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Talk:Kriging

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74: 53: 257: 163: 142: 173: 1257:"The fact that these models incorporate uncertainty in their conceptualization doesn't mean that the phenomenon - the forest, the aquifer, the mineral deposit - has resulted from a random process, but solely allows to build a methodological basis for the spatial inference of quantities in unobserved locations and to the quantification of the uncertainty associated with the estimator." 22: 665: 1341:
Both the capitalised 'Kriging' and non-capitalised 'kriging' words are found in the literature, however I have found the non-capitalisation instance more widespread in primary publications. Therefore it seems appropriate to restore this to what the article had pre-March 2016. Feel free to jump in and
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Adams, B.M., Bauman, L.E., Bohnhoff, W.J., Dalbey, K.R., Ebeida, M.S., Eddy, J.P., Eldred, M.S., Hough, P.D., Hu, K.T., Jakeman, J.D., Swiler, L.P., and Vigil, D.M., "DAKOTA, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and
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It is not appropriate to redirect Gaussian Process Regression (GPR) to Kriging. When the random field is stationary Gaussian, Kriging and GPR have similarities, but Kriging (OK and its variants) is in general builts on the top of intrinsically stationary random fields (not Gaussian random fields).
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I think the explanation given in the Dakota User Manual version 6, chapter 8.4.3.5 is a bit better than the wiki article's. For instance equation 8.20 in the user manual is insightful from the background of function approximation. This wiki article lacks anything as clear and simple as the
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First, the tack-on is unclear whether it references Krige or his thesis. Second, is "pioneering plotter of" merely an elegant variation of the staid "which considers the"? If so, I prescribe woodshed, bullet, gun, hasty grave. I think "pioneering" is already implied here. —
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We need to add a pronunciation of this word as I have heard in the industry three different pronunciations. Danie G. Krige was South African. So, Krige is pronounced Kreeg-a, Therefore, the correct pronunciation for Kriging is Kreeg-ing not Kryg-ing nor Kry-jing.
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In section "Geostatistical estimator" prior to the first set of equations of the section, the article says: "the correlation between two random variables solely depends on the spatial distance...", and then proceeds to introduce several expressions in terms of
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The proof that in simple kriging the sum of weights equals 1 is wrong. It implicitly assumes that the means are non zero. If the means are zero, the equation can't be divided by it. I'm not a professional so I don't know what the right thing to do is.
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This sentence, while admirably attempting to explain the concept in simple English, adds nothing pertinent; in my opinion, it adds confusion. The idea that something results from a random process or not is ambiguous, given the
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Remove this sentence "The English verb is to krige and the most common noun is kriging; both are often pronounced with a hard "g", following an Anglicized pronunciation of the name "Krige"."
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The theoretical basis for the method was developed by the French mathematician Georges Matheron in 1960, based on the Master's thesis of Danie G. Krige,
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This article says, "The first step in geostatistical modulation is to create a random process that best describes the set of observed data."
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This means that, when the samples are farther away from {\displaystyle x_{0}}x_{0}, the estimation becomes worse.
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This means that, the farther the samples are away from {\displaystyle x_{0}}x_{0}, the worse the estimation.
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This means that, when the samples are farther away from {\displaystyle x_{0}}x_{0}, the worse the estimation.
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https://www.researchgate.net/post/Why_should_data_follow_normal_distribution_for_ordinary_kriging_analysis
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Sensitivity Analysis: Version 5.4 User's Manual," Sandia Technical Report SAND2014-4633, July 2014.
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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I second this opinion. This section is confusing in several places as it doesn't define symbols.
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refers to correlation. Going further with the explanation, however, one finds that the formula:
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resource. If you would like to participate, you can choose to edit this article, or visit the
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distance-weighted average gold grades at the Witwatersrand reef complex in South Africa.
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What does "modulation" here mean? Is this supposed to say "geostatistical modeling"?
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are said to be variograms and co-variograms, but these are not the same as
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is supposed to be a constant, the number of samples, and not a function of
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means, this section is confusing to someone novel in the matter as me.
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I plan to update the pronunciation to /kri:gɪŋ/ which is KREE-ging -
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explanation given in the user manual. The manual is available from
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5. Application (potentially with R/ArcGIS/Python modules)
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cannot be the covariance since a few equations later,
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Geostatistical estimator: correlation or covariance?
85:, a collaborative effort to improve the coverage of 1290:Kriging for use in interpolation needs improvement 1228: 1177: 1151: 1131: 1111: 1044: 977: 946: 915: 893: 873: 842: 775: 690: 659: 462: 442: 670:is more related to the covariance, as defined in 1370:can look at D. Myers' responds on researchgate 1500:, Krige (ˈkriχə). (2 syllables like Kreeg-a). 294:This page has archives. Sections older than 8: 1558:has the IPA pronunciation as /ˌˈkɹiːɡɪŋ/ - 1462:Article needs to be rewritten for clarity. 1378:Also a suggestion regarding the structure: 1463: 1409: 1253:Explanation of the use of random processes 1112:{\displaystyle \gamma (Z(x_{1}),Z(x_{2}))} 843:{\displaystyle \gamma (Z(x_{1}),Z(x_{2}))} 339: 136: 47: 1214: 1190: 1164: 1144: 1124: 1097: 1075: 1057: 1030: 1008: 990: 967: 959: 936: 928: 908: 906: 886: 863: 855: 828: 806: 788: 761: 739: 721: 683: 649: 640: 621: 595: 586: 567: 542: 535: 524: 509: 497: 486: 478: 455: 428: 406: 388: 1573:Sum of weights equals one proof is wrong 1362:Kriging v.s. Gaussian Process Regression 1627:Mid-importance C-Class Geology articles 1517:Add footnote: To honor Danie G. Krige ( 304:when more than 10 sections are present. 138: 49: 19: 1402:3.3 Hybrid (regression-K, Bayesian K) 1229:{\displaystyle Var(\epsilon (x_{0}))} 978:{\displaystyle \gamma (\mathbf {h} )} 7: 1045:{\displaystyle C(Z(x_{1}),Z(x_{2}))} 776:{\displaystyle C(Z(x_{1}),Z(x_{2}))} 443:{\displaystyle C(Z(x_{1}),Z(x_{2}))} 79:This article is within the scope of 1607:High-importance Statistics articles 1396:3.1 OK (with SK as a special case) 1297:http://dakota.sandia.gov/index.html 38:It is of interest to the following 14: 1556:https://en.wiktionary.org/kriging 1458:Convoluted, inaccessible language 298:may be automatically archived by 1538:https://languagehat.com/kriging/ 968: 937: 909: 864: 650: 596: 543: 510: 487: 255: 171: 161: 140: 99:Knowledge:WikiProject Statistics 72: 51: 20: 1622:Mid-importance Geology articles 1612:WikiProject Statistics articles 947:{\displaystyle C(\mathbf {h} )} 874:{\displaystyle N(\mathbf {h} )} 227:This article has been rated as 119:This article has been rated as 102:Template:WikiProject Statistics 1399:3.2 Variants (UK, CoK, DK/IK) 1299:, and may be cited similar to 1223: 1220: 1207: 1201: 1106: 1103: 1090: 1081: 1068: 1062: 1039: 1036: 1023: 1014: 1001: 995: 972: 964: 941: 933: 868: 860: 837: 834: 821: 812: 799: 793: 770: 767: 754: 745: 732: 726: 654: 633: 627: 614: 600: 579: 573: 560: 547: 539: 514: 506: 491: 483: 437: 434: 421: 412: 399: 393: 311:Unclear phrasing of a sentence 1: 711:05:53, 28 November 2013 (UTC) 450:, giving the impression that 207:Knowledge:WikiProject Geology 93:and see a list of open tasks. 1632:WikiProject Geology articles 1550:15:11, 24 October 2022 (UTC) 1428:17:24, 19 October 2018 (UTC) 1357:21:49, 11 January 2017 (UTC) 1159:appears at the same time as 916:{\displaystyle \mathbf {h} } 210:Template:WikiProject Geology 1602:C-Class Statistics articles 1536:Based on the discussion at 1387:2.1 Intrinsic Stationarity 1648: 1319:02:21, 8 August 2014 (UTC) 1285:17:31, 26 March 2014 (UTC) 233:project's importance scale 1588:15:58, 25 June 2022 (UTC) 1568:20:21, 20 June 2023 (UTC) 1482:16:05, 16 June 2019 (UTC) 1441:the pioneering plotter of 1342:discuss more, if needed. 373:19:52, 19 June 2020 (UTC) 358:19:50, 19 June 2020 (UTC) 226: 156: 118: 67: 46: 1617:C-Class Geology articles 1531:13:23, 13 May 2021 (UTC) 1453:21:05, 30 May 2019 (UTC) 1248:15:50, 9 May 2017 (UTC) 323:sounds a bit strange. 1470:Archimedes of Syracuse 1445: 1230: 1185:(in the expression of 1179: 1153: 1133: 1113: 1046: 979: 948: 917: 895: 875: 844: 777: 692: 661: 551: 464: 444: 301:Lowercase sigmabot III 82:WikiProject Statistics 28:This article is rated 1437: 1231: 1180: 1154: 1134: 1114: 1047: 980: 949: 918: 896: 876: 845: 778: 693: 662: 520: 465: 445: 326:It should be either: 315:I think the sentence 201:for more information. 1189: 1163: 1143: 1123: 1056: 989: 958: 927: 905: 885: 854: 787: 720: 682: 477: 454: 387: 1510:Add pronunciation ( 1178:{\displaystyle Cov} 190:WikiProject Geology 105:Statistics articles 1434:Pioneering plotter 1390:2.2 Spatial BLUP 1325:modulation --: --> 1226: 1175: 1149: 1129: 1109: 1042: 975: 944: 913: 891: 871: 840: 773: 688: 657: 460: 440: 34:content assessment 1484: 1468:comment added by 1430: 1414:comment added by 1309:comment added by 1152:{\displaystyle C} 1132:{\displaystyle C} 894:{\displaystyle N} 691:{\displaystyle C} 518: 463:{\displaystyle C} 360: 344:comment added by 308: 307: 247: 246: 243: 242: 239: 238: 135: 134: 131: 130: 1639: 1520: 1513: 1355: 1353: 1348: 1321: 1235: 1233: 1232: 1227: 1219: 1218: 1184: 1182: 1181: 1176: 1158: 1156: 1155: 1150: 1138: 1136: 1135: 1130: 1118: 1116: 1115: 1110: 1102: 1101: 1080: 1079: 1051: 1049: 1048: 1043: 1035: 1034: 1013: 1012: 984: 982: 981: 976: 971: 953: 951: 950: 945: 940: 922: 920: 919: 914: 912: 900: 898: 897: 892: 880: 878: 877: 872: 867: 849: 847: 846: 841: 833: 832: 811: 810: 783:is not defined, 782: 780: 779: 774: 766: 765: 744: 743: 697: 695: 694: 689: 666: 664: 663: 658: 653: 645: 644: 626: 625: 607: 603: 599: 591: 590: 572: 571: 550: 546: 534: 519: 517: 513: 498: 490: 469: 467: 466: 461: 449: 447: 446: 441: 433: 432: 411: 410: 303: 287: 259: 251: 215: 214: 213:Geology articles 211: 208: 205: 181: 176: 175: 165: 158: 157: 152: 144: 137: 125:importance scale 107: 106: 103: 100: 97: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 1647: 1646: 1642: 1641: 1640: 1638: 1637: 1636: 1592: 1591: 1575: 1490: 1460: 1436: 1405:4. 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Theory 1273:randomness 674:, than to 672:Covariance 96:Statistics 87:statistics 59:Statistics 1503:Proposal 1326:modeling? 1266:different 881:neither ( 850:neither, 1512:ˈkriχ:ɪŋ 1478:contribs 1466:unsigned 1424:contribs 1416:Kyle YKS 1412:unsigned 1307:unsigned 1277:Surement 1240:Nbonneel 1119:. 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