摘要:

AbstractBirnbaum (1962a) argued that the conditionality principle (C) and the sufficiency principle (S) implied the likelihood principle (L); he then argued (Birnbaum 1972) that C and a mathematical equivalence principle M implied L. Evans, Fraser, and Monette (1985a) gave reference details, and this paper gives proof that C alone implies L. The level of support by the profession for L is sharply less than that for S or even for C; thus the paradoxical nature of these results. In this regard, we elaborate on the Monette example (Fraser, Monette, and Ng 1984), which provides a strong case against L. We also examine closely the various proofs linking the principles and find that S and C can each be used operationally to suppress information otherwise deemed relevant. From another viewpoint this says that S and C can each be used in contexts that directly conflict with the original examples and motivations supporting them; the principles can thus be viewed as inappropriately used, or more strongly, as invalid. In either case, the result that C and S imply L or that C implies L can be regarded as noneffective in the context of discriminating applications. A resolution of the apparent anomalies can be obtained by allowing the statistical model to include ingredients additional to those usually present (particularly for subsequent use with conditionality), or alternatively by restricting the application of the principles to contexts where the conflicts would seem not to arise.

ISSN:0319-5724    

DOI:10.2307/3314794

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

ISSN:0319-5724    

DOI:10.2307/3314795

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

ISSN:0319-5724    

DOI:10.2307/3314796

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

摘要:

AbstractThis paper studies the estimation of a finite population total in the presence of trend. A practical problem of dairy science is to estimate a cow's total 305‐day milk production given a number of test‐day records. We analyze this problem as one of estimating the total of a discrete population when the population values are correlated and exhibit a trend over time. Linear prediction estimators that are BLUE for known covariance and trend function linear in unknown parameters were applied to the estimation of the milk yield total. An empirical study compares BLUE with the expansion estimator and the procedure currently used by the Canadian Record of Performance for Dairy Cat

ISSN:0319-5724    

DOI:10.2307/3314797

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

摘要:

AbstractWe show that sup, completely as, wherefis a uniformly continuous density on are independent random vectors with common densityf, andfnis the variable kernel estimateHereHniis the distance betweenXiand itskth nearest neighbour,Kis a given density satisfying some regularity conditions, andkis a sequence of integers with the property that log asn

ISSN:0319-5724    

DOI:10.2307/3314798

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

摘要:

AbstractWe give a complete asymptotic characterization of the supremum of weighted empirical spacings processes.

ISSN:0319-5724    

DOI:10.2307/3314799

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

摘要:

AbstractIt is shown that certain measure‐valued stochastic processes describing the age distribution of particles whose development is controlled by linear critical birth‐and‐death processes converge in distribution to a deterministic positive bounded me

ISSN:0319-5724    

DOI:10.2307/3314800

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

摘要:

AbstractLetXhas ap‐dimensional normal distribution with mean vector θ and identity covariance matrixI. In a compound decision problem consisting of squared‐error estimation of θ, Strawderman (1971) placed a Beta (α, 1) prior distribution on a normal class of priors to produce a family of Bayes minimax estimators. We propose an incomplete Gamma(α, β) prior distribution on the same normal class of priors to produce a larger family of Bayes minimax estimators. We present the results of a Monte Carlo study to demonstrate the reduced risk of our estimators in comparison with the Strawderman estimators when θ is away from the ze

ISSN:0319-5724    

DOI:10.2307/3314801

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

摘要:

AbstractWe study the residual median process, defined as the median of those observations which are greater than a numbert. Using appropriate limit theorems, it is shown that the stochastic process converges in law to a Gaussian process defined in terms of a Brownian bridge.

ISSN:0319-5724    

DOI:10.2307/3314802

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY

摘要:

AbstractThere has been a recurring interest in models for survival data which hypothesize subpopulations of individuals highly susceptible to some type of adverse event. Other individuals are assumed to be at much less risk. Most commonly, in clinical trials, these models attempt to estimate the fraction of patients cured of disease. The use of such models is examined, and the likelihood function is advocated as an informative inference tool.

ISSN:0319-5724    

DOI:10.2307/3314804

出版商:Wiley‐Blackwell    

年代:1986

数据来源: WILEY