摘要:

AbstractIt is assumed that a small random sample of fixed sizenis drawn from a logarithmic series distribution with parameter θ and that it is desired to estimate θ by means of a two‐sided confidence interval. In this note Crow's system of confidence intervals is compared, in shortness of intervals, with Clopper and Pearson's, and the corresponding randomized counterpa

ISSN:0319-5724    

DOI:10.2307/3314773

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractAppealing to the theory of stochastic games, a two‐person, zero‐sum first passage game, which may be viewed as a generalization of the first passage decision problem, is developed. In the first passage game, the players have stationary optional strategies and the values are unique and these can be computed using an algorithm for terminating stochastic games. It is also shown that the solution of a recurrence game is closely related to that of the first passage game. Finally, it is shown that a finite step stochastic game with nonstationary transition probabilities and payoffs can be converted to a first passage game whose solution yields a solution of the original finite step game. The first passage game so obtained has stationary transition probabilities and payoffs. Because of its special structure, the solution method reduces to a dynamic programming recursion in the context of ga

ISSN:0319-5724    

DOI:10.2307/3314774

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractTwo nonparametric classification rules for e‐univariace populations are proposed, one in which the probability of correct classification is a specified number and the other in which one has to evaluate the probability of correct classification. In each case the classification is with respect to the Chernoff and Savage (1958) class of statistics, with possible specialization to populations having different location shifts and different changes of scale. An optimum property, namely the consistency of the classification procedure, is established for the second rule, when the distributions are either fixed or “near” in the Pitman sense and are tending to a common distribution at a specified rate. A measure of asymptotic efficiency is defined for the second rule and its asymptotic efficiency based on the Chernoff‐Savage class of statistics relative to the parametric competitors ie the case of location shifts and scale changes is shown to be equal to the analogous Pitman eff

ISSN:0319-5724    

DOI:10.2307/3314775

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractA probabilistic model for table tennis is derived and probabilities of winning and expected durations are presented for a game and for a match. A simpler model, ignoring the effects of service, is compared with the complete model.

ISSN:0319-5724    

DOI:10.2307/3314776

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractThe power of some rank tests, used for testing the hypothesis of shift, is found when the underlying distributions contain outliers. The outliers are assumed to occur as the result of mixing two normal distributions with common variance. A small sample case shows how the scores for the rank tests are found and the exact power is computed for each of these rank tests. A Monte Carlo study provides an estimate of the power of the usual two samplet‐tes

ISSN:0319-5724    

DOI:10.2307/3314777

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractIn this paper we consider generalizations of the distribution‐free one‐way ANOVA test procedures studied by Puri (1965), such generalizations allowing for possibly different scoring functions for different pairs of samples. The asymptotic distributions of the test statistics are derived and formulas for the asymptotic relative efficiencies of these tests with respect to a parametric competitor are obtained. Applications of these procedures to settings of ordered and umbrella alternatives are presented and potential advantages of this pair‐specific scoring scheme are disc

ISSN:0319-5724    

DOI:10.2307/3314778

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractIn this note some properties of the absolute moments of a doubly truncated arbitrary multivariate distribution are studied and several moment inequalities are derived.

ISSN:0319-5724    

DOI:10.2307/3314779

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractLet {Sn, n≥ 1} be a sequence of partial sums of independent and identically distributed non‐negative random variables with a common distribution functionF.LetFbelong to the domain of attraction of a stable law with exponent α, 0<α<1. Suppose H(t) = ϵ N(t), t ⩾ 0, whereN(t)=max(n : Sn≥ t). Under some additional assumptions onF, the difference betweenH(t)and its asymptotic value as t →

ISSN:0319-5724    

DOI:10.2307/3314780

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractAprès quelques résultats de convergence faible, nous donnons des théorèmes de selection pour des éléments aléatoires sur des espaces uniformes. Nous rattachons un théorème de Fernandez (1971, p. 1740) á ces

ISSN:0319-5724    

DOI:10.2307/3314781

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY

摘要:

AbstractThe concept of optimum spacing of an arbitrary group of treatments was introduced by Sinha and Sinha (1969) in a study of the relative efficiencies of a group of block designs. In this paper, the optimum spacings of elementary treatment contrasts in a 2‐factor symmetrical block design with PropertyAare studied using theA‐optimality criterion. Conditions for optimum spacings are expressed in terms of the relative magnitudes of the efficiency fact

ISSN:0319-5724    

DOI:10.2307/3314782

出版商:Wiley‐Blackwell    

年代:1977

数据来源: WILEY