共查询到20条相似文献,搜索用时 0 毫秒
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Xian Zhou S. Rao Jammalamadaka 《Annals of the Institute of Statistical Mathematics》1989,41(3):541-553
This paper is concerned with the exact Bahadur efficiencies of spacings statistics. For a general class of statistics based on a fixed number of spacings, the explicit forms of the exact slopes are derived, and it is shown that the sum of the logarithms of spacings is optimal in this class. Some results are extended to the case where the number of spacings increase with the sample size to infinity. 相似文献
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Teturo Kamae 《Journal of Mathematical Analysis and Applications》1983,97(2):355-373
We study the amount of information obtained by a set of relative pairwise comparisons. From this point of view, two kinds of entropy are introduced for graphs. 相似文献
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László Csató 《Central European Journal of Operations Research》2013,21(4):783-803
Pairwise comparison matrices are widely used in multicriteria decision making. This article applies incomplete pairwise comparison matrices in the area of sport tournaments, namely proposing alternative rankings for the 2010 Chess Olympiad Open tournament. It is shown that results are robust regarding scaling technique. In order to compare different rankings, a distance function is introduced with the aim of taking into account the subjective nature of human perception. Analysis of the weight vectors implies that methods based on pairwise comparisons have common roots. Visualization of the results is provided by multidimensional scaling on the basis of the defined distance. The proposed rankings give in some cases intuitively better outcome than currently used lexicographical orders. 相似文献
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A. Bakshaev 《Lithuanian Mathematical Journal》2010,50(1):13-33
In this paper, we consider an application of N-distance theory for testing composite hypotheses of goodness of fit. This work is a continuation of our research started in [A. Bakshaev, Goodness of fit and homogeneity tests on the basis of N-distances, J. Stat. Plan. Inference, 139(11):3750–3758, 2009; A. Bakshaev, Nonparametric tests based on N-distances, Lith. Math. J., 48(4):368–379, 2008]. Particular attention is paid to normality and exponentiality tests. A comparative Monte Carlo power study for the proposed criteria is provided. Different alternatives in uni- and bivariate cases are investigated. 相似文献
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Pairwise comparisons are a well-known method for the representation of the subjective preferences of a decision maker. Evaluating their inconsistency has been a widely studied and discussed topic and several indices have been proposed in the literature to perform this task. As an acceptable level of consistency is closely related to the reliability of preferences, a suitable choice of an inconsistency index is a crucial phase in decision-making processes. The use of different methods for measuring consistency must be carefully evaluated, as it can affect the decision outcome in practical applications. In this paper, we present five axioms aimed at characterizing inconsistency indices. In addition, we prove that some of the indices proposed in the literature satisfy these axioms, whereas others do not, and therefore, in our view, they may fail to correctly evaluate inconsistency. 相似文献
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《Applied mathematics and computation》1986,18(2):119-141
This paper presents a method for solving discrete choice problems characterized by multiple evaluative criteria. The proposed method, known as MAPPAC, is based on a pairwise comparison of alternatives relative to each pair of criteria, defining the two relations P (preference) and I (indifference), which constitute a complete preorder. Moreover, by aggregating these preferences, it is possible to obtain a variety of relations on a set of feasible actions. 相似文献
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James A. Koziol 《Annals of the Institute of Statistical Mathematics》1986,38(1):485-493
Summary Efficiency properties of the Cramér-von Mises, Anderson-Darling, Watson, and DeWet-Venter statistics for assessing normality
are investigated. For these statistics, the approximate slopes are determined, and the equivalence of ratios of limiting approximate
slopes to limiting Pitman efficiencies is established. From relative efficiency comparisons, the Cramér-von Mises and Watson
statistics perform rather poorly; choice between the Anderson-Darling and DeWet-Venter statistics should be made on the basis
of anticipated alternatives. 相似文献
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A method for stochastic multiple criteria decision making based on pairwise comparisons of alternatives with random evaluations 总被引:1,自引:0,他引:1
This paper proposes a method for solving stochastic multiple criteria decision making (MCDM) problems, where evaluations of alternatives on considered criteria are random variables with known probability density functions or probability mass functions. Probabilities on all possible results of pairwise comparisons of alternatives are first calculated using Probability Theory. Then, all possible results of pairwise comparisons are classified into superior, indifferent and inferior ones using a predefined identification rule. Consequently, the probabilities on all possible results of pairwise comparisons are partitioned into superior, indifferent and inferior probabilities. Furthermore, based on the derived probabilities, an algorithm is developed to rank the alternatives. Finally, a numerical example is used to illustrate the feasibility and validity of the proposed method. 相似文献
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This study sets out a framework to evaluate the goodness of fit of stochastic mortality models and applies it to six different models estimated using English & Welsh male mortality data over ages 64-89 and years 1961-2007. The methodology exploits the structure of each model to obtain various residual series that are predicted to be iid standard normal under the null hypothesis of model adequacy. Goodness of fit can then be assessed using conventional tests of the predictions of iid standard normality. The models considered are: Lee and Carter’s (1992) one-factor model, a version of Renshaw and Haberman’s (2006) extension of the Lee-Carter model to allow for a cohort-effect, the age-period-cohort model, which is a simplified version of the Renshaw-Haberman model, the 2006 Cairns-Blake-Dowd two-factor model and two generalized versions of the latter that allow for a cohort-effect. For the data set considered, there are some notable differences amongst the different models, but none of the models performs well in all tests and no model clearly dominates the others. 相似文献
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Suppose that random factor models with k factors are assumed to hold for m, p-variate populations. A model for factorial invariance has been proposed wherein the covariance or correlation matrices can be written as Σi = LCiL′ + σi2I, where Ci is the covariance matrix of factor variables and L is a common factor loading matrix, i = 1,…, m. Also a goodness of fit statistic has been proposed for this model. The asymptotic distribution of this statistic is shown to be that of a quadratic form in normal variables. An approximation to this distribution is given and thus a test for goodness of fit is derived. The problem of dimension is considered and a numerical example is given to illustrate the results. 相似文献
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Peter Albrecht 《Insurance: Mathematics and Economics》1982,1(1):27-33
In the literature on the statistical analysis of point processes certain tests for homogeneous Poisson processes are proposed, which in fact are tests for mixed Poisson processes. Some conclusions from this fact are drawn. 相似文献
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Testing goodness of fit for the distribution of errors in multivariate linear models 总被引:2,自引:0,他引:2
M.D. Jimnez Gamero J. Muoz García R. Pino Mejías 《Journal of multivariate analysis》2005,95(2):301-322
In this paper, to test goodness of fit to any fixed distribution of errors in multivariate linear models, we consider a weighted integral of the squared modulus of the difference between the empirical characteristic function of the residuals and the characteristic function under the null hypothesis. We study the limiting behaviour of this test statistic under the null hypothesis and under alternatives. In the asymptotics, the rank of the design matrix is allowed to grow with the sample size. 相似文献
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Jian-Jian Ren 《Annals of the Institute of Statistical Mathematics》1995,47(3):525-549
We generalize Cramér-von Mises statistics to test the goodness of fit of a lifetime distribution when the data are doubly censored. We derive the limiting distributions of our test statistics under the null hypothesis and the alternative hypothesis, respectively. We also give a strong consistent estimator for the asymptotic covariance of the self-consistent estimator for the survival function with doubly censored data. Thereby, a method, called the Fredholm Integral Equation method, is proposed to estimate the null distribution of test statistics. In this work, the perturbation theory for linear operators plays an important role, and some numerical examples are included.The author's research was supported by a Faculty Fellowship of University of Nebraska-Lincoln. 相似文献
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E. Triantaphyllou 《Journal of Optimization Theory and Applications》1995,84(1):207-234
One of the most difficult issues in many real-life decisionmaking problems is how to estimate the pertinent data. An approach which uses pairwise comparisons was proposed by Saaty and is widely accepted as an effective way of determining these data. Suppose that two matrices with pairwise comparisons are available. Furthermore, suppose that there is an overlapping of the elements compared in these two matrices. The problem examined in this paper is how to combine the comparisons of the two matrices in order to derive the priorities of the elements considered in both matrices. A simple approach and a linear programming approach are formulated and analyzed in solving this problem. Computational results suggest that the LP approach, under certain conditions, is an effective way for dealing with this problem. The proposed approach is of critical importance because it can also result in a reduction of the total required number of comparisons.The author would like to thank Professors Stuart H. Mann, Pennsylvania State University, and Panos M. Pardalos, University of Florida, for their support and valuable comments during the early stages of this research. 相似文献
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Marcin Anholcer Volodymyr Babiy Sándor Bozóki Waldemar W. Koczkodaj 《Central European Journal of Operations Research》2011,19(4):439-444
This is a follow up to “Solution of the least squares method problem of pairwise comparisons matrix” by Bozóki published by
this journal in 2008. Familiarity with this paper is essential and assumed. For lower inconsistency and decreased accuracy,
our proposed solutions run in seconds instead of days. As such, they may be useful for researchers willing to use the least
squares method instead of the geometric means method. 相似文献
18.
In life testing experiments, the skewed distributions like log-normal, Weibull, gamma and generalized gamma are the most suitable
models for recording the failure time measurements. In this paper, a generalized version of log-normal distribution is proposed
and its goodness-of-fit for a randomly censored data set representing the remission times of bladder cancer patients has been
demonstrated and compared with other lifetime models considered in the literature. The P-P plots of Kaplan-Meier estimator
against the survival functions of the considered models are used to show the goodness-of-fit. A simulation study is also performed
to estimate the parameters in both the classical and Bayesian setups. 相似文献
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