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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 this paper we have suggested two classes of estimators for population median M_Y of the study character Y using information on two auxiliary characters X and Z in double sampling. It has been shown that the suggested classes of…

Probability · Mathematics 2007-05-23 Jack Allen , Housila P. Singh , Sarjinder Singh , Florentin Smarandache

This paper proposes an estimation framework to assess the performance of sorting over perturbed/noisy data. In particular, the recovering accuracy is measured in terms of Minimum Mean Square Error (MMSE) between the values of the sorting…

Information Theory · Computer Science 2019-09-04 Alex Dytso , Martina Cardone , H. Vincent Poor

This study proposes improved chain-ratio type estimator for estimating population mean using some known values of population parameter(s) of the second auxiliary character. The proposed estimators have been compared with two-phase ratio…

General Mathematics · Mathematics 2008-10-14 Rajesh Singh , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache

Estimation using pooled sampling has long been an area of interest in the group testing literature. Such research has focused primarily on the assumed use of fixed sampling plans (i), although some recent papers have suggested alternative…

Statistics Theory · Mathematics 2017-03-27 Gregory Haber , Yaakov Malinovsky , Paul Albert

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

Methodology · Statistics 2022-10-25 Yanghyeon Cho , Emily Berg

The era of big data is coming, and evidence-based medicine is attracting increasing attention to improve decision making in medical practice via integrating evidence from well designed and conducted clinical research. Meta-analysis is a…

Methodology · Statistics 2016-10-05 Dehui Luo , Xiang Wan , Jiming Liu , Tiejun Tong

In this paper, a new modification of ranked set sampling (RSS) is suggested, namely; unified ranked set sampling (URSS) for estimating the population mean and variance. The performance of the empirical mean and variance estimators based on…

Methodology · Statistics 2015-10-07 Ehsan Zamanzade , Amer Ibrahim Al-Omari

In this paper, we propose a transformed na\"ive ratio and product based estimators using the characterizing scalar in presence of auxiliary information of the study variable for estimating the population mode following simple random…

Methodology · Statistics 2019-07-02 Sanjay Kumar , Nirmal Tiwari

This paper deals with the problem of estimating the finite population mean when some information on two auxiliary attributes are available. It is shown that the proposed estimator is more efficient than the usual mean estimator and other…

Statistics Theory · Mathematics 2013-02-08 Sachin Malik , Rajesh Singh

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

The problem of estimation of the proportion of units with a given attribute in a~finite population is considered. From the population a sample is drawn due to the simple random sampling without replacement. There are limited funds for…

Statistics Theory · Mathematics 2019-03-26 Dominik Sieradzki , Wojciech Zieliński

Sample surveys are widely used to obtain information about totals, means, medians, and other parameters of finite populations. In many applications, similar information is desired for subpopulations such as individuals in specific…

Methodology · Statistics 2017-05-30 Jiahua Chen , Yukun Liu

Subsampling is a computationally efficient and scalable method to draw inference in large data settings based on a subset of the data rather than needing to consider the whole dataset. When employing subsampling techniques, a crucial…

Methodology · Statistics 2025-10-08 Amalan Mahendran , Helen Thompson , James M. McGree

In many randomized trials, outcomes such as essays or open-ended responses must be manually scored as a preliminary step to impact analysis, a process that is costly and limiting. Model-assisted estimation offers a way to combine surrogate…

Methodology · Statistics 2026-02-16 Reagan Mozer , Nicole E. Pashley , Luke Miratrix

We develop constrained Bayesian estimation methods for small area problems: those requiring smoothness with respect to similarity across areas, such as geographic proximity or clustering by covariates; and benchmarking constraints,…

Methodology · Statistics 2014-10-28 Rebecca C. Steorts

In data-driven learning and inference tasks, the high cost of acquiring samples from the target distribution often limits performance. A common strategy to mitigate this challenge is to augment the limited target samples with data from a…

Statistics Theory · Mathematics 2025-02-06 Barron Han , Danil Akhtiamov , Reza Ghane , Babak Hassibi

The present paper discusses the problem of estimating the finite population mean of study variable in simple random sampling in the presence of non response and response error together. The estimators in this article use auxiliary…

Methodology · Statistics 2014-04-08 Prayas Sharma , Rajesh Singh

We consider benchmarked empirical Bayes (EB) estimators under the basic area-level model of Fay and Herriot while requiring the standard benchmarking constraint. In this paper we determine the excess mean squared error (MSE) from…

Methodology · Statistics 2013-04-08 Rebecca C. Steorts , Malay Ghosh

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