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A Pathway Idea for Model Building |
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PP: 15-20 |
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Author(s) |
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A.M. Mathai,
Panagis Moschopoulos,
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Abstract |
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| Models, mathematical or stochastic, which move from one func-
tional form to another through pathway parameters, so that in be-
tween stages can be captured, are examined in this article. Models
which move from generalized type-1 beta family to type-2 beta fam-
ily, to generalized gamma family to generalized Mittag-Leer family
to Levy distributions are examined here. It is known that one can
likely nd an approximate model for the data at hand whether the
data are coming from biological, physical, engineering, social sciences
or other areas. Di erent families of functions are connected through
the pathway parameters and hence one will nd a suitable member
from within one of the families or in between stages of two families.
Graphs are provided to show the movement of the di erent models
showing thicker tails, thinner tails, right tail cut o etc. |
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