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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Solving the Differential Equation for the Probit Function Using a Variant of the Carleman Embedding Technique.

Alu, Kelechukwu Iroajanma 07 May 2011 (has links) (PDF)
The probit function is the inverse of the cumulative distribution function associated with the standard normal distribution. It is of great utility in statistical modelling. The Carleman embedding technique has been shown to be effective in solving first order and, less efficiently, second order nonlinear differential equations. In this thesis, we show that solutions to the second order nonlinear differential equation for the probit function can be approximated efficiently using a variant of the Carleman embedding technique.
Carleman embedding
linearization
quantile function
probit function
differential equation
Applied Statistics
Physical Sciences and Mathematics
Statistics and Probability

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