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A probability distribution for out-migration.

H L Sharma

    Janasamkhya
    |December 1, 1987
    PubMed
    Summary
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    This study introduces an inflated generalized Poisson distribution to analyze out-migration trends. The proposed statistical model was fitted to survey data, providing insights into population movements.

    Area of Science:

    • Demography
    • Statistical Modeling
    • Population Studies

    Background:

    • Understanding out-migration patterns is crucial for regional development planning.
    • Traditional statistical models may not adequately capture the complexities of migration data.
    • The need for robust statistical tools to analyze population dynamics and migration trends.

    Purpose of the Study:

    • To propose and evaluate an inflated generalized Poisson distribution for modeling out-migration.
    • To estimate model parameters using both the method of moments and maximum likelihood estimation.
    • To derive asymptotic expressions for the variance and covariance of maximum likelihood estimates.

    Main Methods:

    • Development of an inflated generalized Poisson distribution model.
    Keywords:
    AsiaDemographic FactorsDeveloping CountriesEstimation TechnicsIndiaMethodological StudiesMigrationPopulationPopulation DynamicsResearch MethodologySouthern Asia

    Related Experiment Videos

  • Parameter estimation using the method of moments.
  • Parameter estimation using the maximum likelihood method.
  • Derivation of asymptotic properties of estimators.

    • Main Results:

    • The inflated generalized Poisson distribution was successfully fitted to out-migration data.
    • Parameter estimation provided insights into migration trends.
    • Asymptotic expressions for variance and covariance were obtained for maximum likelihood estimates.
    • The model's efficacy was demonstrated using empirical data from Varanasi, India.

    Conclusions:

    • The inflated generalized Poisson distribution offers a viable approach for studying out-migration trends.
    • The method of moments and maximum likelihood estimation are effective for parameter estimation.
    • The derived asymptotic properties are valuable for statistical inference in migration studies.