On preservation under univariate weighted distributions

Salman Izadkhah; Mohammad Amini; Gholam Reza Mohtashami Borzadaran

Applications of Mathematics (2015)

  • Volume: 60, Issue: 4, page 453-467
  • ISSN: 0862-7940

Abstract

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We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.

How to cite

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Izadkhah, Salman, Amini, Mohammad, and Mohtashami Borzadaran, Gholam Reza. "On preservation under univariate weighted distributions." Applications of Mathematics 60.4 (2015): 453-467. <http://eudml.org/doc/271628>.

@article{Izadkhah2015,
abstract = {We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.},
author = {Izadkhah, Salman, Amini, Mohammad, Mohtashami Borzadaran, Gholam Reza},
journal = {Applications of Mathematics},
keywords = {weighted distribution; preservation; stochastic ordering; aging classes; weighted distribution; preservation; stochastic ordering; aging classes},
language = {eng},
number = {4},
pages = {453-467},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On preservation under univariate weighted distributions},
url = {http://eudml.org/doc/271628},
volume = {60},
year = {2015},
}

TY - JOUR
AU - Izadkhah, Salman
AU - Amini, Mohammad
AU - Mohtashami Borzadaran, Gholam Reza
TI - On preservation under univariate weighted distributions
JO - Applications of Mathematics
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 453
EP - 467
AB - We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.
LA - eng
KW - weighted distribution; preservation; stochastic ordering; aging classes; weighted distribution; preservation; stochastic ordering; aging classes
UR - http://eudml.org/doc/271628
ER -

References

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  1. Ahmad, I., Kayid, M., 10.1007/s00362-006-0331-x, Stat. Pap. 48 (2007), 283-293. (2007) Zbl1114.60017MR2295816DOI10.1007/s00362-006-0331-x
  2. Barlow, R. E., Proschan, F., Statistical Theory of Reliability and Life Testing, International Series in Decision Processes Holt, Rinehart and Winston, New York (1975). (1975) Zbl0379.62080MR0438625
  3. Bartoszewicz, J., 10.1016/j.spl.2009.04.007, Stat. Probab. Lett. 79 (2009), 1690-1694. (2009) Zbl1170.60009MR2547939DOI10.1016/j.spl.2009.04.007
  4. Bartoszewicz, J., Skolimowska, M., 10.1016/j.spl.2005.09.003, Stat. Probab. Lett. 76 (2006), 587-596. (2006) Zbl1088.62017MR2255787DOI10.1016/j.spl.2005.09.003
  5. Błażej, P., 10.1016/j.spl.2008.05.028, Stat. Probab. Lett. 78 (2008), 3056-3061. (2008) Zbl1158.62010MR2474397DOI10.1016/j.spl.2008.05.028
  6. Izadkhah, S., Rezaei, A. H., Amini, M., Borzadaran, G. R. Mohtashami, 10.1080/03610926.2011.598998, Commun. Stat., Theory Methods 42 (2013), 1899-1909. (2013) MR3045360DOI10.1080/03610926.2011.598998
  7. Izadkhah, S., Roknabadi, A. H. Rezaei, Borzadaran, G. R. Mohtashami, 10.1080/03610926.2011.586484, Commun. Stat., Theory Methods 42 (2013), 838-851. (2013) MR3028980DOI10.1080/03610926.2011.586484
  8. Jain, K., Singh, H., Bagai, I., 10.1080/03610928908830162, Commun. Stat., Theory Methods 18 (1989), 4393-4412. (1989) Zbl0707.62197MR1046715DOI10.1080/03610928908830162
  9. Karlin, S., Total Positivity. Vol. I, Stanford University Press, Stanford, California (1968). (1968) MR0230102
  10. Kochar, S. C., Gupta, R. P., 10.1017/S0269964800000498, Probab. Eng. Inf. Sci. 1 (1987), 417-423. (1987) Zbl1134.60315DOI10.1017/S0269964800000498
  11. Misra, N., Gupta, N., Dhariyal, I. D., 10.1080/03610920701499506, Commun. Stat., Theory Methods 37 (2008), 627-644. (2008) Zbl1136.62065MR2392347DOI10.1080/03610920701499506
  12. Nanda, A. K., Jain, K., 10.1016/S0378-3758(98)00190-6, J. Stat. Plann. Inference 77 (1999), 169-180. (1999) Zbl0924.62018MR1687954DOI10.1016/S0378-3758(98)00190-6
  13. Nanda, A. K., Singh, H., Misra, N., Paul, P., 10.1081/STA-120023264, Commun. Stat., Theory Methods 32 (2003), 2031-2042. (2003) Zbl1156.62360MR2002004DOI10.1081/STA-120023264
  14. Navarro, J., Aguila, Y. del, Ruiz, J. M., 10.1007/s003620100066, Stat. Pap. 42 (2001), 395-402. (2001) MR1860754DOI10.1007/s003620100066
  15. Pakes, A. G., Navarro, J., Ruiz, J. M., Aguila, Y. del, 10.1016/S0378-3758(02)00357-9, J. Stat. Plann. Inference 116 (2003), 389-420. (2003) MR2000091DOI10.1016/S0378-3758(02)00357-9
  16. Patil, G. P., Rao, C. R., 10.2307/2530008, Biometrics 34 (1978), 179-189. (1978) Zbl0384.62014MR0507202DOI10.2307/2530008
  17. Rao, C. R., On discrete distributions arising out of methods of ascertainment, Sankhyā, Ser. A 27 (1965), 311-324. (1965) Zbl0212.21903MR0208736
  18. Shaked, Shanthikumar, J. G., Stochastic Orders, Springer Series in Statistics Springer, New York (2007). (2007) MR2265633

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