共查询到6条相似文献,搜索用时 0 毫秒
1.
In this paper, an alternative sampling procedure that is a mixture of simple random sampling and systematic sampling is proposed. It results in uniform inclusion probabilities for all individual units and positive inclusion probabilities for all pairs of units. As a result, the proposed sampling procedure enables us to estimate the population mean unbiasedly using the ordinary sample mean, and to provide an unbiased estimator of its sampling variance. It is also found that the suggested sampling procedure performs well especially when the size of simple random sample is small.
Received August 2001 相似文献
2.
This paper deals with the estimation of the mean of a spatial population. Under a design‐based approach to inference, an estimator assisted by a penalized spline regression model is proposed and studied. Proof that the estimator is design‐consistent and has a normal limiting distribution is provided. A simulation study is carried out to investigate the performance of the new estimator and its variance estimator, in terms of relative bias, efficiency, and confidence interval coverage rate. The results show that gains in efficiency over standard estimators in classical sampling theory may be impressive. 相似文献
3.
Mean profiles are widely used as indicators of the electricity consumption habits of customers. Currently, in Électricité De France (EDF), class load profiles are estimated using point‐wise mean profiles. Unfortunately, it is well known that the mean is highly sensitive to the presence of outliers, such as one or more consumers with unusually high‐levels of consumption. In this paper, we propose an alternative to the mean profile: the L 1 ‐ median profile which is more robust. When dealing with large data sets of functional data (load curves for example), survey sampling approaches are useful for estimating the median profile avoiding storing the whole data. We propose here several sampling strategies and estimators to estimate the median trajectory. A comparison between them is illustrated by means of a test population. We develop a stratification based on the linearized variable which substantially improves the accuracy of the estimator compared to simple random sampling without replacement. We suggest also an improved estimator that takes into account auxiliary information. Some potential areas for future research are also highlighted. 相似文献
4.
Summary For an inclusion probability proportional to size (IPPS) sampling scheme recently proposed by Saxena, Singh and Srivastava
(1986), it is shown that under certain simple verifiable conditions (1) the Horvitz-Thompson (1952) estimator based on it
has a smaller variance than the variance of the Hansen-Hurwitz (1943) estimator based on probability proportional to size
(PPS) sampling with replacement (WR) both involving the same size-measures and the expected sample size in the former being
equal to the number of draws in the latter and (2) the Yates-Grundy (1953) estimator for the variance of the Horvitz-Thompson
estimator based on this IPPS scheme is uniformly non-negative. 相似文献
5.
In the paper, we consider the following problem: Let {πk} be a sequence satisfying 0πkΣ1 (k=1,…, N) and π=n.Tben, is there an unordered sampling design such that, for each k=1,…N, the inclusion probability of unit k is equal to π? It is shown that it can be solved by the straightforward application of the Minkowski-Farkas theorem. 相似文献
6.
Implementing lifetime performance index for the pareto lifetime businesses of the service industries
Process capability analysis is an effective means of measuring process performance and potential capability. In the service
industries, process capability indices (PCIs) are utilized to assess whether business quality meets the required level. Hence,
the performance index C
L
is used as a means of measuring business performance, where L is the lower specification limit. In the technology of data transformation, this study constructs a uniformly minimum variance
unbiased estimator (UMVUE) of C
L
based on the right type II censored sample from the pareto distribution. The UMVUE of C
L
is then utilized to develop a novel hypothesis testing procedure in the condition of known L. Finally, we give one practical example and the Monte Carlo simulation to assess the behavior of this test statistic for
testing null hypothesis under given significance level. Moreover, the managers can then employ the new testing procedure to
determine whether the business performance adheres to the required level. 相似文献