Empirical measures for incomplete data with applications

Empirical Bayes Estimators with Uncertainty Measures for NEF-QVF Populations

The paper proposes empirical Bayes (EB) estimators for simultaneous estimation of means in the natural exponential family (NEF) with quadratic variance functions (QVF) models. Morris (1982, 1983a) characterized the NEF-QVF distributions which include among others the binomial, Poisson and normal distributions. In addition to the EB estimators, we provide approximations to the MSE’s of t...

Gmm and Empirical Likelihood with Incomplete Data

In applied work economists often encounter data generating mechanisms that produce censored or truncated observations. These dgp’s induce a probability distribution on the realized observations that differs from the underlying distribution for which inference is to be made. If this dichotomy between the target and realized populations is not taken into account, statistical inference can be seve...

Image Reconstruction from Incomplete Data

Image Reconstruction from Incomplete Data

SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS

In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similar...