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On the Two Oldest Families for the Wright-Fisher Process

   
@article{EJP771,
	author = {Jean-François Delmas and Jean-Stéphane Dhersin and Arno Siri-Jegousse},
	title = {On the Two Oldest Families for the Wright-Fisher Process},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Wright-Fisher diffusion, MRCA, Kingman coalescent tree, resurrected process, quasi-stationary distribution},
	abstract = {We extend some of the results of Pfaffelhuber and Wakolbinger on the  process of the most recent common ancestors in evolving coalescent by  taking into account the size of one of the two oldest families or the  oldest family which contains the immortal line of descent. For  example we give an explicit formula for the Laplace transform of the  extinction time for the Wright-Fisher diffusion. We give also an  interpretation of the quasi-stationary distribution of the  Wright-Fisher diffusion using the process of the relative size of one  of the two oldest families, which can be seen as a resurrected  Wright-Fisher diffusion.},
	pages = {no. 26, 776-800},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-771},    
        url = {http://ejp.ejpecp.org/article/view/771}}