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A Journal of Theoretical and Applied Statistics
Volume 52, 2018 - Issue 1
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Original Articles

Quantile-based cumulative Kullback–Leibler divergence

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Pages 1-17 | Received 09 Jun 2016, Accepted 27 Apr 2017, Published online: 22 May 2017

References

  • Kullback S, Leibler RA. On information and sufficiency. Ann Math Stat. 1951;22:79–86. doi: 10.1214/aoms/1177729694
  • Baratpour S, Rad AH. Testing Goodness-of-Fit for exponential distribution based on cumulative residual entropy. Commun Stat – Theory Methods. 2012;41:1387–1396. doi: 10.1080/03610926.2010.542857
  • Chamany A, Baratpour S. A dynamic discrimination information based on cumulative residual entropy and its properties. Commun Stat – Theory Methods. 2014;43(6):1041–1049. doi: 10.1080/03610926.2012.729639
  • Park S, Rao M, Shin DW. On cumulative residual Kullback–Leibler information. Stat Probab Lett. 2012;82:2025–2032. doi: 10.1016/j.spl.2012.06.015
  • Di Crescenzo A, Longobardi M. Some properties and applications of cumulative Kullback–Leibler information. Appl Stoch Models Bus Ind. 2015;31:875–891. doi: 10.1002/asmb.2116
  • Sachlas A, Papaioannou T. Residual and past entropy in actuarial science and survival models. Methodol Comput Appl Probab. 2014;16:79–99. doi: 10.1007/s11009-012-9300-0
  • Preda V, Dedu S, Gheorghe C. New classes of Lorenz curves by maximizing Tsallis entropy under mean and Gini equality and inequality constraints. Phys A. 2015;436:925–932. doi: 10.1016/j.physa.2015.05.092
  • Gilchrist W. Statistical modelling with quantile functions. Boca Raton, FL: Chapman and Hall/CRC; 2000.
  • Nair NU, Sankaran PG, Balakrishnan N. Quantile-based reliability analysis. New York: Springer Science+Business Media; 2013. (Statistics for industry and technology).
  • Nair NU, Sankaran PG, Vinesh Kumar B. Modelling lifetimes by quantile functions using Parzen's score function. Statistics. 2012;46:799–811. doi: 10.1080/02331888.2011.555551
  • Nanda AK, Sankaran PG, Sunoj SM. Rényi's residual entropy: a quantile approach. Stat Probab Lett. 2014;85:114–121. doi: 10.1016/j.spl.2013.11.016
  • Parzen E. Nonparametric statistical data modeling. J Amer Statist Assoc. 1979;74:105–121. doi: 10.1080/01621459.1979.10481621
  • Nair NU, Sankaran PG. Quantile based reliability analysis. Commun Stat – Theory Methods. 2009;38:222–232. doi: 10.1080/03610920802187430
  • Sankaran PG, Sunoj SM, Nair NU. Kullback-Leibler divergence: a quantile approach. Stat Probab Lett. 2016;111:72–79. doi: 10.1016/j.spl.2016.01.007
  • Sankaran PG, Sunoj SM. Quantile based cumulative entropies. Commun Stat – Theory Methods. 2016. doi: 10.1080/03610926.2015.1006779.
  • Baratpour S, Rad AH. Exponentiality test based on the progressive type II censoring via cumulative entropy. Commun Stat – Simul Comput. 2016;45(7):2625–2637. doi: 10.1080/03610918.2014.917673.

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