摘要:

If the conditioning variable is required to depend only on the value of the minimal sufficient statistic, Birnbaum's proof fails.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481088

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

Continuity suggests that the conditioning variable not be required to depend only on the values of the minimal sufficient statistic.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481089

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

The conditionality (ancillarity) concept is discussed with particular reference to Durbin's proposed reformulation (C') of Birnbaum's formulation (C) and Fisher's original formulations [6, 7]. It is pointed out that (C') is not in general suitable for applications in the usual sense, since it fails to eliminate all ambiguities of choice of the conditional frame of reference in which standard statistical methods may be applied. The alternative formulations of conditionality are discussed in relation to sufficiency, likelihood, and related methodological problems.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481090

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

This article proposes a refinement of the usual approximation due to Satterthwaite for making a significance test when the test statistic involves a single mean square in the numerator and a linear combination of mean squares in the denominator, that linear combination involving known positive constants. The test procedure is outlined in detail, and its derivation given in a separate section. The development of the technique essentially involves determining, by successive approximations, a function which serves as the test criterion. This function is given through terms in the cubes of the reciprocals of the degrees of freedom involved in the problem, thereby giving a deviation from the advertised significance level which is smaller (in magnitude) than the deviation provided by the Satterthwaite procedure. An expression approximating the power of the test is also developed.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481091

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

In this article a procedure is given for constructing confidence bands of various forms for linear regression models. Application of the procedure yields, as special cases, hyperbolic, straight line segment, uniform width and trapezoidal confidence bands.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481092

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A noisy duel is a zero-sum, two-person game with the following structure. Each player has bullets which he can fire at any time in [0, 1]. If Playerifires at timet, he hits with probabilityPi(t). The functionsPiare continuous and nondecreasing withPi(0)=0 andPi(1)=1. The number of bullets each player possesses at any time and the functionsPiare known to both. The payoff is 1 to the sole survivor, otherwise 0.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481093

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

For Bernoulli random variables sequential tests of the simple hypothesesp=p0vs.p = p1are considered. In particular a comparison is made between the performance of sequential probability ratio tests (SPRTs) and curtailed single sampling plans (CSSPs), when both tests have the same error probabilities. In [1] it is shown that the CSSP has a strong optimality property. Nevertheless, if one admits randomized SPRTs, the latter are better. Numerical examples are considered in detail forp0= 1/2 and the CSSP withn= 2. The method of finding the randomized SPRTs with the correct error probabilities is indicated. These rules have positive probability of deciding without taking any observations.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481094

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

Exact non-central distributions of individual characteristic roots have been obtained in two- and three-roots cases in connection with tests of the hypothesis σ1=σ2, where σ1and σ2are covariance matrices of twop-variate normal populations. Powers of tests using individual roots are tabulated for the test of this hypothesis against various one-sided simple alternatives and comparisons of powers made.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481095

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

The mgf of Pillai'sV(s)criterion in the central case has been obtained as a weighted sum of determinants whose elements are incomplete gamma functions. A method is given to reduce the determinants in terms of single integrals or their products. Exact upper 5 and 1 percent points are given forV(3)andV(4)(for selected values of an argumentn) using the expressions of the cdf obtained by inversion from the mgf for values of another argumentm= 1, 2, 3 fors=3, andm= 0, 1 fors= 4.

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481096

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A Selection of Early Statistical Papers of J. Neyman. Berkeley and Los Angeles: University of California Press, 1967. 429 pp. $14.95. Reviewed by Oscar Kempthorne

ISSN:0162-1459    

DOI:10.1080/01621459.1970.10481097

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor