Efficient Estimation of Linear Functionals of a Bivariate Distribution with Equal, but Unknown, Marginals: the Least Squares Approach

Efficient Estimation of a Linear Functional of a Bivariate Distribution with Equal, but Unknown, Marginals: the Minimum Chi-square Approach

Estimation of Linear Functionals of Bivariate Distributions with Parametric Marginals

Exact and approximate solutions of fuzzy LR linear systems: New algorithms using a least squares model and the ABS approach

We present a methodology for characterization and an approach for computing the solutions of fuzzy linear systems with LR fuzzy variables. As solutions, notions of exact and approximate solutions are considered. We transform the fuzzy linear system into a corresponding linear crisp system and a constrained least squares problem. If the corresponding crisp system is incompatible, then the fuzzy ...

Efficient estimators for functionals of Markov chains with parametric marginals

Suppose we observe a geometrically ergodic Markov chain with a parametric model for the marginal, but no (further) information about the transition distribution. Then the empirical estimator for a linear functional of the joint law of two successive observations is no longer efficient. We construct an improved estimator and show that it is efficient. The construction is similar to a recent one ...

Application of Recursive Least Squares to Efficient Blunder Detection in Linear Models

In many geodetic applications a large number of observations are being measured to estimate the unknown parameters. The unbiasedness property of the estimated parameters is only ensured if there is no bias (e.g. systematic effect) or falsifying observations, which are also known as outliers. One of the most important steps towards obtaining a coherent analysis for the parameter estimation is th...