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61.
Exact average coverage probabilities and confidence coefficients of confidence intervals for discrete distributions 总被引:1,自引:0,他引:1
Hsiuying Wang 《Statistics and Computing》2009,19(2):139-148
For a confidence interval (L(X),U(X)) of a parameter θ in one-parameter discrete distributions, the coverage probability is a variable function of θ. The confidence coefficient is the infimum of the coverage probabilities, inf
θ
P
θ
(θ∈(L(X),U(X))). Since we do not know which point in the parameter space the infimum coverage probability occurs at, the exact confidence
coefficients are unknown. Beside confidence coefficients, evaluation of a confidence intervals can be based on the average
coverage probability. Usually, the exact average probability is also unknown and it was approximated by taking the mean of
the coverage probabilities at some randomly chosen points in the parameter space. In this article, methodologies for computing
the exact average coverage probabilities as well as the exact confidence coefficients of confidence intervals for one-parameter
discrete distributions are proposed. With these methodologies, both exact values can be derived. 相似文献
62.
63.
变数额标准为人员标准——农村低保标准确定的范式转换 总被引:3,自引:0,他引:3
中国扶贫和发展的情况表明,要解决农村全部贫困人员的温饱问题必须建立农村低保制度。受扶贫和城市低保对像确认的影响,我国实行农村低保试点的地区多采取数额标准作为确定农村低保对象的主要确认方法。鉴于数额标准在确定农村低保对象中的种种缺陷和弊端,文章在分析农村低保意义的基础上论证了变数额标准为人员标准在农村低保对象确认中的意义、作用、应注意的问题和确认的方法。 相似文献
64.
65.
In this article, a new consistent estimator of Veram’s entropy is introduced. We establish the entropy test based on the new information namely Verma Kullback–Leibler discrimination methodology. The results are used to introduce goodness-of-fit tests for normal and exponential distributions. The root of mean square errors, critical values, and powers for some alternatives are obtained by simulation. The proposed test is compared with other tests. 相似文献
66.
ABSTRACTWe develop here an alternative information theoretic method of inference of problems in which all of the observed information is in terms of intervals. We focus on the unconditional case in which the observed information is in terms the minimal and maximal values at each period. Given interval data, we infer the joint and marginal distributions of the interval variable and its range. Our inferential procedure is based on entropy maximization subject to multidimensional moment conditions and normalization in which the entropy is defined over discretized intervals. The discretization is based on theory or empirically observed quantities. The number of estimated parameters is independent of the discretization so the level of discretization does not change the fundamental level of complexity of our model. As an example, we apply our method to study the weather pattern for Los Angeles and New York City across the last century. 相似文献
67.
M. Mirali 《统计学通讯:理论与方法》2017,46(22):11047-11059
Some extensions of Shannon entropy to the survival function have been recently proposed. Misagh et al. (2011) introduced weighted cumulative residual entropy (WCRE) that was studied more by Mirali et al. (2015). In this article, the dynamic version of WCRE is proposed. Some relationships of this measure with well-known reliability measures and ageing classes are studied and some characterization results for exponential and Rayleigh distributions are provided. Also, a non parametric estimation of dynamic version of WCRE is introduced and its asymptotic behavior is investigated. 相似文献
68.
In this study, we propose an information measure of uncertainty associated with the random equilibrium residual lifetime of a system driven by N-State Random Evolution. A U-statistic test driven by a moment inequality is proposed for testing the hypothesis that the uncertainty of equilibrium remaining life of a system remains unchanged (when system is in the steady state) against the alternative situation when system’s equilibrium residual life has increasing uncertainty over time (i.e., the life distribution has Increasing Equilibrium Residual Entropy property). Some numerical results such as tabulated critical values and empirical power of the proposed test statistic are presented as well. 相似文献
69.
J. A. Roldán-Nofuentes R. M. Amro 《Journal of Statistical Computation and Simulation》2017,87(3):530-545
Case–control design to assess the accuracy of a binary diagnostic test (BDT) is very frequent in clinical practice. This design consists of applying the diagnostic test to all of the individuals in a sample of those who have the disease and in another sample of those who do not have the disease. The sensitivity of the diagnostic test is estimated from the case sample and the specificity is estimated from the control sample. Another parameter which is used to assess the performance of a BDT is the weighted kappa coefficient. The weighted kappa coefficient depends on the sensitivity and specificity of the diagnostic test, on the disease prevalence and on the weighting index. In this article, confidence intervals are studied for the weighted kappa coefficient subject to a case–control design and a method is proposed to calculate the sample sizes to estimate this parameter. The results obtained were applied to a real example. 相似文献
70.
Unified Inference for Sparse and Dense Longitudinal Data in Time‐varying Coefficient Models
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Time‐varying coefficient models are widely used in longitudinal data analysis. These models allow the effects of predictors on response to vary over time. In this article, we consider a mixed‐effects time‐varying coefficient model to account for the within subject correlation for longitudinal data. We show that when kernel smoothing is used to estimate the smooth functions in time‐varying coefficient models for sparse or dense longitudinal data, the asymptotic results of these two situations are essentially different. Therefore, a subjective choice between the sparse and dense cases might lead to erroneous conclusions for statistical inference. In order to solve this problem, we establish a unified self‐normalized central limit theorem, based on which a unified inference is proposed without deciding whether the data are sparse or dense. The effectiveness of the proposed unified inference is demonstrated through a simulation study and an analysis of Baltimore MACS data. 相似文献