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Handbook of Tables for Order Statistics from Lognormal Distributions with Applications (Hardcover, 1999 ed.)
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Handbook of Tables for Order Statistics from Lognormal Distributions with Applications (Hardcover, 1999 ed.)
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Lognormal distributions are one of the most commonly studied models
in the sta tistical literature while being most frequently used in
the applied literature. The lognormal distributions have been used
in problems arising from such diverse fields as hydrology, biology,
communication engineering, environmental science, reliability,
agriculture, medical science, mechanical engineering, material
science, and pharma cology. Though the lognormal distributions have
been around from the beginning of this century (see Chapter 1),
much of the work concerning inferential methods for the parameters
of lognormal distributions has been done in the recent past. Most
of these methods of inference, particUlarly those based on censored
samples, involve extensive use of numerical methods to solve some
nonlinear equations. Order statistics and their moments have been
discussed quite extensively in the literature for many
distributions. It is very well known that the moments of order
statistics can be derived explicitly only in the case of a few
distributions such as exponential, uniform, power function, Pareto,
and logistic. In most other cases in cluding the lognormal case,
they have to be numerically determined. The moments of order
statistics from a specific lognormal distribution have been
tabulated ear lier. However, the moments of order statistics from
general lognormal distributions have not been discussed in the
statistical literature until now primarily due to the extreme
computational complexity in their numerical determination."
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