Extended Abstract. The study of truncated parameter space in general is of interest for the following reasons: 1.They often occur in practice. In many cases certain parameter values can be excluded from the parameter space. Nearly all problems in practice have a truncated parameter space and it is most impossible to argue in practice that a parameter is not bounded. In truncated parameter...

A decision theoretic foundation of the maximum likelihood estimation method is provided. In regular parametric models, the maximum likelihood estimator θ̂ is shown to be finite sample efficient for the parameter θ, with respect to the mean squared error of the scores and within a large class C of estimates; C includes for some of these models the unbiased, as well as the equivariant estimators o...

A theoretical analysis of the overall mean squared error (MSE) in hybrid video coding is presented for the case of error prone transmission. The derived model for interframe error propagation includes the eeects of INTRA coding and spatial loop ltering and corresponds to simulation results very accurately. For a given target bit rate, only four parameters are necessary to describe the overall d...

We consider the problem of estimating the parameter p of a Binomial(n, p) distribution when p lies in the symmetric interval about 1/2 of the form [a, 1 − a], with a ∈ (0, 1/2). For a class of loss functions, which includes the important cases of squared error and information-normalized losses, we investigate conditions for which the Bayes estimator, δBU , with respect to a symmetric prior conc...

The present paper proposes a testimation procedure using a preliminary test of significance for the estimation of the error variance for three-way layout to be used for testing a main effect in the random effects model. The risk properties of this testimation procedure have been studied under asymmetric loss function and it is observed through numerical computations that the estimator for error...

This paper address the problem of Bayesian estimation of the parameters, reliability and hazard function in the context of record statistics values from the two-parameter Lomax distribution. The ML and the Bayes estimates based on records are derived for the two unknown parameters and the survival time parameters, reliability and hazard functions. The Bayes estimates are obtained based on conju...