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1.
Inge Koch Kanta Naito Hiroaki Tanaka 《Australian & New Zealand Journal of Statistics》2019,61(4):401-428
Kernel discriminant analysis translates the original classification problem into feature space and solves the problem with dimension and sample size interchanged. In high‐dimension low sample size (HDLSS) settings, this reduces the ‘dimension’ to that of the sample size. For HDLSS two‐class problems we modify Mika's kernel Fisher discriminant function which – in general – remains ill‐posed even in a kernel setting; see Mika et al. (1999). We propose a kernel naive Bayes discriminant function and its smoothed version, using first‐ and second‐degree polynomial kernels. For fixed sample size and increasing dimension, we present asymptotic expressions for the kernel discriminant functions, discriminant directions and for the error probability of our kernel discriminant functions. The theoretical calculations are complemented by simulations which show the convergence of the estimators to the population quantities as the dimension grows. We illustrate the performance of the new discriminant rules, which are easy to implement, on real HDLSS data. For such data, our results clearly demonstrate the superior performance of the new discriminant rules, and especially their smoothed versions, over Mika's kernel Fisher version, and typically also over the commonly used naive Bayes discriminant rule. 相似文献
2.
Diane M. Masuo Y. Lakshmi Malroutu Rieko Hanashiro Jung Hoon Kim 《Journal of Family and Economic Issues》2004,25(4):469-481
The multidimensionality of money was investigated, using exploratory factor analysis (EFA). The respondents, 290 college students from Korea, Japan, and the United States, were administered a survey, which included socio-demographic questions, and Furnham's (1984) Money Beliefs and Behaviors (MBBS) Scale. Through a series of principal components analyses, a three-factor model with 10 MBBS items was identified. The three factors, Power, Security, and Financial Modesty accounted for 53.6% of the variance. The findings have implications for college students and financial management practitioners. 相似文献
3.
Kanta Marwah 《Journal of Policy Modeling》1985,7(4):673-679
This comment points out some methodological weaknesses in the Canadian global exchange rate model and the associated efficiency tests of Marwah and Bodkin. The model is found to be inadequate for policy analysis. 相似文献
4.
AbstractThis paper examines the high dimensional asymptotics of the naive Hotelling T2 statistic. Naive Bayes has been utilized in high dimensional pattern recognition as a method to avoid singularities in the estimated covariance matrix. The naive Hotelling T2 statistic, which is equivalent to the estimator of the naive canonical correlation, is a statistically important quantity in naive Bayes and its high dimensional behavior has been studied under several conditions. In this paper, asymptotic normality of the naive Hotelling T2 statistic under a high dimension low sample size setting is developed using the central limit theorem of a martingale difference sequence. 相似文献
5.
Data from a sample of northwestern Wisconsin residents were analyzed to identify the contribution of specific life domain satisfactions to the prediction of satisfaction with social integration. The results show the dominant impact of family satisfaction across the sample and its sub-populations of age, sex and income. The contribution of satisfactions with spare time activities and organizational involvement is also fairly uniform over the various groups. The impact of satisfactions with work, spiritual life and the remaining domains, on the other hand, is highly selective for different subpopulations. The results support the hypothesis of greater family and community centeredness among the lower income individuals and the elderly, and of the greater impact of organizational involvement, spare time activities and national affairs on the high income individuals. The differential impact of some of the resource and consumption domains across the subpopulations underlines the prominence of alternate consumption orientations and different resource instrumentalities for attaining the feelings of social integration. 相似文献
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In this paper, we consider chain ratio and regression type estimators for estimating median in survey sampling. We find expressions
for the variance of the chain-ratio and chain-regression type estimators considered in the present investigation. The optimum
values of the first phase and second phase sample sizes are also obtained for the fixed cost of survey. The relative efficiency
of chain-ratio and chain-regression type estimators have been studied in comparison to ratio and regression type estimators
of median proposed by Singh, Joarder and Tracy (2001). 相似文献
8.
This article advocates the problem of estimating the population variance of the study variable using information on certain known parameters of an auxiliary variable. A class of estimators for population variance using information on an auxiliary variable has been defined. In addition to many estimators, usual unbiased estimator, Isaki's (1983), Upadhyaya and Singh's (1999), and Kadilar and Cingi's (2006) estimators are shown as members of the proposed class of estimators. Asymptotic expressions for bias and mean square error of the proposed class of estimators have been obtained. An empirical study has been carried out to judge the performance of the various estimators of population variance generated from the proposed class of estimators over usual unbiased estimator, Isaki's (1983), Upadhyaya and Singh's (1999) and Kadilar and Cingi's (2006) estimators. 相似文献
9.
Joyendu Bhadury Paul M. Griffin Susan O. Griffin Lakshmi S. Narasimhan 《Social Choice and Welfare》1998,15(4):489-508
This paper considers the well studied problem of the existence of an undominated point, under the assumption of lexicographic
preferences of voters, as espoused by Taylor in [24]. We extend Taylor's model to situations were we allow for (i) voters
to have different ranings of the issues in n-dimensional issue space and (ii) a candidate to be disregarded by a voter if his stand on any one or more of the issues involved
in the election is perceived to be too extreme by the voter and (iii) combinations of (i) and (ii). We extend the results
of Taylor by demonstrating the non-existence of an equilibrium point in these models in general and then showing that under
special circumstances, specialized variants of the “median” point(s) represent equilibrium or undominated points in these
models too. Thus a model of voting behavior results that is closer approximation of reality in that historically incumbents
tend to win. The primary conclusion of the paper is to suggest that incumbents tend to have an advantage when the election
process is characterized by a large presence of special interests or as information becomes more expensive to acquire.
Received: 13 February 1996 / Accepted: 27 March 1997 相似文献
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