ERA

Download the full-sized PDF of A study in determining the sample size in GeostatisticsDownload the full-sized PDF

Analytics

Share

Permanent link (DOI): https://doi.org/10.7939/R3SC96

Download

Export to: EndNote  |  Zotero  |  Mendeley

Communities

This file is in the following communities:

Graduate Studies and Research, Faculty of

Collections

This file is in the following collections:

Theses and Dissertations

A study in determining the sample size in Geostatistics Open Access

Descriptions

Other title
Subject/Keyword
Geostatistics
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Or, Ying Ming
Supervisor and department
Gombay, Edit (Mathematical and Statistical Sciences)
Examining committee member and department
Szepesvari, Csaba (Computing Science)
Mizera, Ivan (Mathematical and Statistical Sciences)
Department
Department of Mathematical and Statistical Sciences
Specialization

Date accepted
2010-09-20T15:22:18Z
Graduation date
2010-11
Degree
Master of Science
Degree level
Master's
Abstract
After the scientific problem of interest is defined, collecting data is the first stage of any statistical analyses. The question of how large the sample should be is thus of great interest. In this thesis we demonstrate that in a geostatistical experiment determining the minimum sample size to achieve a certain precision of an estimator is often not possible due to inconsistencies of the estimators. This thesis is an empirical work extended from a manuscript (Gombay, 2010), which shows that the laws of large numbers may not hold under the spatial setting. It is demonstrated by a simulation study that the variance of the kriged mean converges to a non-zero constant as the sample size keeps increasing. It then followed by further investigations on the simple and ordinary kriging estimators. The conclusions arrived in this thesis lead for further research on the topic.
Language
English
DOI
doi:10.7939/R3SC96
Rights
License granted by Ying Or (yor@math.ualberta.ca) on 2010-09-16 (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication

File Details

Date Uploaded
Date Modified
2014-04-24T23:06:07.330+00:00
Audit Status
Audits have not yet been run on this file.
Characterization
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 4525947
Last modified: 2015:10:18 01:40:47-06:00
Filename: Ying Or's Thesis .pdf
Original checksum: 2f2c5c7f7cf8ad00d68a1257c7a57bdb
Well formed: true
Valid: true
Status message: File header gives version as 1.4, but catalog dictionary gives version as 1.3
Page count: 117
Activity of users you follow
User Activity Date