| Type of Document |
Dissertation |
| Author |
Kathman, Jr., Steven Jay
|
| Author's Email Address |
skathman@vt.edu |
| URN |
etd-121499-161722 |
| Title |
Discrete Small Sample Asymptotics |
| Degree |
PhD |
| Department |
Statistics |
| Advisory Committee |
| Advisor Name |
Title |
| Terrell, George R. |
Committee Chair |
| Foutz, Robert |
Committee Member |
| Reynolds, Marion R. Jr. |
Committee Member |
| Smith, Eric P. |
Committee Member |
| Ye, Keying |
Committee Member |
|
| Keywords |
- Tilting
- Poisson approximation
- Generating function
|
| Date of Defense |
1999-12-07 |
| Availability |
unrestricted |
Abstract
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.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds) |
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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Dissertation.pdf |
522.14 Kb |
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