Linear Birth-Immigration-Death Migration Models

  • James H. Matis
  • Thomas R. Kiffe
Part of the Lecture Notes in Statistics book series (LNS, volume 145)


Consider now adding births to the previous linear multidimensional models discussed in Chapters 10 and 11. The assumptions are then
  1. 1

    Prob{Xiwill increase by 1 due to immigration{ = I i Δt

  2. 2

    Prob{Xiwill decrease by 1 due to death{=µ i X i Δt

  3. 3

    Prob {Xiwill increase by 1 due to birth{=λ i X i Δt

  4. 4

    Prob{Xiwill increase by 1 and Xjwill decrease by 1 due to migration{= k ij X j Δt for i,j=1,2 with ij



Migration Rate Negative Binomial Multiple Birth Wait Time Distribution Saddlepoint Approximation 
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Copyright information

© Springer-Verlag New York, Inc. 2000

Authors and Affiliations

  • James H. Matis
    • 1
  • Thomas R. Kiffe
    • 2
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

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