This paper is about the existence and regularity of the transition probability matrix of a nonhomogeneous continuous-time Markov process with a countable state space. A standard approach to prove the existence of such a transition matrix is to begin with a continuous (in t) and conservative matrix Q(t) = [qij(t)] of nonhomogeneous transition rates qij(t), and use it to construct the transition ...

drought is one of the most important weather-induced phenomena which may have severe impacts on different areas such as agriculture, economy, energy production, and society. a number of drought indices have been introduced and used in various countries to date. in the current study, four meteorological drought indices including percent of normal precipitation index (pnpi), standard index of ann...

a series of polystyrene hybrid nanocomposites have been fabricated with varying amounts of tio2 viz., 0, 0.5 and 1 % w/w along with 3% ts by in-situ polymerization method. the influence of surface modified tio2 nanoparticles on the thermal properties of ps matrix was examined using thermogravimetry and differential scanning calorimetry. thermal characteristics of the polystyrene/ts/tio2 hybrid ...

this paper addresses the annealing temperature effect on nanostructure and phase transition of copper oxide thin films, deposited by pvd method on glass substrate (at 110 nm thickness) and post annealed at different temperatures (200-400°c) with a flow of 1 cm3s-1 oxygen. the x-ray diffraction (xrd) was employed for crystallographic and phase analyses, while atomic force microscopy (afm) was us...

 This paper is concerned with deriving, using logistic and Markov chain theoretic methodologies, a transition matrix for a multi-echelon educational system. The explanatory variables of the logistic model are the school differential variables, and the transition matrix of the Markov chain is the non-homogeneous empirical transition matrix (NHETM). We compare the NHETM with the periodically upd...

Detailed modeling of a grinding mill can be achieved through Markov chain models without involving lengthy computations. However, estimation of the key parameters of the model, elements of the Markov transition matrix, using observable quantities is not trivial. This powerful modeling tool can find wide applicability in operation and control of industrial mills if this set of parameters can be ...