DFR Property of First-Passage Times and its Preservation Under Geometric Compounding
DFR Property of First-Passage Times and its Preservation Under Geometric Compounding
It is shown that if a discrete-time Markov chain on the state space $\{0, 1,\ldots\}$ has a transition probability matrix $\mathbf{P}$ and a transition survival probability matrix $\mathbf{Q}$ which is totally positive of order two $(TP_2)$, where $Q(i, j) = \sum_{k\geq j}P(i, k)$, then the first-passage time from state 1 …