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Impact of Heterogeneity on Closed and Open Birth Intervals

Author

Listed:
  • Anup Kumar

    (SGPGIMS)

  • R. C. Yadava

    (Banaras Hindu University)

Abstract

Vast literature is available where modelling for duration between ith and (i + 1)th births has been done. Apart from other considerations these models assume that consecutive birth intervals are independently distributed. This assumption may be quite reasonable if the population of females is homogeneous with respect to fertility parameters involved in the model. However, if population is heterogeneous with respect to these parameters, then the consecutive intervals are likely to be dependent. The behaviour of closed and open birth intervals under the condition of heterogeneity in the population with respect to certain fertility parameters is investigated.

Suggested Citation

  • Anup Kumar & R. C. Yadava, 2019. "Impact of Heterogeneity on Closed and Open Birth Intervals," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(2), pages 289-301, December.
    • Handle: RePEc:spr:sankhb:v:81:y:2019:i:2:d:10.1007_s13571-018-0166-1
    DOI: 10.1007/s13571-018-0166-1
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    References listed on IDEAS

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    1. Yadava, R.C. & Kumar, Anup & Srivastava, U., 2013. "Sex ratio at birth: A model based approach," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 36-39.
    2. Arvind Pandey & S. N. Dwivedi & R. N. Mishra, 1998. "A stochastic model for the study of last closed birth interval with some biosocial components," Mathematical Population Studies, Taylor & Francis Journals, vol. 7(1), pages 1-27.
    3. K. Srinivasan, 1968. "A set of analytical models for the study of open birth intervals," Demography, Springer;Population Association of America (PAA), vol. 5(1), pages 34-44, March.
    4. Shankar Dihidar, 2012. "Distribution of Closed Birth Intervals in a Heterogeneous Population," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(3), pages 130-146, July.
    5. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
    6. Anatoli Yashin & Ivan Iachine, 1997. "How frailty models can be used for evaluating longevity limits: Taking advantage of an interdisciplinary approach," Demography, Springer;Population Association of America (PAA), vol. 34(1), pages 31-48, February.
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