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## Adaptive Verteilungsfreie Tests -Nichtparametrische Masse Zur Klassifizierung Von Verteilungen

### Neuere Verfahren der nichtparametrischen Statistik (1985-01-01) 60: 6-27 , January 01, 1985

### Zusammenfassung

Betrachten wir vorab drei Datensätze jeweils für den Fall zweier unabhängiger Stichproben. Beispiel 1 ist dem Buch von Immich (1974) und die Beispiele 2 und 3 sind dem von Daniel (1978) entnommen.

## Analysis of Age, Period, and Cohort Effects in Marital Fertility

### Cohort Analysis in Social Research (1985-01-01): 229-257 , January 01, 1985

Biological factors in the age pattern of fecundity and cultural universals in the age pattern of fertility control result in uniformities in schedules of age-specific marital fertility across diverse human populations. Yet the fertility of married women at a given age depends not only upon age but also upon the previous experience of the cohort (cohort effect) and the social and economic conditions of the time (period effect).

## Neuere Verfahren der nichtparametrischen Statistik

### Neuere Verfahren der nichtparametrischen Statistik (1985-01-01): 60 , January 01, 1985

## Front Matter - Statistics in Ornithology

### Statistics in Ornithology (1985-01-01): 29 , January 01, 1985

## Minimaxity of a preliminary test estimator for the mean of normal distribution

### Annals of the Institute of Statistical Mathematics (1985-12-01) 37: 437-442 , December 01, 1985

### Summary

The problem is to estimate the mean of the normal distribution under the situation where there is vague information that the mean might be equal to zero. A minimax property of the preliminary test estimator obtained by the use of AIC (Akaike information Criterion) procedure is proved under a loss function based on the Kullback-Leibler information measure.

## Applied Seismology

### Maximum-Entropy and Bayesian Methods in Inverse Problems (1985-01-01) 14: 211-242 , January 01, 1985

Geophysical inversion seeks to determine the structure of the interior of the earth from data obtained at the surface. In reflection seismology, the problem is to find inverse methods that give structure, composition, and source parameters by processing the received seismograms. The pioneering work of Jack Cohen and Norman Bleistein on general inverse methods has caused a revolution in the direction of research on longstanding unsolved geophysical problems. This paper does not deal with such general methods but instead gives a survey of some production-type data processing methods in everyday use in geophysical exploration.

## Some convergence theorems on a supercritical Galton-Watson process

### Annals of the Institute of Statistical Mathematics (1985-12-01) 37: 409-414 , December 01, 1985

### Summary

Let*X*=(*X*_{n}; n≧0,*X*_{0}=1) be a supercritical Galton-Watson process. The limiting distribution of
$$\left( {\left( {\sum\limits_{n = 0}^N {X_n } } \right)^{{{ - 1} \mathord{\left/ {\vphantom {{ - 1} 2}} \right. \kern-\nulldelimiterspace} 2}} \left( {\sum\limits_{n = 0}^N {X_{n + r} } - \hat m^r \sum\limits_{n = 0}^N {X_n } } \right);r = 2,3, \ldots ,T} \right)$$
) where
$$\hat m$$
is the m.l.e. of the offspring mean, is derived. As an application of this result, some limit theorems leading ultimately to a parameter free result of statistical interest, are also established.

## Construction of multivariate distributions with given marginals

### Annals of the Institute of Statistical Mathematics (1985-12-01) 37: 225-233 , December 01, 1985

### Summary

We make some remarks on the problem how to construct probability measures with given marginals. Questions of this kind arise if one wants to build a stochastic model in a situation where one has some idea of the kind of dependence and knows exactly certain marginal distributions.

## Strong consistency of least squares estimates in multiple regression

### Herbert Robbins Selected Papers (1985-01-01): 510-512 , January 01, 1985

The strong consistency of least squares estimates in multiple regression models with independent errors is obtained under minimal assumptions on the design and weak moment conditions on the errors.

## Optimal Selection Based on Relative Rank

### Herbert Robbins Selected Papers (1985-01-01): 443-452 , January 01, 1985

*n* rankable persons appear sequentially in random order. At the ith stage we observe the relative ranks of the first i persons to appear, and must either select the ith person, in which case the process stops, or pass on to the next stage. For that stopping rule which minimizes the expectation of the absolute rank of the person selected, it is shown that as *n*→ ∞ this tends to the value
$$\mathop \Pi \limits_{j = 1}^\infty {\left( {\frac{{j + 2}}{j}} \right)^{1/j + 1}} \cong 3.8695.$$