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Review Article

q-Esscher transformed Laplace distribution

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Pages 1563-1578 | Received 11 Jul 2017, Accepted 29 Jan 2018, Published online: 23 Feb 2018

References

  • Bakshi, A., B. R. Majhi, and S. Samant. 2017. Gravitational surface Hamiltonian and entropy quantization. Physics Letters B 765:334–8.
  • Costa, U. M. S., V. N. Freire, L. C. Malacarne, R. S. Mendes, S. Picoli Jr., E. A. Vasconcelos, and E. F. da Silva Jr. 2006. An improved description of the dielectric breakdown in oxides based on a generalized Weibull distribution. Physica A 361:209–15.
  • De Souza, A. M. C., and C. Tsallis. 1997. Students t and r-distributions: unified derivation from an entropic variational principle. Physica A 236:52–7.
  • George, D., and S. George. 2013. Marshall-Olkin Esscher transformed Laplace distribution and processes. Brazelian Journal of Probability and Statistics 27 (2):162–84.
  • George, S., and D. George. 2012. Esscher transformed Laplace distributions and its applications. Journal of Probability and Statistical Sciences 10 (2):135–52.
  • Ghitany, M. E., E. K. Al-Hussaini, and R. A. Al-Jarallah. 2005. Marshall-Olkin Extended Weibull distribution and its applications to censored data. Journal of Applied Statistics 32:1025–34.
  • Holland, P. 2001. Hamiltonian theory of wave and particle in quantum mechanics I. Liouville's theorem and the interpretation of the de Broglie-Bohm theory. Italian Phy. Soci. 9:1043–70.
  • Jayakumar, K., and A. P. Kuttykrishnan. 2006. A new asymmetric Laplace autoregressive process. Journal of Statistical Theory and Applications 7:365–77.
  • Jayakumar, K., and M. Thomas. 2008. On a generalization to Marshall-Olkin scheme and its application to Burr type XII distribution. Statistical Papers, doi:10.1007/s00362-006-0024-5
  • Jose, K. K., and A. Thomas. 2001. Marshall-Olkin generalized Weibull distributions and applications. STARS Int. Journal 2 (1):1–8.
  • Jose, K. K., and S. R. Naik. 2008a. An over view of pathway distributions and their applications. Science and Society 6 (1):89–96.
  • Jose, K. K., and S. R. Naik. (2008b). A class of asymmetric pathway distributions and an entropy interpretation. Physica A 387:6943–51.
  • Jose, K. K., S. R. Naik, and M. M. Ristic. 2010. Marshall-Olkin q Weibull distribution and maximin processes. Statistical Papers 51:837–51.2.
  • Jose, K. K., M. M. Ristic, and J. Ancy. 2011. Marshall-Olkin Bivariate Weibull distributions and processes. Statistical Papers 52:789–98.
  • Jose, K. K., and S. Rani. 2013. Marshall-Olkin Morgenstern-Weibull distribution: generalizations and applications. Journal of Economic Quality Control 28 (2):105–16.
  • Jose, K. K., and P. Uma. 2009. Marshal- Olkin generalized Mittag-Leffler distribution and processes. Far East Journal of Theoretical Statistics 28 (2):89–199
  • Lai, C. D., G. D. Lin, K. Govindaraju, and S. Pirikah. 2017. A simulation study on the correlation structure of Marshall-Olkin bivariate Weibull distribution. Journal of Statistical Computation and Simulation 87 (1):156–70.
  • Marshall, A. W., and I. Olkin. 1997. A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families. Biometrica 84:641–52.
  • Mathai, A. M. 2005. A pathway to matrix-variate gamma and normal densities. Linear Algebra and Its Applications 396:317–28.
  • Mathai, A. M., and H. J. Haubold. 2007a. Pathway model, super statistics, Tsallis statistics and a generalized measure of entropy. Physica A 375:110–22.
  • Mathai, A. M., and H. J. Haubold. 2007b. On generalized entropy measure and pathways. arXiv:math.ST 3 Apr.
  • Picoli, S. Jr., R. S. Mendes, and L. C. Malacarne. 2003. q-exponential, Weibull and q-Weibull distributions: an empirical analysis. Physica A 324:678–88.
  • Santos-Neto, M., M. Bourguignon, L. M. Zea, A. D. C. Nascimento, and G. M. Cordeiro. 2014. The Marshall-Olkin extended Weibull family of distributions. Journal of Statistical Distributions and Applications. https://doi.org/10.1186/2195-5832-1-9
  • Thomas, A., and K. K. Jose. 2003. Marshall-Olkin Pareto process. Far East Journal of Theoretical Statistics 9:117–132.
  • Thomas, A., and K. K. Jose. 2004. Bivariate semi-Pareto minification processes. Metrika 59:305–13.
  • Thomas, A., and K. K. Jose. 2005a. Marshall-Olkin Semi-Weibull minification processes. Recent Advances in Statistical Theory and Applications 1:6–17.
  • Thomas, A., and K. K. Jose. 2005b. Marshall-Olkin logistic processes. STARS Int. Journal 6:1–11.
  • Tsallis, C. 1988. Possible generalizations of Boltzmann-Gibbs statistics. Journal of Statistical Physics 52:479–87.
  • Wilk, G., and Z. Wlodarczyk. 2000. Interpretation of the nonextensivity parameter q in some applications of Tsallis statistics and Levy distributions. Phys. Rev. Lett 84:2770–3.
  • Wilk, G., and Z. Wlodarczyk. 2001. Non-exponential decays and nonextensivity. Physica A 290:55–58.

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