Discrete Small Sample Asymptotics

Random variables defined on the natural numbers may often be approximated by Poisson variables. Just as normal approximations may be improved by saddlepoint methods, Poisson approximations may be substantially improved by tilting, expansion, and other related methods. This work will develop and examine the use of these methods, as well as present examples where such methods may be needed.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Statistics

Department dc:contributor.department

Statistics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1999

Author dc:creator

• Kathman, Steven Jay Jr.

Chair dc:contributor.committeechair

• Terrell, George R.

Committee members dc:contributor.committeemember

• Foutz, Robert
• Ye, Keying
• Reynolds, Marion R. Jr.
• Smith, Eric P.

• Tilting
• Poisson approximation
• Generating function

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-121499-161722

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/30101