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  Vol. 3 No.6

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African Journal of Mathematics and Computer Science Research Vol. 3(6), pp. 7982, June 2010 Available online at http://www.academicjournals.org/AJMCSR

ISSN 2006-9731 © 2010 Academic Journals 

 

 

Full Length Research Paper

 

Computing leaf rectangularity index: An estimation problem when the parameter is a norm of a vector

 

Isaac Didi Essi

 

Statistics and Econometrics Modeling Group, P. O. Box 11518 (Main GPO) Near Rivers State Judiciary, Port Harcourt, Rivers State, Nigeria. E-mail: ddmetra_utibe@yahoo.com.

 

Accepted 21 April, 2010

 

   Abstract

 

A measure known as leaf rectangularity index (LRI) is estimated by means of bootstrap regression. The index, it is envisaged, will assist in discussing the geometry of leaf surfaces, if possible among different plants and across species. The study shows that one cannot obtain the point estimate of LRI before its interval estimate; rather, the interval estimate comes first before the point estimate. This paper gives the formal steps of obtaining both the point and interval estimate when the parameter is a norm of a vector.

 

Key words: Leaf rectangularity index, bootstrap regression, norm.

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