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Consider the problem of estimating a weighted average of the means of $n$ strata, based on a random sample with realized $K_i$ observations from stratum $i, \; i=1,...,n$. This task is non-trivial in cases where for a significant portion of…

Statistics Theory · Mathematics 2019-11-21 Eitan Greenshtein , Ya'acov Ritov

The Horvitz-Thompson (HT) estimator is widely used in survey sampling. However, the variance of the HT estimator becomes large when the inclusion probabilities are highly heterogeneous. To overcome this shortcoming, in this paper, a…

Methodology · Statistics 2018-04-13 Xianpeng Zong , Rong Zhu , Guohua Zou

We propose a two parameter ratio-product-ratio estimator for a finite population mean in a simple random sample without replacement following the methodology in Ray and Sahai (1980), Sahai and Ray (1980), Sahai and Sahai (1985) and Singh…

Statistics Theory · Mathematics 2013-07-23 Peter S. Chami , Bernd Sing , Doneal Thomas

We propose a general semi-supervised inference framework focused on the estimation of the population mean. As usual in semi-supervised settings, there exists an unlabeled sample of covariate vectors and a labeled sample consisting of…

Methodology · Statistics 2018-08-15 Anru Zhang , Lawrence D. Brown , T. Tony Cai

We investigate the use of a stratified sampling approach for LIME Image, a popular model-agnostic explainable AI method for computer vision tasks, in order to reduce the artifacts generated by typical Monte Carlo sampling. Such artifacts…

Artificial Intelligence · Computer Science 2024-03-27 Muhammad Rashid , Elvio G. Amparore , Enrico Ferrari , Damiano Verda

When reporting the results of clinical studies, some researchers may choose the five-number summary (including the sample median, the first and third quartiles, and the minimum and maximum values) rather than the sample mean and standard…

Methodology · Statistics 2020-06-18 Jiandong Shi , Dehui Luo , Hong Weng , Xian-Tao Zeng , Lu Lin , Haitao Chu , Tiejun Tong

We review the alternative proposals introduced recently in the literature to update the standard formula to estimate the uncertainty on the mean of repeated measurements, and we compare their performances on synthetic examples with normal…

Data Analysis, Statistics and Probability · Physics 2022-09-13 Pascal Pernot , Jean-Paul Berthet

We consider methods for transporting a prediction model and assessing its performance for use in a new target population, when outcome and covariate information for model development is available from a simple random sample from the source…

Applications · Statistics 2021-04-15 Jon A. Steingrimsson , Constantine Gatsonis , Issa J. Dahabreh

The proliferation of science and technology has led to the prevalence of voluminous data sets that are distributed across multiple machines. It is an established fact that conventional statistical methodologies may be unfeasible in the…

Statistics Theory · Mathematics 2023-10-24 Lu Yan , Jiang Hu

Several well known estimators of finite population mean and its functions are investigated under some standard sampling designs. Such functions of mean include the variance, the correlation coefficient and the regression coefficient in the…

Statistics Theory · Mathematics 2023-05-25 Anurag Dey , Probal Chaudhuri

A prevailing challenge in the biomedical and social sciences is to estimate a population mean from a sample obtained with unknown selection probabilities. Using a well-known ratio estimator, Aronow and Lee (2013) proposed a method for…

Statistics Theory · Mathematics 2017-06-26 Luke W. Miratrix , Stefan Wager , Jose R. Zubizarreta

An empirical best linear unbiased prediction (EBLUP) estimator is utilized for efficient inference in small-area estimation. To measure its uncertainty, we need to estimate its mean squared error (MSE) since the true MSE cannot generally be…

Methodology · Statistics 2016-12-14 Masayo Yoshimori Hirose

We proposed new and more efficient estimators for estimating population proportion of respondents belonging to two related sensitive attributes in survey sampling by extending the work of Mangat (1994). Our proposed estimators are more…

Methodology · Statistics 2016-01-05 Olusegun S. Ewemooje , Godwin N. Amahia

This paper investigates the efficiency of an alternative to ratio estimator under the super population model with uncorrelated errors and a gamma-distributed auxiliary variable. Comparisons with usual ratio and unbiased estimators are also…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , F. Kaymram , Housila P. Singh , Rajesh Singh , Florentin Smarandache

In situations where the sampling units in a study can be more easily ranked based on the measurement of an auxiliary variable, ranked set sampling provide unbiased estimators for the mean of a population that they are more efficient than…

Statistics Theory · Mathematics 2014-05-13 Saeid Tahmasebi , Ali Akbar Jafari

Administrative data, or non-probability sample data, are increasingly being used to obtain official statistics due to their many benefits over survey methods. In particular, they are less costly, provide a larger sample size, and are not…

Methodology · Statistics 2021-03-30 Asma Bahamyirou , Mireille E. Schnitzer

In systematic reviews and meta-analysis, researchers often pool the results of the sample mean and standard deviation from a set of similar clinical trials. A number of the trials, however, reported the study using the median, the minimum…

Methodology · Statistics 2016-10-06 Xiang Wan , Wenqian Wang , Jiming Liu , Tiejun Tong

This paper considers the problem of design-based inference for the average treatment effect in finely stratified experiments. Here, by "design-based'' we mean that the only source of uncertainty stems from the randomness in treatment…

Econometrics · Economics 2025-05-08 Yuehao Bai , Xun Huang , Joseph P. Romano , Azeem M. Shaikh , Max Tabord-Meehan

State estimation is a classical problem in quantum information. In optimization of estimation scheme, to find a lower bound to the error of the estimator is a very important step. So far, all the proposed tractable lower bounds use…

Quantum Physics · Physics 2007-05-23 Yoshiyuki Tsuda , Keiji Matsumoto

In survey statistics, the usual technique for estimating a population total consists in summing appropriately weighted variable values for the units in the sample. Different weighting systems exit: sampling weights, GREG weights or…

Methodology · Statistics 2012-01-09 François Coquet , Éric Lesage
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