摘要:

AbstractIn an earlier article [Canad. J. Statist., Vol, 3, No. 1, 1975, 13–34] bounds are obtained for the product moments of an arbitrary finite number of ordered random variables. These bounds are obtained with the help of a representation of an arbitrary function in terms of a complete orthonormal system in a pre‐Hilbert space of square integrable functions defined in ak‐dimensional unit cube. These results are extended to symmetric cases in this ar

ISSN:0319-5724    

DOI:10.2307/3315260

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractFitting the growth curves by polynomials, this paper is intended to test whether or not there is any correlation between two characters. The likelihood ratio statistic is derived and is shown to be distributed under the null hypothesis as the product of three independentU statisticsas defined in Anderson (1958). Box's procedure is then applied to approximate the critical region. A numerical example is given to illustrate the procedure.

ISSN:0319-5724    

DOI:10.2307/3315261

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractSuppose the multinomial parameterspr(θ) are functions of a real valued parameter 0,r= 1,2, …,k.A minimum discrepancy (m.d.) estimator θ of θ is defined as one which minimises the discrepancy functionD= Σ kr = 1nrf(pr/nr), for a suitable functionfwherenris the relative frequency inr‐th cell,r=1,2, …, k.All the usual estimators like maximum likelihood (m. l), minimum chi‐square (m. c. s.)., etc. arem.d.estimators. Allm.d.estimators have the same asymptotic (first order) efficiency. They are compared on the basis of their deficiencies, a concept recently introduced by Hodges and Lehmann [2]. The expression for least deficiency at any θ is derived. It is shown that in general uniformly least deficient estimators do not exist. Necessary and sufficient conditions onpr(0) form. t.andm. c. s.estimators to be uniformly least deficien

ISSN:0319-5724    

DOI:10.2307/3315262

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractThis paper presents a new test statistic for dynamic or stochastic mis‐specification for the dynamic demand or dynamic adjustment class of economic models. The test statistic is based on residual autocorrelations, asymptotically X2and is suspected to be of low power. The test is illustrated with an example from recent econometric literatur

ISSN:0319-5724    

DOI:10.2307/3315263

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractIn this paper we are primarily concerned with the effectiveness of a particular insecticide on beetles. The statistical problem is the comparison of results calculated by the standard probit method adapted to the time‐mortality curve and those calculated by a suitably selected set of sample quantile

ISSN:0319-5724    

DOI:10.2307/3315264

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractStrategies are investigated for selecting one of two medical treatments when patients may be stratified into two distinct categories on the basis of their expected difference in response to the two treatments. The relative effectiveness of the following three strategies are assessed: (1) separate decisions made independently for the two categories, (2) a single overall decision made on the basis of simple pooling, and (3) the Bayes strategy.

ISSN:0319-5724    

DOI:10.2307/3315265

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractTwo series of three symbol balanced arrays of strength two are constructed. Using special classes ofBIBdesigns, two classes of two symbol orthogonal arrays of strength three are constructed.

ISSN:0319-5724    

DOI:10.2307/3315266

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractRoy's union‐intersection principle is used to develop a test procedure to test the equality of scale parameters of several exponential distributions. Upper five and one percent values of the test statistic for two and three exponential distributions are tabulated and an illustrative simulated example is qive

ISSN:0319-5724    

DOI:10.2307/3315267

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractIn this note, sufficient conditions are given for a functiong(t) to be a reflecting barrier for the sample paths of a solution processX(t) of a stochastic differential equation.

ISSN:0319-5724    

DOI:10.2307/3315268

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY

摘要:

AbstractIn this paper an expression for the inverse moment of orderris given for the truncated binomial and Poisson distributions. This enables one to obtain inverse moments in a finite series. Some applications and multivariate generalizations are also given. The method also enables one to obtain relations between inverse moments and factorial moments and distributions of sums of variables.

ISSN:0319-5724    

DOI:10.2307/3315269

出版商:Wiley‐Blackwell    

年代:1976

数据来源: WILEY