摘要:

The Kolmogorov-Smirnov test is important in nonparametric statistical inference. The limiting distribution of the Kolmogorov-Smirnov statistic under the null hypothesis is well known and has been derived by several different methods. The limiting distribution of this statistic under the alternative hypothesis is unknown so that it is not possible, in general, to compute the power of the Kolmogorov-Smirnov test.

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480832

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

This paper compares the Pearson Chi-Square and Kolmogorov good-ness-of-fit tests with respect to validity under the following conditions: (1) theNindependent observations are tabulated and arranged intokmutually exclusive groups that are equally probable under the hypothesis to be tested; and (2) bothNandkare “small”; i.e., not greater than 50. A random sampling experiment was performed, and the results show that in general for the conditions considered, the Pearson test is more valid than the Kolmogorov test.

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480833

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

Where Youden's extreme rank sum test is used, an early decision is often possible by performing the trials in sequence with the following method. After each trial is completed, the greatest lower bound and least upper bound of both extreme rank sums are calculated for all remaining trials. If the critical regions cover either or both intervals of the statistics or the intervals lie completely outside the critical regions, the round-robin test is terminated with the acceptance of the proper hypothesis.

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480834

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

A table of critical values of the Wilcoxon Signed Rank Statistic is presented forN= 4(1)100 pairs of observations at one-tail probability levels of .00005, .0005, .0025, .005 (.005) .025, .050 (.025) .150, and .20 (.05) .45. Probabilities were computed accurately to at least 6 digits, regardless of the location of the decimal point. Therefore, all critical values are correct as tabled. Normal approximation probabilities were found to be biased, too small at the .05 level but too large at the .005 and .0005 probability levels. Approximation errors were less than 10% for allN> 35 for the .05, .025, and .005 one-tail probability levels; but this degree of accuracy was not achieved at the .0005 level forN= 100.

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480835

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

This paper presents in a form convenient for applications a number of bounds for distributions with monotone hazard rate. These bounds, together with their proofs and various generalizations have been obtained by Barlow and Marshall (1964). However, many of them can be characterized only through solutions of transcendental equations, and machine calculation has been necessary to make them accessible. Section 2 gives a listing of the results, and those without explicit forms are tabulated. Section 3 lists various related bounds which are of interest for purposes of comparison, and for use when the hypothesis of monotone hazard rate is not satisfied. Applications of the bounds are discussed in Section 4, together with some numerical examples.

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480836

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

times in columns and

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480837

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

The multivariate acceptance sampling problem is discussed and a solution for a particular sub-class of the general problem developed. This is where the related quality variables have a multivariate normal distribution with known covariance matrix, and where the specification region may be set in the form of a general ellipsoid. Single sampling acceptance procedures by variables for fraction defective are developed. Methods are given for determining the sample sizenand acceptance numbercso as to achieve desired operating characteristics.

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480838

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

A method is given here for fitting a quadratic subject to restrictions on the location of the extreme point which is conceptually somewhat different from that proposed by Cunia [1]. The solution is presented as a special case of the general quadratic programming problem, that is, minimizing a quadratic function subject to restrictions on the variables.

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480839

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

The Role of Direct and Indirect Taxes in the Federal Revenue System: A Conference Report of the National Bureau of Economic Research and the Brookings Institution, Princeton: Princeton University Press, 1964, xii, 1–321. Reviewed by Martin David

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480840

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor

摘要:

This article has no abstract

ISSN:0162-1459    

DOI:10.1080/01621459.1965.10480821

出版商:Taylor & Francis Group    

年代:1965

数据来源: Taylor