A New Generalization of the Logarithmic Distribution Arising from the Inverse Trinomial Distribution

2007 ◽  
Vol 36 (1) ◽  
pp. 3-21 ◽  
Author(s):  
T. F. Khang ◽  
S. H. Ong
Keyword(s):  
Logarithmic Distribution ◽  
Trinomial 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.

A Note on the Trinomial Distribution

1975 ◽  
Vol 43 (2) ◽  
pp. 219 ◽  
Author(s):  
M. A. Hamdan
Keyword(s):  
Trinomial Distribution

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.

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