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On a probability distribution to study the open birth interval and its application.

R N Mishra, K K Singh, S N Dwivedi

    Janasamkhya
    |June 1, 1986
    PubMed
    Summary

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    This study introduces a new probability distribution to model open birth intervals, accounting for female fecundability variations and infant mortality. The developed model was applied to Indian demographic survey data.

    Area of Science:

    • Demography
    • Biostatistics
    • Reproductive Health

    Background:

    • The length of the open birth interval is a key demographic indicator.
    • Understanding factors influencing birth intervals is crucial for population studies.
    • Existing models may not fully capture individual fecundability variations and infant mortality impacts.

    Purpose of the Study:

    • To derive a probability distribution for open birth interval length.
    • To account for heterogeneity in fecundability among females.
    • To incorporate the occurrence of infant death into the model.

    Main Methods:

    • Derivation of a novel probability distribution for open birth interval.
    • Assumption of variable fecundability across females.
    Keywords:
    AsiaBirth IntervalsData AnalysisDemographic AnalysisDemographic FactorsDeveloping CountriesFecundabilityFertilityFertility MeasurementsIndiaInfant MortalityMethodological StudiesModels, TheoreticalOpen Live-birth IntervalsPopulationPopulation DynamicsProbabilityResearch MethodologySouthern AsiaStatistical StudiesStudies

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  • Inclusion of two birth types: those with and without infant death.
  • Estimation of model parameters using the first two moments.
  • Application of the model to empirical survey data.
  • Main Results:

    • A probability distribution was successfully derived to describe open birth interval variations.
    • The model accounts for individual differences in fecundability.
    • The model incorporates the impact of infant mortality on birth intervals.
    • Parameter estimation methods were established.
    • The model demonstrated applicability to real-world demographic data.

    Conclusions:

    • The developed probability distribution provides a more nuanced approach to modeling open birth intervals.
    • The model's ability to incorporate fecundability and infant mortality enhances its utility in demographic analysis.
    • The study validates the model's application using data from a significant Indian survey.