English
Related papers

Related papers: Improvement in Estimating Population Mean using Tw…

200 papers

Two-phase sampling is commonly adopted for reducing cost and improving estimation efficiency. In many two-phase studies, the outcome and some cheap covariates are observed for a large sample in Phase I, and expensive covariates are obtained…

Methodology · Statistics 2025-10-14 Qingning Zhou , Kin Yau Wong

In this paper we have proposed an almost unbiased estimator using known value of some population parameter(s). A class of estimators is defined which includes Singh and Solanki [1] and Sahai and Ray [2], Sisodia and Dwivedi [3], Singh et.…

Applications · Statistics 2014-05-19 Rajesh Singh , S. B. Gupta , Sachin Malik

A general rate estimation method is proposed that is based on studying the in-sample evolution of appropriately chosen diverging/converging statistics. The proposed rate estimators are based on simple least squares arguments, and are shown…

Statistics Theory · Mathematics 2009-09-29 Tucker McElroy , Dimitris N. Politis

This paper presents a family of dual to ratio-cum-product estimators for the finite population mean. Under simple random sampling without replacement (SRSWOR) scheme, expressions of the bias and mean-squared error (MSE) up to the first…

Methodology · Statistics 2013-06-03 Rajesh Singh , Mukesh Kumar , P. Chauhan , N. Sawan , S. Florentin

We consider likelihood-based two-step estimation of latent variable models, in which just the measurement model is estimated in the first step and the measurement parameters are then fixed at their estimated values in the second step where…

Methodology · Statistics 2025-08-26 Jouni Kuha , Zsuzsa Bakk

This paper proposes a Bayesian method for estimating the parameters of a normal distribution when only limited summary statistics (sample mean, minimum, maximum, and sample size) are available. To estimate the parameters of a normal…

Methodology · Statistics 2024-11-21 Tomoki Matsumoto

Self-selected samples are frequently obtained due to different levels of survey participation propensity of the survey individuals. When the survey participation is related to the survey topic of interest, propensity score weighting…

Applications · Statistics 2014-11-24 Sixia Chen , Jae-Kwang Kim

Modern statistical analysis often encounters high-dimensional problems but with a limited sample size. It poses great challenges to traditional statistical estimation methods. In this work, we adopt auxiliary learning to solve the…

Statistics Theory · Mathematics 2025-01-08 Hanchao Yan , Feifei Wang , Chuanxin Xia , Hansheng Wang

A new way to design parameter estimators with enhanced performance is proposed in the paper. The procedure consists of two stages, first, the generation of new regression forms via the application of a dynamic operator to the original…

Systems and Control · Computer Science 2020-01-22 Aranovskiy Stanislav , Bobtsov Alexey , Ortega Romeo , Pyrkin Anton

We use bias-reduced estimators of high quantiles, of heavy-tailed distributions, to introduce a new estimator of the mean in the case of infinite second moment. The asymptotic normality of the proposed estimator is established and checked,…

Methodology · Statistics 2014-05-09 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir , Djabrane Yahia

In this paper, we develop a multistage approach for estimating the mean of a bounded variable. We first focus on the multistage estimation of a binomial parameter and then generalize the estimation methods to the case of general bounded…

Statistics Theory · Mathematics 2009-04-27 Xinjia Chen

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

The problem of estimating a proportion of objects with particular attribute in a finite population is considered. This paper shows an example of the application of estimation fraction using new proposed sample allocation in a population…

Applications · Statistics 2019-03-19 Dominik Sieradzki , Wojciech Zieliński

Model-assisted estimation with complex survey data is an important practical problem in survey sampling. When there are many auxiliary variables, selecting significant variables associated with the study variable would be necessary to…

Methodology · Statistics 2020-04-01 Shonosuke Sugasawa , Jae Kwang Kim

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

Methodology · Statistics 2020-05-20 Li-Chun Zhang

Two-phase designs involve measuring extra variables on a subset of the cohort where some variables are already measured. The goal of two-phase designs is to choose a subsample of individuals from the cohort and analyse that subsample…

Applications · Statistics 2020-10-12 Tong Chen , Thomas Lumley

The paper proposes some robust estimators of the finite population mean. Such estimators are particularly suitable in the presence of some outlying observations. Included as special cases of our general result are robust versions of the…

Statistics Theory · Mathematics 2008-12-18 Malay Ghosh

We propose a two-step estimator for multilevel latent class analysis (LCA) with covariates. The measurement model for observed items is estimated in its first step, and in the second step covariates are added in the model, keeping the…

Methodology · Statistics 2025-01-08 Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

This paper takes into account the estimation for the two unknown parameters of the Chen distribution with bathtub-shape hazard rate function under the improved adaptive Type-II progressive censored data. Maximum likelihood estimation for…

Statistics Theory · Mathematics 2023-04-04 Li Zhang

We study ratio metrics in A/B testing at the presence of correlation among observations coming from the same user and provides practical guidance especially when two metrics contradict each other. We propose new estimating methods to…

Applications · Statistics 2020-07-24 Keyu Nie , Yinfei Kong , Ted Tao Yuan , Pauline Berry Burke