A q-Logarithmic Distribution

1997 ◽  
pp. 465-470 ◽  
Author(s):  
C. David Kemp
Keyword(s):  
Logarithmic Distribution

MIGRATION THROUGH SURNAMES IN CAMPOBASSO PROVINCE, ITALY

2001 ◽  
Vol 33 (2) ◽  
pp. 305-310 ◽  
Author(s):  
G. BIONDI ◽  
P. RASPE ◽  
C. G. N. MASCIE-TAYLOR
Keyword(s):  
Sample Size ◽  
Logarithmic Distribution ◽  
Molise Region ◽  
Female Marriage

Data on grandparental surnames were obtained from schoolchildren in 22 communes from Campobasso Province, Italy (Molise Region). The distribution of surnames was shown to be almost exactly linear by a log2–log2 transformation, which justified the fitting of the data to Fisher’s logarithmic distribution. The values for ν were higher among women. When ν was standardized to minimize bias due to sample size, the value was one-third the estimate of migration from exogamy data. The higher values of ν for females indicate that there is greater mobility of female marriage partners than males.

scholarly journals Study on hydraulic resistance of erodible bed at the Chiyoda experimental flume

2014 ◽  
Vol 39 ◽  
pp. 81-87
Author(s):  
T. Kakinuma ◽  
T. Inoue ◽  
R. Akahori ◽  
A. Takeda
Keyword(s):  
Large Scale ◽  
Flow Distribution ◽  
Longitudinal Survey ◽  
Sand Wave ◽  
Vertical Flow ◽  
Sand Waves ◽  
Wave Development ◽  
Logarithmic Distribution ◽  
Steady Flow Condition ◽  
Experimental Flume

Abstract. The authors made erodible bed experiments under steady flow condition at the Chiyoda Experimental Flume, a large-scale facility constructed on the floodplain of the Tokachi River, and observed sand waves on the bed of the flume. In this study, the characteristics of the sand waves are examined along the longitudinal survey lines and confirmed to be dunes. Next, the authors estimated Manning's roughness coefficients from the observed hydraulic values and assumed that the rise of the coefficients attributed to the sand wave development. Finally, vertical flow distribution on the sand waves are examined, and observed velocity distribution on the crest of waves found to be explained by the logarithmic distribution theory.

scholarly journals FIRST DIGIT DISTRIBUTION OF HADRON FULL WIDTH

2009 ◽  
Vol 24 (40) ◽  
pp. 3275-3282 ◽  
Author(s):  
LIJING SHAO ◽  
BO-QIANG MA
Keyword(s):  
Real World ◽  
Particle Physics ◽  
Benford’S Law ◽  
Full Width ◽  
Scale Invariant ◽  
Benford's Law ◽  
Science Domain ◽  
Logarithmic Distribution ◽  
First Time ◽  
Power Invariant

A phenomenological law, called Benford's law, states that the occurrence of the first digit, i.e. 1, 2,…, 9, of numbers from many real world sources is not uniformly distributed, but instead favors smaller ones according to a logarithmic distribution. We investigate, for the first time, the first digit distribution of the full widths of mesons and baryons in the well-defined science domain of particle physics systematically, and find that they agree excellently with the Benford distribution. We also discuss several general properties of Benford's law, i.e. the law is scale-invariant, base-invariant and power-invariant. This means that the lifetimes of hadrons also follow Benford's law.

Investigation of Electrical Breakdown in Air Using an Image Processing Technique

1992 ◽  
Vol 29 (4) ◽  
pp. 313-320 ◽  
Author(s):  
D. B. Watson ◽  
M. I. Barber ◽  
K. A. Samuels
Keyword(s):  
Image Processing ◽  
High Voltage ◽  
Electrical Breakdown ◽  
Processing Technique ◽  
Image Processing Technique ◽  
Track Segment ◽  
Video Recordings ◽  
High Voltage Breakdown ◽  
Logarithmic Distribution ◽  
Voltage Breakdown

Investigation of electrical breakdown in air using an image processing technique Video recordings of high-voltage breakdown tracks between electrodes in air have been analysed using an image processing technique. The paper discusses the tortuosity of the breakdown tracks, and a logarithmic distribution of track segment lengths has been found.

scholarly journals A New Burr XII-Weibull-Logarithmic Distribution for Survival and Lifetime Data Analysis: Model, Theory and Applications

Stats ◽  
2018 ◽  
Vol 1 (1) ◽  
pp. 77-91
Author(s):  
Broderick Oluyede ◽  
Boikanyo Makubate ◽  
Adeniyi Fagbamigbe ◽  
Precious Mdlongwa
Keyword(s):  
Likelihood Estimation ◽  
Real Data ◽  
Model Parameters ◽  
Data Sets ◽  
Analysis Model ◽  
Conditional Moments ◽  
Compound Distribution ◽  
Lifetime Data Analysis ◽  
Logarithmic Distribution ◽  
New Distribution

A new compound distribution called Burr XII-Weibull-Logarithmic (BWL) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Burr XII-Exponential-Logarithmic, Burr XII-Rayleigh-Logarithmic, Burr XII-Logarithmic, Lomax-Exponential-Logarithmic, Lomax–Rayleigh-Logarithmic, Weibull, Rayleigh, Lomax, Lomax-Logarithmic, Weibull-Logarithmic, Rayleigh-Logarithmic, and Exponential-Logarithmic distributions. Some statistical properties of the proposed distribution including moments and conditional moments are presented. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, applications of the model to real data sets are presented to illustrate the usefulness of the proposed distribution.

Introduction

2015 ◽  
Author(s):  
Arno Berger ◽  
Theodore P. Hill
Keyword(s):  
Numerical Data ◽  
Benford’S Law ◽  
Decimal Digit ◽  
Mathematical Framework ◽  
Benford's Law ◽  
History Of ◽  
Logarithmic Distribution ◽  
Benford Law ◽  
Special Case

This introductory chapter provides an overview of Benford' law. Benford's law, also known as the First-digit or Significant-digit law, is the empirical gem of statistical folklore that in many naturally occurring tables of numerical data, the significant digits are not uniformly distributed as might be expected, but instead follow a particular logarithmic distribution. In its most common formulation, the special case of the first significant (i.e., first non-zero) decimal digit, Benford's law asserts that the leading digit is not equally likely to be any one of the nine possible digits 1, 2, … , 9, but is 1 more than 30 percent of the time, and is 9 less than 5 percent of the time, with the probabilities decreasing monotonically in between. The remainder of the chapter covers the history of Benford' law, empirical evidence, early explanations and mathematical framework of Benford' law.

Velocity distributions under floating covers

1982 ◽  
Vol 9 (1) ◽  
pp. 76-83 ◽  
Author(s):  
Y. L. Lau
Keyword(s):  
Turbulence Model ◽  
Maximum Velocity ◽  
Channel Flows ◽  
Flow Depth ◽  
Flow Properties ◽  
Mean Velocity ◽  
Bottom Boundary ◽  
Standard Procedures ◽  
Logarithmic Distribution ◽  
The Mean

The [Formula: see text] turbulence model has been used to calculate the velocity distributions for a large number of channel flows with different top and bottom boundary roughnesses. The resulting distributions are used to review the standard procedures for stream gauging of ice-covered flows. It is found that the average of the velocities at [Formula: see text] and [Formula: see text] of the depth is indeed very nearly equal to the overall mean velocity. Examination of the velocity profiles shows that the profiles deviate from the logarithmic distribution for about 40% of the flow depth. Other flow properties, such as the location of the maximum velocity and the mean velocities in the top and bottom layers, are also examined.

scholarly journals Smooth Open Channel with Increasing Aspect Ratio: Influence on Secondary Flow

Water ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1872
Author(s):  
Siyu Jing ◽  
Wenjun Yang ◽  
Yue Chen
Keyword(s):  
Aspect Ratio ◽  
Velocity Distribution ◽  
Secondary Flow ◽  
Open Channel ◽  
Maximum Velocity ◽  
Secondary Flows ◽  
Measuring Instruments ◽  
Contour Maps ◽  
Aspect Ratios ◽  
Logarithmic Distribution

A high-resolution particle image velocitmetry system is used to investigate the relationship between secondary flow and aspect ratio in a straight channel. Considering the symmetry of open channel flow, the flow parameters in half of the flume are measured. Since the variation of the aspect ratio has a direct impact on the intensity and structure of secondary flows, this study was conducted in a smooth open channel to study the influence of aspect ratio on the structure and strength of secondary flows with aspect ratio change from 3 to 7.5 under supercritical flow condition. Profiles and contour-maps of time-averaged stream-wise and vertical velocities were acquired using precise measuring instruments. The results show that there are several secondary flow cells in the cross section, and their structure affects the velocity distribution and energy distribution, which makes the velocity distribution deviate from the traditional logarithmic distribution, and the maximum velocity occur below the surface. The flow intensity of secondary flows is different under different aspect ratios. Results show great agreement with classical theory.

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