Introducing the new statistics in the classroom.

2019 ◽  
Vol 5 (2) ◽  
pp. 162-168
Author(s):  
Christopher J. Normile ◽  
Emily K. Bloesch ◽  
Christopher C. Davoli ◽  
Kyle C. Scherr
Keyword(s):  
New Statistics

scholarly journals Statistical Tests of Symbolic Dynamics

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 817
Author(s):  
Fernando López ◽  
Mariano Matilla-García ◽  
Jesús Mur ◽  
Manuel Ruiz Marín
Keyword(s):  
Monte Carlo ◽  
Symbolic Dynamics ◽  
Null Hypothesis ◽  
Statistical Tests ◽  
General Applicability ◽  
Monte Carlo Experiments ◽  
The Mean ◽  
Theoretical Application ◽  
New Statistics ◽  
General Method

A novel general method for constructing nonparametric hypotheses tests based on the field of symbolic analysis is introduced in this paper. Several existing tests based on symbolic entropy that have been used for testing central hypotheses in several branches of science (particularly in economics and statistics) are particular cases of this general approach. This family of symbolic tests uses few assumptions, which increases the general applicability of any symbolic-based test. Additionally, as a theoretical application of this method, we construct and put forward four new statistics to test for the null hypothesis of spatiotemporal independence. There are very few tests in the specialized literature in this regard. The new tests were evaluated with the mean of several Monte Carlo experiments. The results highlight the outstanding performance of the proposed test.

Imports to Smyrna between 1794 and 1802: New Statistics from the Ottoman Sources

2008 ◽  
Vol 51 (3) ◽  
pp. 487-512 ◽  
Author(s):  
Mesud Küçükkalay
Keyword(s):  
Eighteenth Century ◽  
Foreign Trade ◽  
Ottoman Empire ◽  
Terms Of Trade ◽  
Transport Maritime ◽  
Economic Trends ◽  
La Modification ◽  
New Statistics ◽  
Trade Partners

AbstractThis study is based on the foreign customs registers of the port of Smyrna in the Ottoman Archives of Istanbul. In this paper 115 ports, 112 ships, 2859 pieces of goods, and 1273 merchants have been investigated for the period 1794-1802. This information indicates that the transformation of the Ottoman Foreign trade at the turn of the eighteenth century was linked to the following economic trends of the second half of the eighteenth and the first half of the nineteenth centuries: the emergence of the European supremacy in naval transportation, a change in the terms of trade that was disadvantageous for the Ottomans, and a shift in the trade partners of the Ottoman Empire. Cette contribution exploite les données des registres de la douane ottomane du port de Smyrne, consignant les importations étrangères, conservés aux archives d'Istanbul. L'étude porte sur les cargaisons de 112 navires en provenance de 115 ports, 2859 pièces de marchandises et 1273 marchands dans les années 1794-1802. Les données témoignent que la transformation du commerce ottoman étranger en fin du XVIIIème siècle est liée aux tendances économiques de la seconde moitié du XVIIIème et de la première moitié du XIXème siècles. Elles reflètent la domination européenne dans le domaine du transport maritime, la modification des conditions commerciales au détriment des Ottomans et un changement des partenaires commerciaux de l'Empire.

scholarly journals Distance-Scaled Water Concentrations versus Mass-Median Drop Size, Temperature, and Altitude in Supercooled Clouds

2008 ◽  
Vol 65 (7) ◽  
pp. 2087-2106 ◽  
Author(s):  
Richard K. Jeck
Keyword(s):  
Stable Condition ◽  
Liquid Water Content ◽  
Common Reference ◽  
Freezing Level ◽  
Convective Clouds ◽  
Stratiform Clouds ◽  
Median Diameter ◽  
Droplet Sizes ◽  
New Statistics ◽  
Mass Median

Abstract About 28 000 nautical miles (n mi) of select in-flight measurements of liquid water content (LWC), droplet sizes, temperature, and other variables in supercooled clouds from a variety of research projects over portions of North America, Europe, and the northern oceans have been compiled into a computerized database for obtaining new statistics on the ranges, frequency of occurrence, and interrelationships of the variables. The LWCs are averaged over uniform cloud intervals of variable length. LWC probabilities are then generated as a function of averaging distance, temperature, droplet mass-median diameter (MMD), altitude, and freezing-level height. These variously scaled LWCs (different averaging intervals from 1 s to 200 n mi) are easily accommodated by distance-based graphing (LWC versus averaging distance). These graphs provide realistic LWCs for modeling, and they can serve as a common reference for comparing LWC measurements over any averaging scale. Maximum recorded LWCs are about 1.6 g m−3 in stratiform clouds and about 5 g m−3 in convective clouds, both over short (<0.5 km) distances. A sharp MMD mode near 15 μm appears to be a stable condition in which the LWCs can be the largest and extend the farthest. The larger the MMD above the mode, the shorter its spatial extent will be, the rarer its occurrence, and the lower the maximum LWC that can be present.

A General Asymptotic Scheme for the Analysis of Partition Statistics

2014 ◽  
Vol 23 (6) ◽  
pp. 1057-1086 ◽  
Author(s):  
PETER J. GRABNER ◽  
ARNOLD KNOPFMACHER ◽  
STEPHAN WAGNER
Keyword(s):  
Generating Function ◽  
Asymptotic Expansions ◽  
Generating Functions ◽  
Singularity Analysis ◽  
Higher Moments ◽  
Integer Partitions ◽  
Classical Singularity ◽  
Random Integer ◽  
Partition Statistics ◽  
New Statistics

We consider statistical properties of random integer partitions. In order to compute means, variances and higher moments of various partition statistics, one often has to study generating functions of the form P(x)F(x), where P(x) is the generating function for the number of partitions. In this paper, we show how asymptotic expansions can be obtained in a quasi-automatic way from expansions of F(x) around x = 1, which parallels the classical singularity analysis of Flajolet and Odlyzko in many ways. Numerous examples from the literature, as well as some new statistics, are treated via this methodology. In addition, we show how to compute further terms in the asymptotic expansions of previously studied partition statistics.

Convergence of Spanish Regions, 1990-2003. A New Approach Using Stochastic Dominance Techniques

2010 ◽  
Author(s):  
Carmelo García ◽  
Ismael Ahamdanech ◽  
Mercedes Prieto
Keyword(s):  
Stochastic Dominance ◽  
Capita Income ◽  
Economic Convergence ◽  
Per Capita Income ◽  
New Approach ◽  
Spanish Regions ◽  
Income Data ◽  
Per Capita ◽  
New Statistics ◽  
Empirical Methodology

The traditional analysis of economic convergence between countries or regions is usually performed by comparing distribution means, such as per-capita income. This kind of analysis, which is intimately related to the economic welfare of a society, presents, however, only a partial approach to measuring economic convergence, given that the disparities within regions or countries are not considered. The empirical methodology used in this article complements the traditional convergence approach, introducing efficiency and inequality aspects of income distribution. Using first and second stochastic dominance, the convergence among Spanish regions from 1990 to 2003 is studied by means of two new statistics developed here. Per-capita income data taken from the Encuesta de Presupuestos Familiares (EPF [the Spanish Household Budget Survey]) of 1990-1991 and the Spanish Survey on Income and Living Conditions (SILC) of 2003 are employed to make the comparisons. We find that a divergence process is taking place in Spain between rich and poor regions

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