Estimation procedures for nonstationary Markov chains appear to be relatively sparse. This work introduces empirical  Bayes estimators  for the transition probability  matrix of a finite nonstationary  Markov chain. The data are assumed to be of  a panel study type in which each data set consists of a sequence of observations on N>=2 independent and identically dis...

kefiran is an exopolysaccharide produced by microorganisms present in the kefir grains that has several health promoting properties. in this research, physico-mechanical and thermal characteristics of nanocomposite film composed of kefiran-montmorillonite (mmt; 1, 3 and 5% w/w) were studied. results showed that the thickness and the tensile strength of the films increased by increasing the nano...

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

 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...

Europium doped transparent lead fluorophosphate glass ceramics successfully were prepared with heat treatment of precourse glasses at temperature above glass transition (Tg). X-ray diffraction (XRD) experiment evidenced the formation of PbF2 nanocrystals in glassy matrix. The emission spectra investigation indicate that considerable amount of Eu3+ ions were trapped in crystalline phase, and the...

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 ...