Estimating smooth distribution function in the presence of heteroscedastic measurement errors

Estimating smooth distribution function in the presence of heteroscedastic measurement errors

Measurement error occurs in many biomedical fields. The challenges arise when errors are heteroscedastic since we literally have only one observation for each error distribution. This paper concerns the estimation of smooth distribution function when data are contaminated with heteroscedastic errors. We study two types of methods to recover the unknown distribution function: a Fourier-type deco...

Estimating and Clustering Curves in the Presence of Heteroscedastic Errors

The technique introduced in this paper is a means for estimating and discovering underlying patterns for a large number of curves observed with heteroscedastic errors. Therefore, both the mean and the variance functions of each curve are assumed unknown and varying over time. The method consists of a series of steps. We transform using an orthonormal basis of functions in L2. In the transform d...

Modeling of Heteroscedastic Measurement Errors

Bayesian semiparametric regression in the presence of conditionally heteroscedastic measurement and regression errors.

We consider the problem of robust estimation of the regression relationship between a response and a covariate based on sample in which precise measurements on the covariate are not available but error-prone surrogates for the unobserved covariate are available for each sampled unit. Existing methods often make restrictive and unrealistic assumptions about the density of the covariate and the d...

collocation errors in translations of the holy quran

the present study aims at identifying, classifying and analyzing collocation errors made by translators of the holy quran into english.findings indicated that collocationally the most acceptablt translation was done by ivring but the least appropriate one made by pickthall.