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Sampling With Replacement vs Poisson Sampling: A Comparative Study in Optimal Subsampling [PDF]
IEEE Transactions on Information Theory, 2022 Faced with massive data, subsampling is a commonly used technique to improve computational efficiency, and using nonuniform subsampling probabilities is an effective approach to improve estimation efficiency.
Jing Wang, Jiahui Zou, Haiying Wang
exaly +2 more sources
On Sampling with and Without Replacement [PDF]
, 2011 Certain aspects of sampling with or without replacement, with equal or unequal probabilities, are considered here in some details. Some comparisons have been made between the with and without replacement sampling schemes. When we are sampling with replacement the estimate should not depend on the number of times that any particular unit may appear in ...
D. Basu
semanticscholar +3 more sources
Some Remarks on Sampling with Replacement
The Annals of Mathematical Statistics, 1958 In order to estimate the mean of a finite population from a random sample, the sample units may be selected in two ways. A pre-determined number $m$ of units may be selected with replacement or sampling with replacement may be continued till a desired number $n$ of distinct units is obtained.
Des Raj, S. Khamis
semanticscholar +4 more sources
A Note on Sampling with Replacement
The Annals of Statistics, 1975 Suppose a finite population is sampled with replacement until the sample contains a fixed number $n$ of distinct units. Let $v$ denote the total number of draws. It is known that $\bar{y}_n$, the mean for the $n$ distict units, and $\bar{y}_v$, the total sample mean, are both unbiased estimators of the population means and that $V(\bar{y}_n) \leqq V ...
E. Cobb
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Weighted sampling without replacement [PDF]
Brazilian Journal of Probability and Statistics, 2018 Comparing concentration properties of uniform sampling with and without replacement has a long history which can be traced back to the pioneer work of Hoeffding (1963). The goal of this short note is to extend this comparison to the case of non-uniform weights, using a coupling between the two samples.
Ben-Hamou, Anna +2 more
exaly +4 more sources
On the Simple Inverse Sampling with Replacement [PDF]
Journal of Statistical Research of Iran, 2015 In this paper we derive some unbiased estimators of the population mean under simple inverse sampling with replacement, using the class of Hansen-Hurwitz and Horvitz-Thompson type estimators and the poststratification approach. We also compare the efficiency of resulting estimators together with Murthy’s estimator.
M. Mohammadi
semanticscholar +2 more sources
The mutual information estimation in the sampling with replacement [PDF]
RAIRO - Operations Research, 1986 An unbiased estimator is constructed for the mutual information of order 2 and its precision is studied. The motivation for choosing mutual information of order 2 rather than Shannon's mutual information, or mutual information of any other order, is that only in this case an unbiased estimation can be immediately derived for the corresponding ...
M. A. Gil, R. Pérez, I. Martínez
semanticscholar +5 more sources
Sampling with Unequal Probabilities and without Replacement [PDF]
The Annals of Mathematical Statistics, 1962 Given a population of $N$ units, it is required to draw a random sample of $n$ distinct units in such a way that the probability for the $i$th unit to be in the sample is proportional to its "size" $x_i$ (sampling with p.p.s. without replacement). From a number of alternatives of achieving this, one well known procedure is here selected: The $N$ units ...
H. Hartley, J. Rao
semanticscholar +4 more sources
The Distribution of Order Statistics Under Sampling Without Replacement
Journal of Statistical Theory and Applications (JSTA)This paper examines the distribution of order statistics taken from simple-random-sampling without replacement (SRSWOR) from a finite population with values $$1,\dots ,N$$ 1 , ⋯ , N .
B. O’Neill
doaj +2 more sources