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Consider the aging chain on {0, 1, 2………} in which for any n ≥ 0 the individual gets one day…


Consider the aging chain on {0, 1, 2………} in which for any n ≥ 0 the individual gets one day older from n to n+1 with probability pn but dies and returns to age 0 with probability 1 – pn. Find conditions that guarantee that (a) 0 is recurrent, (b) positive recurrent. (c) Find the stationary distribution.