Unbiased Testing in Exponential Family Regression

Spatial Correlation Testing for Errors in Panel Data Regression Model

To investigate the spatial error correlation in panel regression models, various statistical hypothesizes and testings have been proposed. This paper, within introduction to spatial panel data regression model, existence of spatial error correlation and random effects is investigated by a joint Lagrange Multiplier test, which simultaneously tests their existence. For this purpose, joint Lagrang...

Nonparametric Regression in Exponential Families

Most results in nonparametric regression theory are developed only for the case of additive noise. In such a setting many smoothing techniques including wavelet thresholding methods have been developed and shown to be highly adaptive. In this paper we consider nonparametric regression in exponential families which include, for example, Poisson regression, binomial regression, and gamma regressi...

Review of the Applications of Exponential Family in Statistical Inference

‎In this paper‎, ‎after introducing exponential family and a history of work done by researchers in the field of statistics‎, ‎some applications of this family in statistical inference especially in estimation problem‎,‎statistical hypothesis testing and statistical information theory concepts will be discussed‎.

Competing statistics in exponential family regression models under certain shape constraints

We study a number of competing statistics for estimating the regression function in a family of conditionally parametric response models where, given a continuous covariate, the distribution of the response comes from a full rank exponential family with the parameter (which is in one to one correspondence with the conditional mean) being a shape constrained function of the covariate. Monotonici...

Regression under Shape Constraints in a a Full Rank Exponential Family