ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475897

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The problem of interest is to estimate the home run ability of 12 great major league players. The usual career home run statistics are the total number of home runs hit and the overall rate at which the players hit them. The observed rate provides a point estimate for a player's “true” rate of hitting a home run. However, this point estimate is incomplete in that it ignores sampling errors, it includes seasons where the player has unusually good or poor performances, and it ignores the general pattern of performance of a player over his career. The observed rate statistic also does not distinguish between the peak and career performance of a given player. Given the random effects model of West (1985), one can detect aberrant seasons and estimate parameters of interest by the inspection of various posterior distributions. Posterior moments of interest are easily computed by the application of the Gibbs sampling algorithm (Gelfand and Smith 1990). A player's career performance is modeled using a log-linear model, and peak and career home run measures for the 12 players are estimated.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475898

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Advertisers have been estimating the potential audience for their advertising campaigns for over 30 years, with varying degrees of success. When abstracted into random variables, their modeling problems become rather tantalizing for statisticians due to awkward inter- and intramedia correlations. The purpose of this article is to introduce more statisticians to fertile areas of research in the advertising industry.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475899

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The question of Census undercount has recently gained considerable attention. The 1990 Post-Enumeration Survey (PES) constituted the major vehicle for measuring coverage by area of the 1990 Decennial Census. It was designed to be used to adjust the Census enumeration. This article discusses the background of the survey, the sampling plan, the methods used to measure Census omissions and Census erroneous enumerations, the treatment of nonresponse, the use of dual-system estimation to estimate the total population by post-strata, and the use of these estimates to calculate adjusted Census data.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475900

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

In the classical birthday problem it is assumed that the distribution of births is uniform throughout the year. Actual United States births, however, follow a seasonal pattern varying between 5% below and 7% above, relative to the average daily frequency of 1/365. We develop a recursive formula for the birthday problem when birthrates are not uniform and use it to show that the difference from the classical solution, for U.S. births, is small. The match probability can be written in terms of the classical solution plus a series of terms which rapidly approach zero.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475901

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

In this article we present a paradox that can be used to illustrate Bayesian principles in the classroom. The paradox is also resolved using a frequentist argument and illustrates how the misapplication of a symmetry argument causes problems.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475902

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The points of a homogeneous Poisson process that fall in each of a string of consecutive intervals are uniformly and independently redistributed over these intervals. It is shown that the resulting point process is again a homogeneous Poisson process. The two processes are stochastically dependent and their superposition is not even stationary. The proofs use only elementary properties and yield useful examples for educational use.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475903

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Functions called generalized means are of interest in statistics because they are simple to compute, have intuitive appeal, and can serve as reasonable parameter estimates. The well-known arithmetic, geometric, and harmonic means are all examples of generalized means. We show how generalized means can be derived in a unified way, as least squares estimates for a transformed data set. We also investigate models that have generalized means as their maximum likelihood estimates.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475904

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

An exercise is presented that checks students' understanding of least squares and reminds them of problems withR2when an intercept is not included in the regression.

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475905

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

ISSN:0003-1305    

DOI:10.1080/00031305.1992.10475906

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor