A three-state Markov model is represented by the following transition diagram: Healthy Hx+1 a stl PX+1...

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A three-state Markov model is represented by the following transition diagram: Healthy Hx+1 a Østl PX+1 Dead The symbols Ox+r. Px+ Mx+ and U+1 represent the forces of transition at age x+1, where x is an integer and 0<t<1. The symbolp, i= H,S,D, represents the probability that a life, who is in state i at age x, remains in state i until at least age x+1. (i) (ii) Write down the assumptions that are usually made when applying this model. Derive the differential equation: HH HH PP² (0+1 + H₂+1) HH Px and write down the relevant initial condition. =el(+μ) (iii) If ox+1=0 and x = for all 0≤t<1, show that: Sick Vx+1 A three-state Markov model is represented by the following transition diagram: Healthy Hx+1 a Østl PX+1 Dead The symbols Ox+r. Px+ Mx+ and U+1 represent the forces of transition at age x+1, where x is an integer and 0<t<1. The symbolp, i= H,S,D, represents the probability that a life, who is in state i at age x, remains in state i until at least age x+1. (i) (ii) Write down the assumptions that are usually made when applying this model. Derive the differential equation: HH HH PP² (0+1 + H₂+1) HH Px and write down the relevant initial condition. =el(+μ) (iii) If ox+1=0 and x = for all 0≤t<1, show that: Sick Vx+1

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i The assumptions made in a threestate Markov model are The transition probabilities are timeho... View the full answer