摘要:

SummaryThis is an attempt to write an introduction to some aspects of the present state of the Neyman‐Pearsontheory. The object is to interest the reader who has some knowledge of modem probability theory and statistics. We try to emphasize the main ideas, “unnecessary” mathematics is avoided.In our opinion, the Neyman‐Pearsontheory (or, more generally, the objectivistic approach to statistics) is a vigorous attempt to statisfy some weakened form of the philosophical principle of the “intersubjective verifiability”. This attempt is considered successful in those situations where “various different objectivistic optimum properties are satisfied by the same optimal test”. Unfortunately, these conditions are not satisfied for many situations from actual practice (testing against restricted alternatives, non‐parametric problems). Thus we arrive at a dilemma: for many problems from practice different “optimum” tests are available. There is no easy way out of this dillemma (see the last section).We have tried to emphasize the motivation and to aim at readability while minimizing the overlap with e.g. Lehmann'sbasic textbook. Thus many basic tools are disregarded: exponential families, completeness and sufficiency of statistics and many other subjects are missing, the restrictions by similarity, unbiasedness or invariance are only mentioned. The references constitute an incomplete apology for deleting so many im

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1971.tb00130.x

出版商:Blackwell Publishing Ltd    

年代:1971

数据来源: WILEY

摘要:

SummaryThe infinite period stationary inventory model is considered. There is a constant lead time, a nonnegative set‐up cost, a linear purchase cost, a holding and shortage cost function, a fixed discount factor β, 0<β<1, and total backlogging of unfilled demand. Both the total discounted cost (β<1) and the average cost (β= 1) criteria are considered. Under the assumption that the negatives of the one period holding and shortage costs are unimodal, a unified proof of the existence of an optimal (s.S) policy is given. As a by‐product of the proof upper and lower bounds on the optimal values ofsandSare found. New results simplify the algorithm of Veinottand Wagnerfor finding an optimal (s, S) policy for the case β<1. Further it is shown that the conditions imposed on the one period holding and shortage costs can be weakened

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1971.tb00131.x

出版商:Blackwell Publishing Ltd    

年代:1971

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1971.tb00132.x

出版商:Blackwell Publishing Ltd    

年代:1971

数据来源: WILEY

摘要:

AbstractCochran[3] derives a test of association whenk2 × 2 contingency tables are combined. We show in this paper how to extend Cochran'stest to the combiningof k r×ccontingency tables using a multiple comparison technique similar to the one presented by Dunn[4]. An example is include

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1971.tb00133.x

出版商:Blackwell Publishing Ltd    

年代:1971

数据来源: WILEY

摘要:

SummaryIn this paper a simple model is developed to explain and to predict the results of “binary contacts” in a set ofnsubjects with different powers where couples meet each other in binary contacts. The outcome is explained by a comparison of the respective powers and the random influences. The problem is to estimate the powers of the subjects from observations in the past and to predict the outcomes of future contacts. The model is relevant in many economic and Sociological settings. Here it is applied to the Dutch Football League results to estimate the relative powers of the teams and to predict the outcomes of future matc

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1971.tb00134.x

出版商:Blackwell Publishing Ltd    

年代:1971

数据来源: WILEY

摘要:

An Econometric Model of Age‐Income Profiles, M. M. G. Fase.The Chi‐squared Disstribution, H. O. Lancaster.The Single Server Queue, J. W. Cohen.Emperical Econometrics, J. S. Cra

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1971.tb00135.x

出版商:Blackwell Publishing Ltd    

年代:1971

数据来源: WILEY