摘要:

This article discusses the card game blackjack as played in the casinos of Las Vegas. The basic rules for the game are described in detail. The player's strategic problems are analyzed with the objective of finding the strategy maximizing his mathematical expectation.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501334

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

Two procedures are suggested for testing the hypothesis of randomness against alternatives of a linear trend and a cyclical trend, respectively. Both procedures reduce to tests of the hypothesis that the parameter of a binomial distribution isp0against the alternative that it isp1and can, therefore, be easily sequentialized. The expected number of observations required by the sequential test against linear trend is smaller than the corresponding number of observations of other tests in current use.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501335

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501336

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

* An invited review article onThe Economic Report of the President, January 1956(Washington: Government Printing Office, 1956). Pp. x, 238. $0.70.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501337

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501338

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

This paper does not present new statistical methods. Rather, it shows that a well known nonparametric procedure which is valid under extremely general conditions also has high efficiency and other favorable properties for certain types of life testing situations. This nonparametric method is the sign test and its confidence interval and point estimate analogs. Sign test procedures and methods of applying them have already received extensive coverage in the literature (e.g., [2]). Consequently, in this paper emphasis is placed on fields of application instead of on methods of application. However, the basic methods for obtaining tests, confidence intervals, and point estimates of the sign test type are restated for convenience. The properties investigated are concerned with the estimation and testing of smaller population percentage points for the case of a sample from a gamma probability distribution. The investigations show that appropriate use of the sign test type of nonparametric tests and estimates sometimes can yield a saving in cost or time without loss of statistical efficiency, since the experiment can be stopped when only a fraction of the items being life tested have failed. The nonparametric results are found to be highly efficient compared to the “best” parametric results based on the same fraction of items failed for the case of small population percentage points; this conclusion appears to be valid for any sample size and for any reasonable type of statistical population.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501339

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501340

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

An efficient method is presented for the economical and rapid computation of as many as six to twelve moments from a single run of the tabulating cards through the IBM Accounting Machine Type 402. The only auxiliary machine required is a sorter. Three features of the accounting machine are employed: progressive summation, total transfer, and the special program device. Moments are available from the successive progressive summations of either the scores or the card count, and both techniques can be applied simultaneously to provide a check on the computations.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501341

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

The present section contains all available abstracts of papers presented at the 1955 national meeting of the American Statistical Association in New York. The sequence of presentation here is alphabetical according to author.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501342

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501343

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor