The probable lack of some arcs and nodes in the stochastic networks is considered in this paper, and its effect is shown as the arrival probability from a given source node to a given sink node. A discrete time Markov chain with an absorbing state is established in a directed acyclic network. Then, the probability of transition from the initial state to the absorbing state is computed. It is as...

OBJECTIVE To investigate the relevance of serum topiramate (TPM) levels (SL) monitoring in the clinical management of epileptic patients. METHODS Twenty-seven patients with different epileptic syndromes on TPM therapy were studied. TPM was used as add-on in 26 patients, only in one as monotherapy de novo; one case changed from TPM as add-on to TPM monotherapy. The mean follow-up time was 11 m...

Let S be a denumerable state space and let P be a transition probability matrix on S. If a denumerable set M of nonnegative matrices is such that the sum of the matrices is equal to P , then we call M a partition of P . Let K denote the set of probability vectors on S. To every partition M of P we can associate a transition probability function PM on K defined in such a way that if p ∈ K and M ...

This note presents the explicit form of the Laplace transform of the state transition matrix in the case of a system matrix being a companion matrix. Starting from this special case, we show how to compute the Laplace transform of the state transition matrix for any system matrix.1

In this paper, the electrical characteristics and sensitivity analysis of staggered type p-channel heterojunction electron-hole bilayer tunnel field effect transistor (HJ-EHBTFET) are thoroughly investigated via simulation study. The minimum lattice mismatch between InAs/GaAs0.1Sb0.9 layers besides low carrier effective mass of materials provides high probability ...

in this paper occurrences of precipitation in iran was analyzed according to random processes by the applying of markov chain model. in order to do that occurrence and non-occurrence of rainfall of asfezari data base for the period of 1961/3/21 to 2004/12/31 was used. this data are for 7187 pixel and 15991 days. by using markov chain model first order two state dry and wet frequency matrix was ...

Internetware system are widely used in the chemical and pharmaceutical industry, effective acquisition of transition probability matrix is directly related to internetware reliability computation based on Markov chain model. The construction of Markov chain and the acquisition of transition probability of internetware are studied; the Markov chain of internetware reliability is constructed. Tra...

A transition probability Pij corresponds to the probability that the state at time step t+1 will be j, given that the state at time t is i. Therefore, each row in the matrix M is a distribution and ∀i, j ∈ SPij ≥ 0 and ∑ j Pij = 1. Let the initial distribution be given by the row vector x ∈ R, xi ≥ 0 and ∑ i xi = 1. After one step, the new distribution is xM. It is easy to see that xM is again ...