Showing papers in "Metrika in 1965"
TL;DR: In this paper, eine Methode is angegeben, um die Anzahl der Kugeln im Einheitsvolumen und ihre Grosenordnung aus der nach links abbrechenden Verteilung der Schnittkreisradien zu bestimmen.
Abstract: Es wird eine Methode angegeben, um die Anzahl der Kugeln im Einheitsvolumen und ihre Grosenordnung aus der nach links abbrechenden Verteilung der Schnittkreisradien zu bestimmen.
22 citations
8 citations
TL;DR: In this paper, a comparative study of the generalized estimators proposed by Koop and Murphy is made, and the results of the comparative study are shown in Table 1 : Table 1.
Abstract: ZusammenfassungIn der vorliegenden Arbeit vergleicht der Autor verschiedene vonKoop undMurthy beschriebene Estimatoren.SummaryA comparative study of the generalized estimators proposed byKoop andMurthy is made.
3 citations
2 citations
TL;DR: In this paper, the Statistik wird als ein formalisiertes Sprachsystem gedeutet and verschiedene Statistikaalgorithmen werden uber einenBooleschen Verband gebildet.
Abstract: Die Statistik wird als ein formalisiertes Sprachsystem gedeutet und verschiedene Statistikalgorithmen werden uber einenBooleschen Verband gebildet. Es werden nur nichtstochastische Probleme behandelt.
2 citations
2 citations
IBM1
TL;DR: In this article, an explicit expression for the variance for the mean, of a stratified sample based on the distinct units only, is obtained, and the optimum allocation for the different stratum are obtained by minimizing this variance subject to (i) total sample size being fixed, or (ii) the expected number of distinct units being fixed.
Abstract: In a stratified sample, when sampling is done with replacement in each stratum a better estimate of the population mean can be achieved by considering the distinct units only. An explicit expression for the variance for the mean, of a stratified sample based on the distinct units only, is obtained. Then the optimum allocation for the different stratum are obtained by minimizing this variance subject to (i) total sample size being fixed, or (ii) the expected number of distinct units being fixed. Neyman’s solutions are obtained as special cases. The solutions finally arrived at are algebraically complex, hence, numerical methods are applied. In all examples, the variance of the estimates obtained by this method are smaller than the variances obtained by Neyman’s allocation.
2 citations
2 citations
TL;DR: In this article, it was shown that a certain estimator, applied in the physical sciences to counts of particles, is in general inconsistent: it need not and, normally, does not converge in probability towards the true value of the estimated number; it converges, however, towards a lower bound of it.
Abstract: It is shown that a certain estimator, applied in the physical sciences to counts of particles, is in general inconsistent: it need not and, normally, does not converge in probability towards the true value of the estimated number; it converges, however, towards a lower bound of it. By splitting the process of counting into suitable sub-counts, it appears possible to overcome this difficulty.