scholarly journals On variation in birth processes

1990 ◽  
Vol 22 (2) ◽  
pp. 480-483 ◽  
Author(s):  
M. J. Faddy
Keyword(s):  
Piecewise Linear ◽  
Numerical Results ◽  
Linear Case ◽  
Birth Rates ◽  
Birth Processes

Birth processes with piecewise linear birth rates are analysed, and numerical results suggest that, relative to the linear case, convex birth rates increase variability and concave birth rates decrease variability.

scholarly journals On variation in birth processes

1990 ◽  
Vol 22 (02) ◽  
pp. 480-483 ◽  
Author(s):  
M. J. Faddy
Keyword(s):  
Piecewise Linear ◽  
Numerical Results ◽  
Linear Case ◽  
Birth Rates ◽  
Birth Processes

Birth processes with piecewise linear birth rates are analysed, and numerical results suggest that, relative to the linear case, convex birth rates increase variability and concave birth rates decrease variability.

Correlation and variability in birth processes

1993 ◽  
Vol 30 (02) ◽  
pp. 275-284
Author(s):  
Peter Donnelly ◽  
Thomas Kurtz ◽  
Paul Marjoram
Keyword(s):  
Negative Correlation ◽  
Correlation Structure ◽  
Linear Case ◽  
Birth Process ◽  
Correlation Inequality ◽  
Birth Rates ◽  
Birth Processes

Faddy (1990) has conjectured that the variability of a pure birth process is increased, relative to the linear case, if the birth rates are convex and decreased if they are concave. We prove the conjecture by relating variability to the correlation structure of certain more informative versions of the process. A correlation inequality due to Harris (1977) is used to derive the necessary positive and negative correlation results.

Correlation and variability in birth processes

1993 ◽  
Vol 30 (2) ◽  
pp. 275-284 ◽  
Author(s):  
Peter Donnelly ◽  
Thomas Kurtz ◽  
Paul Marjoram
Keyword(s):  
Negative Correlation ◽  
Correlation Structure ◽  
Linear Case ◽  
Birth Process ◽  
Correlation Inequality ◽  
Birth Rates ◽  
Birth Processes

Faddy (1990) has conjectured that the variability of a pure birth process is increased, relative to the linear case, if the birth rates are convex and decreased if they are concave. We prove the conjecture by relating variability to the correlation structure of certain more informative versions of the process. A correlation inequality due to Harris (1977) is used to derive the necessary positive and negative correlation results.

A Numerical Comparison of Current Mathematical Models of Twisted Wire Cables Under Axisymmetric Loads

1991 ◽  
Vol 113 (4) ◽  
pp. 241-249 ◽  
Author(s):  
C. Jolicoeur ◽  
A. Cardou
Keyword(s):  
Mathematical Models ◽  
Mechanical Behavior ◽  
Numerical Results ◽  
Experimental Results ◽  
Linear Case ◽  
Numerical Comparison ◽  
Tabular Form ◽  
Electrical Conductors ◽  
Twisted Wire

Several mathematical models are currently available to predict the mechanical behavior of twisted wire cables and ACSR electrical conductors subjected to axisymmetric loads. The equations for each model are presented in a standardized form in the linear case and the differences illustrated are shown. Numerical results obtained with each model are presented in tabular form and a comparison made with experimental results reported in the literature.

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