摘要:

AbstractThis paper presents an overview of some recent results concerning statistical models and inference. specifically: grounds for statistical models. types of models that simplify by standard probability analysis, the use of categorical information in the reduction of the model with data, and the role of additives in the inference process. The relevant technical material has been developed elsewhere.

ISSN:0319-5724    

DOI:10.2307/3556178

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractThe likelihood function from a large sample is commonly assumed to be approximately a normal density function. The literature supports, under mild conditions, an approximate normal shape about the maximum; but typically a stronger result is needed: that the normalized likelihood itself is approximately a normal density. In a transformation‐parameter context, we consider the likelihood normalized relative to right‐invariant measure, and in the location case under moderate conditions show that the standardized version converges almost surely to the standard normal. Also in a transformation‐parameter context, we show that almost sure convergence of the normalized and standardized likelihood to a standard normal implies that the standardized distribution for conditional inference converges almost surely to a corresponding standard normal. This latter result is of immediate use for a range of estimating, testing, and confidence procedures on a conditional‐inferenc

ISSN:0319-5724    

DOI:10.2307/3556179

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractTo carry out a permutation test we have to examine then! permutations of the observations. In order to make the permutation test feasible, Dwass (1957) proposed to examine only a sample of these permutations. With the help of sequential methods, we obtain a test which is never less efficient than that proposed by Dwass or the permutation test itself, in the sensethatit is as powerful and never requires more permutations to make a decision. In practice, we can expect to gain much efficiency.

ISSN:0319-5724    

DOI:10.2307/3556180

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractStochastic order between univariate random variates may be called uniform when such order persists under conditioning to a broad family of intervals. The ordering is local when it holds for any finite interval (a, b), however small. Local order in multivariate settings has been described by Whitt (1980, 1981), by Karlin and Rinott (1980), and by others. The prevalence of uniform and local order in a variety of simple stochastic‐process settings is displayed, and inequalities arising from such orderings develope

ISSN:0319-5724    

DOI:10.2307/3556181

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractExpressions for the risk of a Stein estimator and its principal derivatives involve a well‐defined. but nonevaluated. expectation term. Stein (1966) has suggested a second‐order approximation. In this paper we present an alternative exact express

ISSN:0319-5724    

DOI:10.2307/3556182

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractThe sampling theory of Fisher's logarithmic distribution, discussed in Wani (1978), is extended to the class of power‐series distribution

ISSN:0319-5724    

DOI:10.2307/3556183

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractThree areas in the running of a lottery may be distinguished: the design of the prize structure, the marketing of the product, and the selection of the winners. The rules and regulations in each of these areas governing the large‐scale Canadian lotteries are not clear. Some examples show the need for an independent body which would clarify these regulations and provide control over the large lottery operations in Canad

ISSN:0319-5724    

DOI:10.2307/3556184

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractIt is shown that if V1and V2are two positive random variables such that V1is “star‐shaped” with respect to V2, then for any random variable X with a distribution F(x) such that F(ax) has the monotone likelihood‐ratio property, XV1is star‐shaped with respect to XV2. This result is then used to prove that the stable laws are star‐sha

ISSN:0319-5724    

DOI:10.2307/3556185

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY

摘要:

AbstractLet Nnbe the number of occurrences in n trials of an event governed by a two‐state Markov chain (of first order or second order). We obtain the distribution of Nnand apply it to a problem involving literary tex

ISSN:0319-5724    

DOI:10.2307/3556186

出版商:Wiley‐Blackwell    

年代:1982

数据来源: WILEY