The asymptotic composition of supercritical, multi-type branching populations

Peter Jagers; Olle Nerman

Séminaire de probabilités de Strasbourg (1996)

  • Volume: 30, page 40-54

How to cite

top

Jagers, Peter, and Nerman, Olle. "The asymptotic composition of supercritical, multi-type branching populations." Séminaire de probabilités de Strasbourg 30 (1996): 40-54. <http://eudml.org/doc/113942>.

@article{Jagers1996,
author = {Jagers, Peter, Nerman, Olle},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {stable age distribution; branching population; Markov renewal type process},
language = {fre},
pages = {40-54},
publisher = {Springer - Lecture Notes in Mathematics},
title = {The asymptotic composition of supercritical, multi-type branching populations},
url = {http://eudml.org/doc/113942},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Jagers, Peter
AU - Nerman, Olle
TI - The asymptotic composition of supercritical, multi-type branching populations
JO - Séminaire de probabilités de Strasbourg
PY - 1996
PB - Springer - Lecture Notes in Mathematics
VL - 30
SP - 40
EP - 54
LA - fre
KW - stable age distribution; branching population; Markov renewal type process
UR - http://eudml.org/doc/113942
ER -

References

top
  1. 1. Aldous, D. (1991). Asymptotic fringe distributions for general families of random trees. Ann. Appl. Prob.1228-266. Zbl0733.60016MR1102319
  2. 2. Chauvin, B. (1986). Arbres et processus de Bellman-Harris. Ann. Inst. H. Poincaré22, 199-207. Zbl0597.60078MR850756
  3. 3. Cohn, H. and Jagers, P. (1994) General branching processes in varying environment. Ann. Appl. Prob.4184-193. Zbl0807.60078MR1258179
  4. 4. Euler, L.Recherches génemles sur la mortalité et la multiplication du genre humain. In: Histoire de l'Académie Royale des Sciences et Belles-Lettres 1760 (Berlin1767), 144-164. 
  5. 5. Jagers, P. (1975) Branching Processes with Biological Applications. J. Wiley & Sons, Chichester etc.. Zbl0356.60039
  6. 6. Jagers, P. (1989) General branching processes as Markov fields. Stoch. Proc. Appl.32183-242. Zbl0678.92009MR1014449
  7. 7. Jagers, P. (1991) The growth and stabilization of populations. Statist. Sci.6269-283. Zbl0955.60535MR1144241
  8. 8. Jagers, P. (1992) Stabilities and instabilities in population dynamics. J. Appl. Prob.29. Zbl0769.60079MR1188534
  9. 9. Jagers, P. and Nerman, O. (1984) The growth and composition of branching populations. Adv. Appl. Prob.16221-259. Zbl0535.60075MR742953
  10. 10. Nerman, O. (1984) The Growth and Composition of Supercritical Branching Populations on General Type Spaces. Dep. Mathematics, Chalmers U. Tech. and Gothenburg U. 1984-4. 
  11. 11. Nerman, O. and Jagers, P. (1984) The stable doubly infinite pedigree process of supercritical branching populations. Z. Wahrscheinlichkeitstheorie verw. Gebiete64445-460. Zbl0506.60084MR731231
  12. 12. Neveu, J. (1986) Arbres et processus de Galton-Watson. Ann. Inst. H. Poincaré22199-207. Zbl0601.60082MR850756
  13. 13. Niemi, S. and Nummelin, E. (1986) On non-singular renewal kernels with an application to a semigroup of transition kernels. Stoch. Proc. Appl.22177-202. Zbl0606.60080MR860932
  14. 14. Nummelin, E. (1984) General Ireducible Markov Chains and Non-negative Operators. Cambridge University Press, Cambridge. Zbl0551.60066MR776608
  15. 15. Shurenkov, V.M. (1984) On the theory of Markov renewal. Theory Prob. Appl.29247-265. Zbl0557.60078MR749913
  16. 16. Shurenkov, V.M. (1989) Ergodicheskie protsessy Markova. Nauka, Moscow. Zbl0687.60065MR1087782

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.