ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501321

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

This paper establishes a criterion that measures approximately the average net income of a process under surveillance of anXchart when the process is subject to random shifts in the process mean. The quality control rule assumed is that an assignable cause is looked for whenever a point falls outside the control limits. The criterion is for the case in which it is assumed that the process is not shut down while the search for the assignable cause is in progress, nor is the cost of adjustment or repair and the cost of bringing the process back into a state of control after the assignable cause is discovered charged to the control chart program.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501322

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

An economical balance is sought between the cost of testing and the expectation of loss due to accepting an insufficiently reliable product or rejecting a sufficiently reliable one, the desired reliability being very high. When the articles to be tested are classifiable into just two groups, satisfactory or defective, use is made of Poisson approximations to obtain “optimum” sequential tests as well as optimum fixed size tests. The results are presented in charts. When the articles to be tested are classifiable according to some physical measurement whose underlying distribution is supposed to be normal, but is otherwise unknown, the optimization is based on previously obtained solutions using normal approximations. Examples are given.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501323

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

For sensitivity experiments, a method employing the customary probit theory is given for estimating the mean and standard deviation of an assumed cumulative normal distribution for the case where the levels of stimulus cannot be controlled precisely.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501324

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501325

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

The problem considered is estimation of the total value of a character for a finite population from a sample when the units are selected with varying probabilities without replacement. Several unbiased estimators are proposed. Exact expressions and unbiased estimators for the variances of the estimators are obtained. Certain properties of Yates and Grundy's estimator of variance are proved. Examples are included to study the relative performance of the various estimators. The results obtained for unistage sampling in the first part of the paper are extended to multistage designs in the second part.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501326

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501327

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501328

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

This paper presents the results of a systematic numerical investigation of the comparative accuracy of several approximations to the cumulative binomial distribution. The approximations studied include the normal, arcsine, Poisson, and six others. Two of the little-known approximations were found to be extremely good: the Poisson Gram-Charlier when the probabilitypis fairly small, and the Camp-Paulson approximation almost everywhere.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501329

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

* I am grateful to the Bureau of Business and Economic Research of the University of California for assistance in some of the computations reported herein. I am grateful also to my colleague, Dr. Maurice Moonitz, and to Dr. Lawrence H. Seltzer and Dr. Geoffrey Moore, of the National Bureau of Economic Research, for many helpful suggestions.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501330

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor