摘要:

A procedure is presented for preparing probability plots for random samples from an assumed gamma distribution for any specified value of the shape parameter, η. Computational procedures for finding values of quantiles are developed, and tables of quantiles for a range of values of η[0.1(0.1)0.6(0.2)5.0(0.5)10.0(1.0)20.0] and various precentage values are presented. Also a complete mechanization for the IBM 7090, from input to plot, is described. Various examples of gamma plots are presented to illustrate the characteristics of the procedure. A number of areas of application of gamma plotting in statistical analysis are discussed, with examples.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489984

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

Plans for asymmetrical factorial experiments which permit uncorrelated estimates of all main effects when the interactions are negligible are described. The construction of these plans is based upon the principle of proportional frequencies of the factor levels. The possibilities of blocking these main-effect plans, the randomization procedure and the method of analysis are presented.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489985

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

Procedures for constructing plans which permit uncorrelated estimation of all main effects and some specified number of two-factor interaction effects are developed for symmetrical factorial arrangements. These plans can then be adjusted to yield plans with similar properties for asymmetrical factorial experiments.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489986

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

In life testing observations,x1,x2, …xi, …xrare often recorded in time until only a fixed numberrare obtained. The total number n of individuals in the sample may be unknown. Methods for estimatingnare proposed for the situation where thexiare continuous variates, the sampling random, and the probability density functionf(x) known.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489987

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

This paper discusses the effect of using redundant components on the operation of systems which perform a given task repetitively. It is assumed that each component of the system has a constant probability of failure at every cycle. A question which immediately arises is: “What is the probability distribution for the number of the cycle of first system failure?” The solution to this problem generalizes considerations leading to the geometric distribution. The effects of replacements on the failure cycle distribution are analyzed.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489988

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

Exact parameter-free tolerance intervals based on the first r ordered observations from a sample of size n from an exponential distribution are developed. Various criteria for goodness of tolerance intervals are examined, and certain optimum properties of these intervals are demonstrated. The asymptotic behavior of these intervals is studied. Comparisons are made between these intervals and nonparametric tolerance intervals. Finally, the effect of assuming an exponential distribution, when in fact the distribution is a mixture of two exponentials, is discussed briefly.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489989

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

Cusum schemes using gauging are developed for controlling the mean and standard deviation of a normal distribution. Tables are provided. The schemes for the mean are generally more sensitive than the corresponding Shewhart ones and only little less sensitive than cusum schemes using measured observations. The gauging schemes can be easily performed automatically.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489990

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

This paper was read at the Conference on Experimental Design held at the Mathematics Research Center, U. S. Army, University of Wisconsin in January 1961, and later appeared inPhysics Today, September 1961. The paper is clearly addressed to both physicistsand statisticiansand for this reason now appears inTechnometricsthrough the kind permission of Robert R. Davis, editor ofPhysics Today. The paper discusses the use of various experimental designs to increase the precision of measurement of physical constants through the detection of systematic errors.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489991

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489992

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10489993

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor