# Evaluation of the synthetic estimators with non-respondent for small domain

## TL;DR

This paper introduces new synthetic estimators to handle non-response in small domains and shows they are more efficient than traditional methods.

## Contribution

The paper proposes a generalized form of synthetic estimators for small domains with non-response and demonstrates their improved efficiency.

## Key findings

- Proposed synthetic estimators are unbiased in specific cases.
- The new estimators outperform traditional ones in small domains.
- Theoretical comparisons confirm higher efficiency using coefficient of variation and kurtosis.

## Abstract

The present work gives generalized form of the class of estimators if unit non-response is acquired in small domains. We have obtained indirect method like synthetic. It has provided specific instances where the proposed estimators are unbiased. It has also given a generalized form of the synthetic estimators. The four estimators were investigated with coefficient of variation and kurtosis constants. Because, these are obtained from the available variable. We conducted atheoretical comparison between traditional and proposed calibration estimators for estimating the domain totals. It found that the proposed estimators are more efficient than traditional estimators for investigate small domains.