RMS誤差と確率誤差の関係

書誌事項

タイトル別名
  • Relationshio between Root Mean Square Error and Probable Error.

説明

The relationship between Root Mean Square (RMS) error and probable error was investigated under the condition of normal distribution with independent x, y and z error components. In the ideal case of no bias and equal standard deviations (in the case of two or three dimensions), the ratios of 90% probable error to RMS error are 1.645 (one dimensional normal distribution), 2.144 (two dimension) and 2.333 (three dimension) . Similarly the ratios for 50% probable error are 0.674 (one dimension), 1.177 (two dimension) and 1.500 (three dimension) . The bias within one standard deviation causes the variation of the ratio of 90% probable error to RMS error by the value of 0.0295 (2% of the above ratio) in one dimensional case, 0.0433 (2%) in two dimensional case, and 0.1771 (8%) in three dimensional case. Similarly, the different values of standard deviation within 2 times each other causes the variation of the ratios of 90% probable error to RMS error by the value within 0.3104 (14% of the above ratio) in two dimensional case and 0.2404 (10%) in three dimensional case.

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詳細情報 詳細情報について

  • CRID
    1390282679054724096
  • NII論文ID
    130004371748
  • DOI
    10.4287/jsprs.33.4_15
  • ISSN
    18839061
    02855844
  • 本文言語コード
    ja
  • データソース種別
    • JaLC
    • Crossref
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

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