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Smoothed model‐assisted small area estimation of proportions

Canadian Journal of Statistics, 2023
AbstractIn countries where population census data are limited, generating accurate subnational estimates of health and demographic indicators is challenging. Existing model‐based geostatistical methods leverage covariate information and spatial smoothing to reduce the variability of estimates but often ignore the survey design, while traditional small ...
Peter A. Gao, Jon Wakefield
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Estimation of proportional covariances

Statistics & Probability Letters, 1987
In the model for proportional covariance matrices of p-dimensional normally distributed random variables, the existence and uniqueness of the maximum likelihood estimator is established using convexity results.
Johansen, Søren, Tolver Jensen, Søren
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MINIMAX ESTIMATION OF A CONSTRAINED BINOMIAL PROPORTION

Statistics & Risk Modeling, 2000
The problem of estimating the probability parameter of a binomial distribution under additional assumptions that it lies in a interval \([a,b] \subset [0,1]\) is considered. The minimax and linear minimax estimators are obtained for both quadratic and information-normalized loss functions. Some comparisons with other estimators are studied.
Marchand, Éric, MacGibbon, Brenda
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Simultaneous estimation of the hardy‐weinberg proportions

Canadian Journal of Statistics, 1992
AbstractWe consider the problem of simultaneously estimating k + 1 related proportions, with a special emphasis on the estimation of Hardy‐Weinberg (HW) proportions. We prove that the uniformly minimum‐variance unbiased estimator (UMVUE) of two proportions which are individually admissible under squared‐error loss are inadmissible in estimating the ...
Chow, Mosuk, Fong, Duncan K. H.
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Simulation-Based Estimation of Proportions

Management Science, 1995
Simulated estimates for several proportions are needed in many simulation studies. We propose a method for controlling the length of a simulation run so that the proportions estimated satisfy a prespecified precision requirement. The method applies the arcsin transform in order to generate confidence intervals with the desired width.
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Estimating Ratio of Proportions Using Auxiliary Information

Biometrical Journal, 1986
AbstractThe problem of estimation of ratio of population proportions is considered and a difference‐type estimator is proposed using auxiliary information. The bias and mean squared error of the proposed estimator is found and compared to the usual estimator and also to WYNN'S (1976) type estimator. An example is included for illustration.
Singh, G., Singh, R. K., Kaur, P.
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Proportion Estimation of Correlated Sequences

SIMULATION, 2001
Simulated estimates of proportions are needed in some simulation studies. We propose a quasi-in dependent method to determine the length of a simulation run so that the proportion estimates satisfy a pre-specified precision requirement. The method uses histogram approximation to generate confidence intervals with the desired precision.
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A Proportion Estimation Or Mixed Pixel (MIXEL) With Previously Estimated Proportions Of Neighboring Mixels

[Proceedings] IGARSS'91 Remote Sensing: Global Monitoring for Earth Management, 2005
A proportion estimation of Mixed Pixels(M1XELs) based on Inversion Problem Solving technique with previously estimated proportion of neighboring mixels is proposed. Exprimental results with simulation data shows that the proposed method is superior to the previously proposed conventional method with generalized inverse matrix by 81 times in terms of ...
K. Arai, Y. Terayama, K. Teramoto
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A biased estimate of proportion

International Journal of Mathematical Education in Science and Technology, 1998
A simple method of finding a biased estimate of the population proportion is introduced. This biased estimate is derived by finding a confidence interval for the population proportion without using the concept of convergence in probability. While all existing biased estimates of the population proportion are based on specific prior distributions, the ...
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Estimation of a Proportion Through Randomized Response

International Statistical Review / Revue Internationale de Statistique, 1976
This paper gives a general approach to the estimation of a proportion n of a population with some sensitive characteristic A. First, in Section 2, is discussed a measure of the risk of being revealed. It is based on conditional probabilities after an idea of Lanke (1975, 1976). In Section 3 a model with two possible answers is considered and in Section
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