摘要:

This paper contains an analysis of the problem of computing the joint probability density of the honor card point count in each of four hands in the game of bridge. Efficient representation of the data is considered. Computational algorithms are given for dealing with a compressed form of the density. From the joint density, the densities of the point count in the best and worst hands are obtained. Also obtained is the conditional distribution that a partnership has m points given that one of the partners has n1 points.

ISSN:0361-0918    

DOI:10.1080/03610918008812141

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

A rational fraction approximation is given for a function of one of the parameters defining Johnson's SUError assessment for a segment of the domain of validity shows remarkable accuracy.

ISSN:0361-0918    

DOI:10.1080/03610918008812142

出版商:Marcel Dekker, Inc.    

年代:1980

数据来源: Taylor

摘要:

Class specific stratified posterior probability estimators of misclassification probabilities in discriminant analysis simulations are introduced. These estimators afford a significant variance reduction over the usual count estimators. Sufficient conditions for a variance reduction are given. The stratified posterior probability estimator is generalized to other class specific expectations.

ISSN:0361-0918    

DOI:10.1080/03610918008812143

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

To obtain certain estimators in statistical models, for example, M-estimators, it is often necessary to use an iterative computational technique. One such technique is the iterated weighted least squares method, while another is the well-known Newton1s method. Both methods require a starting value as well as a stopping rule incorporated into their iterative scheme. This paper attempts to indicate the possible effects of using various combinations of starting values and stopping rules on M-estimators, especially when applied to results of Monte Carlo studies. In this paper, H-estimators are computed for the first-order autoregressive model

ISSN:0361-0918    

DOI:10.1080/03610918008812144

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Rosner (1975) obtained, by using the Monte Carlo technique, 5-, 1-, and 0.5-percentage points of the extreme studentized deviate test statistics for detecting at most two outliers in the data of size n = 10(1)20(5)50 from a normally distributed population. In this paper, the 5-percentage points of the test statistics are extended to allow detection of as many as 19 outliers in a data set of up to 100 observations. The critical values obtained by the Monte Carlo technique are smoothed to eliminate possible inconsistencies.

ISSN:0361-0918    

DOI:10.1080/03610918008812145

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Tables of the upper a-points m of the studentized rr a;k*,V maximum modulus distribution with parameter and V degrees of freedom, given in Stoline and Ury (1979) for twelve values of are extended in for the same a-values and 46 values. Linear interpolation in k is apparently accurate to .002 over this range (evidently the mean of linear and linear harmonic interpolation in k is accurate to001) and linear harmonic interpolation in V, to .001. Hence this, in effect, completes the tabulation for 100 or fewer samples for most practical purposes

ISSN:0361-0918    

DOI:10.1080/03610918008812146

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

In this paper we consider the behavior of the roots of random algebraic polynomials. A code was developed which generates a sample of random algebraic polynomials, calculates the roots of each sample polynomial, and then calculates the averages of the roots. Finally, the roots of the deterministic algebraic polynomial whose coefficients are the averages of the sample coefficients are calculated. These data are then tabulated and graphically displayed. The relationship between the averages of the roots of the sample polynomials and the roots of the average polynomial is discussed.

ISSN:0361-0918    

DOI:10.1080/03610918008812147

出版商:Marcel Dekker, Inc.    

年代:1980

数据来源: Taylor

ISSN:0361-0918    

DOI:10.1080/03610918008812148

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

ISSN:0361-0918    

DOI:10.1080/03610918008812140

出版商:Marcel Dekker, Inc    

年代:1980

数据来源: Taylor