Strong and weak consistency of least squares estimators in simple linear EV regression models
For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Chen, Pingyan [verfasserIn] Wen, Luliang [verfasserIn] Sung, Soo Hak [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Journal of statistical planning and inference - Amsterdam : North-Holland Publ. Co., 1977, 205, Seite 64-73 |
|---|---|
| Übergeordnetes Werk: |
volume:205 ; pages:64-73 |
| DOI / URN: |
10.1016/j.jspi.2019.06.004 |
|---|
| Katalog-ID: |
ELV002921804 |
|---|
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| 245 | 1 | 0 | |a Strong and weak consistency of least squares estimators in simple linear EV regression models |
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| 520 | |a For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. | ||
| 650 | 4 | |a Strong consistency | |
| 650 | 4 | |a Weak consistency | |
| 650 | 4 | |a Simple linear EV regression model | |
| 700 | 1 | |a Wen, Luliang |e verfasserin |4 aut | |
| 700 | 1 | |a Sung, Soo Hak |e verfasserin |0 (orcid)0000-0002-7354-6640 |4 aut | |
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| 936 | b | k | |a 31.73 |j Mathematische Statistik |
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| 952 | |d 205 |h 64-73 | ||
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10.1016/j.jspi.2019.06.004 doi (DE-627)ELV002921804 (ELSEVIER)S0378-3758(19)30065-5 DE-627 ger DE-627 rda eng 510 000 310 DE-600 31.73 bkl Chen, Pingyan verfasserin aut Strong and weak consistency of least squares estimators in simple linear EV regression models 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. Strong consistency Weak consistency Simple linear EV regression model Wen, Luliang verfasserin aut Sung, Soo Hak verfasserin (orcid)0000-0002-7354-6640 aut Enthalten in Journal of statistical planning and inference Amsterdam : North-Holland Publ. Co., 1977 205, Seite 64-73 Online-Ressource (DE-627)266882307 (DE-600)1468074-9 (DE-576)09405830X 0378-3758 nnns volume:205 pages:64-73 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.73 Mathematische Statistik AR 205 64-73 |
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10.1016/j.jspi.2019.06.004 doi (DE-627)ELV002921804 (ELSEVIER)S0378-3758(19)30065-5 DE-627 ger DE-627 rda eng 510 000 310 DE-600 31.73 bkl Chen, Pingyan verfasserin aut Strong and weak consistency of least squares estimators in simple linear EV regression models 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. Strong consistency Weak consistency Simple linear EV regression model Wen, Luliang verfasserin aut Sung, Soo Hak verfasserin (orcid)0000-0002-7354-6640 aut Enthalten in Journal of statistical planning and inference Amsterdam : North-Holland Publ. Co., 1977 205, Seite 64-73 Online-Ressource (DE-627)266882307 (DE-600)1468074-9 (DE-576)09405830X 0378-3758 nnns volume:205 pages:64-73 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.73 Mathematische Statistik AR 205 64-73 |
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10.1016/j.jspi.2019.06.004 doi (DE-627)ELV002921804 (ELSEVIER)S0378-3758(19)30065-5 DE-627 ger DE-627 rda eng 510 000 310 DE-600 31.73 bkl Chen, Pingyan verfasserin aut Strong and weak consistency of least squares estimators in simple linear EV regression models 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. Strong consistency Weak consistency Simple linear EV regression model Wen, Luliang verfasserin aut Sung, Soo Hak verfasserin (orcid)0000-0002-7354-6640 aut Enthalten in Journal of statistical planning and inference Amsterdam : North-Holland Publ. Co., 1977 205, Seite 64-73 Online-Ressource (DE-627)266882307 (DE-600)1468074-9 (DE-576)09405830X 0378-3758 nnns volume:205 pages:64-73 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.73 Mathematische Statistik AR 205 64-73 |
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10.1016/j.jspi.2019.06.004 doi (DE-627)ELV002921804 (ELSEVIER)S0378-3758(19)30065-5 DE-627 ger DE-627 rda eng 510 000 310 DE-600 31.73 bkl Chen, Pingyan verfasserin aut Strong and weak consistency of least squares estimators in simple linear EV regression models 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. Strong consistency Weak consistency Simple linear EV regression model Wen, Luliang verfasserin aut Sung, Soo Hak verfasserin (orcid)0000-0002-7354-6640 aut Enthalten in Journal of statistical planning and inference Amsterdam : North-Holland Publ. Co., 1977 205, Seite 64-73 Online-Ressource (DE-627)266882307 (DE-600)1468074-9 (DE-576)09405830X 0378-3758 nnns volume:205 pages:64-73 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.73 Mathematische Statistik AR 205 64-73 |
| allfieldsSound |
10.1016/j.jspi.2019.06.004 doi (DE-627)ELV002921804 (ELSEVIER)S0378-3758(19)30065-5 DE-627 ger DE-627 rda eng 510 000 310 DE-600 31.73 bkl Chen, Pingyan verfasserin aut Strong and weak consistency of least squares estimators in simple linear EV regression models 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. Strong consistency Weak consistency Simple linear EV regression model Wen, Luliang verfasserin aut Sung, Soo Hak verfasserin (orcid)0000-0002-7354-6640 aut Enthalten in Journal of statistical planning and inference Amsterdam : North-Holland Publ. Co., 1977 205, Seite 64-73 Online-Ressource (DE-627)266882307 (DE-600)1468074-9 (DE-576)09405830X 0378-3758 nnns volume:205 pages:64-73 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.73 Mathematische Statistik AR 205 64-73 |
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Enthalten in Journal of statistical planning and inference 205, Seite 64-73 volume:205 pages:64-73 |
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Enthalten in Journal of statistical planning and inference 205, Seite 64-73 volume:205 pages:64-73 |
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Strong and weak consistency of least squares estimators in simple linear EV regression models |
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strong and weak consistency of least squares estimators in simple linear ev regression models |
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Strong and weak consistency of least squares estimators in simple linear EV regression models |
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For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. |
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For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. |
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For a simple linear errors-in-variables regression model, we obtain a necessary and sufficient condition for the convergence rate in the strong consistency of the least squares estimator for each of the unknown parameters. We also obtain a necessary and sufficient condition for the convergence rate in the weak consistency. |
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