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1.64. Wright-Fisher model. Consider the chain described in Example 1.7. p(x,y)=(Ny)(x)y(1x)Ny
where x=(1u)x/N+v(Nx)/N. (a) Show that if u,v>0, then nlimpn(x,y)=(y), where is the unique
stationary distribution. There is no known formula for (y), but you can (b) compute the mean v=yy(
y)= nlimExXn

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164 WrightFisher model Consider the chain described in E.pdf

  • 1. 1.64. Wright-Fisher model. Consider the chain described in Example 1.7. p(x,y)=(Ny)(x)y(1x)Ny where x=(1u)x/N+v(Nx)/N. (a) Show that if u,v>0, then nlimpn(x,y)=(y), where is the unique stationary distribution. There is no known formula for (y), but you can (b) compute the mean v=yy( y)= nlimExXn