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1.
The problem considered is that of finding an optimum measurement schedule to estimate population parameters in a nonlinear model when the patient effects are random. The paper presents examples of the use of sensitivity functions, derived from the General Equivalence Theorem for D-optimality, in the construction of optimum population designs for such schedules. With independent observations, the theorem applies to the potential inclusion of a single observation. However, in population designs the observations are correlated and the theorem applies to the inclusion of an additional measurement schedule. In one example, three groups of patients of differing size are subject to distinct schedules. Numerical, as opposed to analytical, calculation of the sensitivity function is advocated. The required covariances of the observations are found by simulation. 相似文献
2.
Gianfranco Lovison 《Statistical Papers》2005,46(4):555-574
The identity of the Rao score and PearsonX
2 statistics is well known in the areas where the latter was first introduced: goodness-of-fit in contingency tables and binary
responses. We show in this paper that the same identity holds when the two statistics are used for testing goodness-of-fit
of Generalized Linear Models. We also highlight the connections that exist between the two statistics when they are used for
the comparison of nested models. Finally, we discuss some merits of these unifying results.
Work financially supported by cofin. MIUR grants 2000 and 2002. 相似文献
3.
In the paper we present a new method of calculating sampling intervals, so-called windows, allowing an experimenter some flexibility in timing the sample collection, while a minimum required design efficiency for parameter estimation is assured. The method is based on the Equivalence Theorem for D-optimality what makes the length of each window related to the parameter sensitivities. An example of calculating the windows in a pharmacokinetic study is presented. Some other methods of calculating efficient sampling windows are briefly discussed. 相似文献
4.
《Journal of Statistical Computation and Simulation》2012,82(1-4):143-174
Minimum information bivariate distributions with uniform marginals and a specified rank correlation are studied in this paper. These distributions play an important role in a particular way of modeling dependent random variables which has been used in the computer code UNICORN for carrying out uncertainty analyses. It is shown that these minimum information distributions have a particular form which makes simulation of conditional distributions very simple. Approximations to the continuous distributions are discussed and explicit formulae are determined. Finally a relation is discussed to DAD theorems, and a numerical algorithm is given (which has geometric rate of covergence) for determining the minimum information distributions. 相似文献
5.
NICOLAI BISSANTZ HOLGER DETTE KATHARINA PROKSCH 《Scandinavian Journal of Statistics》2012,39(2):305-322
Abstract. We consider the problem of testing parametric assumptions in an inverse regression model with a convolution‐type operator. An L 2 ‐type goodness‐of‐fit test is proposed which compares the distance between a parametric and a non‐parametric estimate of the regression function. Asymptotic normality of the corresponding test statistic is shown under the null hypothesis and under a general non‐parametric alternative with different rates of convergence in both cases. The feasibility of the proposed test is demonstrated by means of a small simulation study. In particular, the power of the test against certain types of alternative is investigated. Finally, an empirical example is provided, in which the proposed methods are applied to the determination of the shape of the luminosity profile of the elliptical galaxy NGC 5017. 相似文献
6.
《统计学通讯:模拟与计算》2012,41(6):688-709
We begin by definition of semi-Markov flow and discussion of its properties. Asymptotic behavior of multi-server and single-server queueing systems is studied under assumption of time-compression or service time growth. The results obtained are used for calculation of large systems reliability. Statistical estimates of parameters involved are also provided. 相似文献
7.
Yuebao Wang 《统计学通讯:理论与方法》2020,49(14):3352-3374
AbstractOn the basis of Wang and Cheng (J. Math. Anal. Appl. 384 (2011) 597–606), this paper further investigates elementary renewal theorems for counting processes generated by random walks with widely orthant dependent increments. The obtained results improve the corresponding ones of the above-mentioned paper mainly in the sense of weakening the moment conditions on the positive parts of the increments. Meanwhile, a revised version of strong law of large numbers for random walks with widely orthant dependent increments is established, which improves Theorem 1.4 of Wang and Cheng (2011) by enlarging the regions of dominating coefficients. Finally, by using the above results, some precise large deviation results for a nonstandard renewal risk model are established, in which the innovations are widely orthant dependent random variables with common heavy tails, and the inter-arrival times are also widely orthant dependent. 相似文献
8.
9.
Mohammad Azhar Hussain 《Journal of Economic Inequality》2009,7(3):207-223
This study looks at polarization and its components’ sensitivity to assumptions about equivalence scales, income definition,
ethical income distribution parameters, and the income accounting period. A representative sample of Danish individual incomes
from 1984 to 2002 is utilised. Results show that polarization has increased over time, regardless of the applied measure,
when the last part of the period is compared to the first part of the period; primary causes being increased inequality (alienation)
and faster income growth among high incomes relative to those in the middle of the distribution. Increasing the accounting
period confirms the reduction in inequality found for shorter periods, but polarization is virtually unchanged, because income
group identification increases. Applying different equivalence scales does not change polarization ranking for different years,
but identification ranks are affected. The welfare state considerably reduces income polarization and inequality, but at the
expense of some more identification.
相似文献
10.
《水浒传》中运用了大量的修辞手法,在增加了艺术感染力的同时,也给小说的翻译增添了难度。奈达的功能对等,是指译文对译文接受者所起的作用与原文对原文接受者所起的作用大体对等。本文以登特.杨父子合译的《水浒传》新译本为例,运用奈达的功能对等理论,对《水浒传》英译本中常见修辞手法的翻译处理进行分析。 相似文献