, F., Marchi, V., Roman, M. (2014). The exponentiated exponential-geometric distribution: A distribution with decreasing, increasing and unimodal failure rate. Statistics 48(1):167–181.
  • Louzada, F., Roman, M., Cancho, V. G. (2011). The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart. Computational Statistics and Data Analysis 55(8):2516–2524.
  • Louzada-Neto, F., Cancho, V. G., Barriga, G. D. C. (2011). The Poisson–exponential distribution: A Bayesian approach. Journal of Applied Statistics 38(6):1239–1248.
  • Lu, W., Shi, D. (2011). A new compounding life distribution: The Weibull–Poisson distribution. Journal of Applied Statistics 39(1):21–38.
  • Mahmoudi, E., Jafari, A. A. (2012). Generalized exponential–power series distributions. Computational Statistics and Data Analysis 56(12):4047–4066.
  • Mahmoudi, E., Sepahdar, A. (2013). Exponentiated Weibull-Poisson distribution: model, properties and applications. Mathematics and Computers in Simulation 92:76–97.
  • Marshall, A. W., Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika 84(3):641–652.
  • Morais, A. L., Barreto-Souza, W. (2011). A compound class of Weibull and power series distributions. Computational Statistics and Data Analysis 55(3):1410–1425.
  • Nadarajah, S., Mitov, K. (2005). Correction: A new response time distribution. Biometrics 61(1):311.
  • Noack, A. (1950). A class of random variables with discrete distributions. The Annals of Mathematical Statistics 21(1):127–132.
  • Roman, M., Louzada, F., Cancho, V. G., Leite, J. G. (2012). A new long-term survival distribution for cancer data. Journal of Data Science 10(2):241–258.
  • Sen, A., Bhattacharyya, G. K. (1995). Inference procedures for the linear failure rate model. Journal of Statistical Planning and Inference 46(1):59–76.
  • Silva, R. B., Bourguignon, M., Dias, C. R. B., Cordeiro, G. M. (2013). The compound class of extended Weibull power series distributions. Computational Statistics and Data Analysis 58:352–367.
  • Smith, R. L., Naylor, J. C. (1987). A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution. Applied Statistics 36(3):358–369.
  • Tahmasbi, R., Rezaei, S. (2008). A two-parameter lifetime distribution with decreasing failure rate. Computational Statistics and Data Analysis 52(8):3889–3901.
  • Tojeiro, C., Louzada, F., Roman, M., Borges, P. (2014). The complementary Weibull geometric distribution. Journal of Statistical Computation and Simulation 84(6):1345–1362.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.