Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model
Three categories of the spatial data are geostatistical data, lattice data and point pattern data. This thesis focuses on the estimation aspect of the spatial unilateral autoregressive models for spatial lattice data on two-dimensional regular grid. Specifically, this thesis evaluate the efficiency...
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| Format: | Thesis |
| Language: | English |
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2011
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| Online Access: | http://eprints.usm.my/43359/1/LATIFAH%20RAHAYU%20SIREGAR.pdf |
| _version_ | 1825834780054257664 |
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| author | Siregar, Latifah Rahayu |
| author_facet | Siregar, Latifah Rahayu |
| author_sort | Siregar, Latifah Rahayu |
| collection | USM |
| description | Three categories of the spatial data are geostatistical data, lattice data and point pattern data. This thesis focuses on the estimation aspect of the spatial
unilateral autoregressive models for spatial lattice data on two-dimensional regular grid. Specifically, this thesis evaluate the efficiency of the estimators of the first
order spatial unilateral autoregressive model, AR(1,1) using the bootstrapping methods. A comparative studies are done to compare the performance among the available methods for estimating the parameters of AR(1,1) model, namely the Yule- Walker, the unbiased Yule-Walker, the least squares and the maximum likelihood methods. |
| first_indexed | 2024-03-06T15:27:49Z |
| format | Thesis |
| id | usm.eprints-43359 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:27:49Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | usm.eprints-433592019-04-12T05:26:26Z http://eprints.usm.my/43359/ Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model Siregar, Latifah Rahayu QA1 Mathematics (General) Three categories of the spatial data are geostatistical data, lattice data and point pattern data. This thesis focuses on the estimation aspect of the spatial unilateral autoregressive models for spatial lattice data on two-dimensional regular grid. Specifically, this thesis evaluate the efficiency of the estimators of the first order spatial unilateral autoregressive model, AR(1,1) using the bootstrapping methods. A comparative studies are done to compare the performance among the available methods for estimating the parameters of AR(1,1) model, namely the Yule- Walker, the unbiased Yule-Walker, the least squares and the maximum likelihood methods. 2011-12 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/43359/1/LATIFAH%20RAHAYU%20SIREGAR.pdf Siregar, Latifah Rahayu (2011) Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model. Masters thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1 Mathematics (General) Siregar, Latifah Rahayu Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model |
| title | Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model |
| title_full | Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model |
| title_fullStr | Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model |
| title_full_unstemmed | Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model |
| title_short | Bootstrap Methods To Evaluate The Efficiency Of The Estimators Of The Spatial Unilateral AR(1,1) Model |
| title_sort | bootstrap methods to evaluate the efficiency of the estimators of the spatial unilateral ar 1 1 model |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/43359/1/LATIFAH%20RAHAYU%20SIREGAR.pdf |
| work_keys_str_mv | AT siregarlatifahrahayu bootstrapmethodstoevaluatetheefficiencyoftheestimatorsofthespatialunilateralar11model |