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## Upper bounds for large deviations of dependent random vectors

### Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (1985-12-01) 69: 551-565 , December 01, 1985

## Cohort Analysis in Epidemiology

### A Celebration of Statistics (1985-01-01): 109-143 , January 01, 1985

Epidemiologic cohort studies typically involve the follow-up of large population groups over many years to ascertain the effects of environmental exposures on the outbreak of illness and the age and cause of death. An efficient method of analysis is to fit Poisson regression models to grouped data consisting of a multidimensional classification of disease cases and person-years of observation by discrete categories of age, calendar period, and various aspects of exposure. Extension of these models for use with disease rates and exposure variables that vary continuously with age or time leads to the well-known proportional hazards model. Incorporation of external standard rates is more likely to improve the estimates of exposure effects in additive or excess risk models than in multiplicative or relative risk situations. Examples are provided of the maximum likelihood fitting of such models to data from cohort studies of British doctors and Montana smelter workers. The discussion considers the choice between models and certain problems that may arise when attempting to fit nonmultiplicative relationships.

## Probabilistic Interpretation of Measurement

### The Assay of Spatially Random Material (1985-01-01) 20: 170-227 , January 01, 1985

The previous two Chapters were devoted to developing an efficient computerizable algorithm for evaluating a deterministic measure of performance. We found that this criterion can be used to quantitatively compare alternative assay-system designs. By such comparison one can seek to optimize the number of detectors and their deployment around the sample as well as other related design parameters. However, the deterministic criterion makes no distinction between likely and unlikely spatial distributions of source material in the sample. As a consequence, we concluded that the deterministic measure of performance tends to give a conservative estimate of the relative mass resolution. Its utility is the speed and simplicity with which one may compare a large number of assay-system designs.

## Eine Kennzeichnung der nicht fanoschen Rechtseitebenen durch Inzidenz, Parallelität und Kongruenz

### Journal of Geometry (1985-03-01) 24: 62-73 , March 01, 1985

Rectangular planes of characteristic ≠ 2 in the sense of H. KARZEL [7] will be characterized as incidence spaces with parallelism ∥ and congruence ≡.

## Front Matter - Foundations of Constructive Mathematics

### Foundations of Constructive Mathematics (1985-01-01): 6 , January 01, 1985

## Front Matter - Computational Mathematical Programming

### Computational Mathematical Programming (1985-01-01): 15 , January 01, 1985

## Symbolic calculation of the trace of the power of a tridiagonal matrix

### Computing (1985-09-01) 35: 257-268 , September 01, 1985

An algorithm symbolically calculating the trace of the power of a tridiagonal matrix is proposed. The setting is based on techniques developed from structure analysis and combinatorics. The complexity analysis, the extension and the possible applications of this algorithm are also discussed.

## A trace formula forF-crystals

### Inventiones mathematicae (1985-02-01) 79: 31-48 , February 01, 1985

## The plane piston problem in a weak gravitational field

### Applied Mathematics and Mechanics (1985-01-01) 6: 75-85 , January 01, 1985

We analyze a gasdynamical process in the stellar atmosphere that is driven by a “piston” moving with constant velocity in a weak gravitational field. Ahead of the piston, the gas is compressed, and this compressed gas uses part of its internal energy and somewhere its kinetic energy to overcome the applied gravity.

If we expand the quantities as a series of a small parameter, which is the ratio of a typical escape velocity to the plasma velocity, the basic state gives a uniform flow, as shown by the case of gasdynamical theory without gravity. The first-order relationships show the influence of the applied gravity on the flow fields, that is, the strength of the shock wave changes slightly, the internal energy of the gas exhausts. For the cases of strong shock wave and near the piston, an analytical solution may be approximately obtained and has the similar features.

Because of the importance of the applied gravity in the astrophysical and atmospheric physical processes, these results may shed light on the mechanics of transient process in the stellar and planetary atmosphere.

## Bayesian Revision of the Decision Rule for the Classification of Systemic Lupus Erythematosus

### Prognose- und Entscheidungsfindung in der Medizin (1985-01-01) 62: 392-399 , January 01, 1985

In November 1982, a Subcommittee of the American Rheumatism Association published (1) the revised criteria for the classification of systemic lupus erythematosus (SLE), updating the preliminary list of criteria in use since 1971 (2). As reported by Tan et al., the Subcommittee evaluated 177 patients with SLE, contributed by 18 major institutions from the United States and Canada. The control group comprised 162 age-, sex.-, and race-matched patients with a variety of non-traumatic, non-degenerate connective-tissue diseases. Ninety-five patients in the control group had confirmed rheumatoid arthritis, 16 had scleroderma, 7 had juvenile onset arthritis, 6 had dermatomyositis, and 5 each had ankylosing spondolylitis and psoriatic arthritis. The remaining 28 patients in the control group had been diagnosed to have one of l6 other diseases. Thirty potential criteria variables, including each of the original 1971 preliminary criteria, were analyzed, and 11 were selected for a final set. The 11 final criteria were: malar rash (MAL); discoid rash (DIS); photosensitivity (PHO); oral ulcers (ORA); non-erosive arthritis (ART); serositis (SER); renal disorder (REN) consisting of persistent proteinuria or cellular casts; neurologic disorder (NEU) consisting of seizures or psychosis; hematologic disorder (HEM) consisting of hemolytic anemia or leukopenia or lymphopenia or thrombocytopenia; immunologic disorder (IMM) consisting of positive LE cell preparation or abnormal titers of antibody to native DNA or Sm nuclear antigen or a false positive serologic test for syphilis; abnormal titers of antinuclear antibody (ANA).