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2022 | 32 | 1 | 97-109

Article title

On the characterisation of X-Lindley distribution by truncated moments. Properties and application

Content

Title variants

Languages of publication

EN

Abstracts

EN
This paper presents the characterisation of X-Lindley distribution using the relation between truncated moment and failure rate/reverse failure rate function. An application of this distribution to real data of survival times (in days) of 92 Algerian individuals infected with coronavirus is given.

Year

Volume

32

Issue

1

Pages

97-109

Physical description

Contributors

author
  • LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000 Algeria
  • Department of Mathematics, University May 8, 1945-Guelma, Algeria
  • Department of Mathematics, University May 8, 1945-Guelma, Algeria

References

  • AHMADI J., DOOSTPARAST M., PARSIAN A., Estimation with left-truncated and right censored data: A comparison study, Stat. Prob. Lett., 2012, 82, 1391–1400.
  • AHSANULLAH M., GHITANY M.E., AL-MUTAIRI D.K., Characterisation of Lindley distribution by truncated moments, Comm. Stat. Theor. Meth., 2017, 46 (12), 6222–6227.
  • AHSANULLAH M., SHAKIL M., GOLAM KIBRIA B.M., Characterisations of continuous distributions by Truncated Moment, J. Mod. Appl. Stat. Meth., 2016, 15 (1), 316–331, DOI: 10.22237/jmasm/1462076160.
  • BEGHRICHE A., ZEGHDOUDI H., A size biased gamma Lindley distribution, Thail. Stat., 2019, 17 (2), 179–189.
  • CHOUIA S., ZEGHDOUDI H., The X-Lindley distribution: Properties and application, J. Stat. Theor. Appl., 2021, 20 (2), 318–327.
  • CHOUIA S., ZEGHDOUDI H., RAMAN V., BEGHRICHE A., A new size biased distribution with application, J. Appl. Prob. Stat., 2021, 16 (1), 111–125.
  • DUCEY M.J., GOVE J.H., Size-biased distributions in the generalized beta distribution family with applications to forestry, Forestry, 2015, 88, 143–151, DOI: 10.1093/forestry/cpu038.
  • GRINE R., ZEGHDOUDI H., On Poisson quasi-Lindley distribution and its applications, J. Mod. Appl. Stat. Meth., 2017, 16 (2), 403–417, DOI. 10.22237/jmasm/1509495660.
  • HASEEB A., YAHIA A.A., Characterisation of general class of distributions by truncated moment, Thail. Stat., 2020, 18 (2), 95–107.
  • NANDA A.K., Characterisations of distributions through failure rate and mean residual life function, Stat. Prob. Lett., 2010, 80, 752–755.
  • SEGHIER F.Z., ZEGHDOUDI H., BENCHAABANE A., A size-biased Poisson-gamma Lindley distribution with application, Eur. J. Stat., 2021, 1 (1), 132–147.
  • SU J.C., HUANG W.J., Characterisations based on conditional expectations, Stat. Pap., 2000, 41, 423–435

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-94bfa21c-9193-4efa-bc93-149ac905bc26
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