A. A. Markov, ses probabilités en chaîne et les statistiques linguistiques
A Bayesian model for binary Markov chains.
A Bayesian significance test of change for correlated observations
This paper presents a Bayesian significance test for a change in mean when observations are not independent. Using a noninformative prior, a unconditional test based on the highest posterior density credible set is determined. From a Gibbs sampler simulation study the effect of correlation on the performance of the Bayesian significance test derived under the assumption of no correlation is examined. This paper is a generalization of earlier studies by KIM (1991) to not independent observations.
A central limit theorem for random fields.
A central limit theorem for triangular arrays of weakly dependent random variables, with applications in statistics
We derive a central limit theorem for triangular arrays of possibly nonstationary random variables satisfying a condition of weak dependence in the sense of Doukhan and Louhichi [Stoch. Proc. Appl. 84 (1999) 313–342]. The proof uses a new variant of the Lindeberg method: the behavior of the partial sums is compared to that of partial sums of dependent Gaussian random variables. We also discuss a few applications in statistics which show that our central limit theorem is tailor-made for statistics...
A Characterization Of Cramér Representation Of Stochastic Processes
A characterization of Cramér representation of stochastic processes.
A Characterization of the Gamma Process by Conditional Moments.
A comparison of cointegration tests
In this paper some of the cointegration tests applied to a single equation are compared. Many of the existent cointegration tests are simply extensions of the unit root tests applied to the residuals of the cointegrating regression and the habitual is no cointegration. However, some non residual-based tests and some tests of the opposite null hypothesis have recently appeared in literature. Monte Carlo simulations have been used for the power comparison of the nine selected tests (, , , ,...
A consumption-investment problem modelled as a discounted Markov decision process
In this paper a problem of consumption and investment is presented as a model of a discounted Markov decision process with discrete-time. In this problem, it is assumed that the wealth is affected by a production function. This assumption gives the investor a chance to increase his wealth before the investment. For the solution of the problem there is established a suitable version of the Euler Equation (EE) which characterizes its optimal policy completely, that is, there are provided conditions...
A contribution to bootstrapping autoregressive processes
A contribution to the parameter estimation of a certain class of dynamical systems
A counting process model of survival of parallel load-sharing system
A system composed from a set of independent and identical parallel units is considered and its resistance (survival) against an increasing load is modelled by a counting process model, in the framework of statistical survival analysis. The objective is to estimate the (nonparametrized) hazard function of the distribution of loads breaking the units of the system (i. e. their breaking strengths), to derive the large sample properties of the estimator, and to propose a goodness-of-fit test. We also...
A dynamic factor model for economic time series
A maximum likelihood estimator of an inhomogeneous Poisson point processes intensity using beta splines
The problem of estimating the intensity of a non-stationary Poisson point process arises in many applications. Besides non parametric solutions, e. g. kernel estimators, parametric methods based on maximum likelihood estimation are of interest. In the present paper we have developed an approach in which the parametric function is represented by two-dimensional beta-splines.
A method of detecting changes in the behaviour of a random sequence based on the Bayes approach
A method of detecting changes in the behaviour of locally stationary sequences
A method of trend recognition in time series
A modification of Sudakov's lemma and efficient sequential plans for some jump Markov processes
A modification of Sudakov's lemma and efficient sequential plans for the Ornstein-Uhlenbeck process