JSM 2011 Online Program

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Abstract Details

Activity Number: 511
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #301338
Title: Design of a Functional Programming for Statistical Analysis
Author(s): Babubhai V. Shah*+
Companies: SAFAL Institute Inc.
Address: 22 Autumn Woods Dr., Durham, NC, 27713,
Keywords: Functional Programming ; statistical analysis ; multi-processor system ; parallel computation
Abstract:

Object oriented languages (APL, S-plus, R) treat multidimensional array as an object, and have bee useful in statistical analysis of data. However, these languages retain Von Neumann style semantics. For implementing a functional programming language an abstract concept of "virtual" dimension is introduced. Its semantics are connected to mathematical sequences. Standard statistical data sets used by statistical procedures in SAS, SPSS, SUDAAN is a special case. We define functions for create these objects and define other objects. A few new primitive functions and a generalization of known scalar and matrix functions make it possible to define most statistical analysis. We illustrate how these concepts help define simulations, iterations as well as summarizations. These definitions expose the potential parallel computation to enable implementation on multi-processor systems.


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