This example concerns genetic linkage of 197 animals. The animals are distributed into 4 categories: y...

 

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This example concerns genetic linkage of 197 animals. The animals are distributed into 4 categories: y = (yı.y2,y3, y4)= (125, 18, 20,34) with cell probabilities 2+0 1-0 1- 4 4 4 Since the cell probabilities must all be non-negative, we have 0<eS1. Suppose that the prior distri- bution of 0 is Uniform(0, 1). The posterior density of 0 is A(0|y) x (2+0)" (1-0)+ e41[0 € (0,1). Write down an MCMC algorithm to simulate samples from the posterior distributions. This example concerns genetic linkage of 197 animals. The animals are distributed into 4 categories: y = (yı.y2,y3, y4)= (125, 18, 20,34) with cell probabilities 2+0 1-0 1- 4 4 4 Since the cell probabilities must all be non-negative, we have 0<eS1. Suppose that the prior distri- bution of 0 is Uniform(0, 1). The posterior density of 0 is A(0|y) x (2+0)" (1-0)+ e41[0 € (0,1). Write down an MCMC algorithm to simulate samples from the posterior distributions.

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