Sequential Good-Turing and the Missing Species Problem
(2022) In Master's Theses in Mathematical Sciences MASM02 20221Mathematical Statistics
- Abstract (Swedish)
- This essay introduces the sequential Good-Turing estimator and reviews the
Good-Turing, Good-Toulmin and smoothed Good-Toulmin estimators. Some
theoretical properties and drawbacks of the estimators are described. MonteCarlo simulation is then used to compare the performance of the sequential
Good-Turing estimator to the performance of the Good-Toulmin estimator
along with the smoothed Good-Toulmin estimator, on both real and simulated data.
In certain scenarios the Monte-Carlo method outperforms the smoothed
Good-Toulmin estimator.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9093658
- author
- Andersson, Oskar LU
- supervisor
- organization
- course
- MASM02 20221
- year
- 2022
- type
- H2 - Master's Degree (Two Years)
- subject
- keywords
- Good Turing, The missing Species problem, Good Toulmin, unseen species
- publication/series
- Master's Theses in Mathematical Sciences
- report number
- LUNFMS-3113-2022
- ISSN
- 1404-6342
- other publication id
- 2022:E54
- language
- English
- id
- 9093658
- date added to LUP
- 2022-08-15 17:49:04
- date last changed
- 2022-08-15 18:10:32
@misc{9093658, abstract = {{This essay introduces the sequential Good-Turing estimator and reviews the Good-Turing, Good-Toulmin and smoothed Good-Toulmin estimators. Some theoretical properties and drawbacks of the estimators are described. MonteCarlo simulation is then used to compare the performance of the sequential Good-Turing estimator to the performance of the Good-Toulmin estimator along with the smoothed Good-Toulmin estimator, on both real and simulated data. In certain scenarios the Monte-Carlo method outperforms the smoothed Good-Toulmin estimator.}}, author = {{Andersson, Oskar}}, issn = {{1404-6342}}, language = {{eng}}, note = {{Student Paper}}, series = {{Master's Theses in Mathematical Sciences}}, title = {{Sequential Good-Turing and the Missing Species Problem}}, year = {{2022}}, }