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Study of Asymptotic Distribution of Statistics in Sample Survey

Research Project

Project/Area Number 16K03599
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Economic statistics
Research InstitutionAoyama Gakuin University

Principal Investigator

Motoyama Hitoshi  青山学院大学, 経済学部, 教授 (20383490)

Project Period (FY) 2016-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords標本調査 / 漸近理論 / 統計調査 / 漸近分布 / レコード・リンケージ / 標本調査法
Outline of Final Research Achievements

In this study, we investigated the asymptotic theory of statistics in sample surveys. We have clarified the asymptotic distribution and its presupposed regular conditions for several basic statistics often used in statistical analysis. It provided a mathematical basis for the analysis of economic and social data based on survey data.
In addition, we practiced research based on the analysis of actual economic data.

Academic Significance and Societal Importance of the Research Achievements

本研究は、従来の統計学・計量経済学の分析の多くで用いられていた、統計量の分布評価が標本が独立で同一の分布に従う場合や時系列データが中心であったのに対し、統計調査によって得られたミクロデータの分析への応用を意図し、標本調査の枠組みである有限母集団からの非復元抽出での統計量の分布を評価した。
本研究で得られた結果は、経済のミクロデータ分析を行う上での基礎理論を与えるものである。

Report

(6 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (14 results)

All 2020 2019 2018 2017 2016

All Journal Article (7 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (5 results) Book (2 results)

  • [Journal Article] 有限母集団からの非復元単純無作為標本において中央値の漸近分布が正規分布以外となる一例2019

    • Author(s)
      元山斉
    • Journal Title

      青山経済論集

      Volume: 70 Pages: 31-37

    • Related Report
      2018 Research-status Report
  • [Journal Article] SOME MATHEMATICAL PROPERTIES OF THE AGsi-curve — A NEW GRAPHICAL METHOD FOR CLASSIFYING SPATIAL POINT PATTERNS —2018

    • Author(s)
      髙井勉、田村義保、元山斉
    • Journal Title

      Bulletin of the Computational Statistics of Japan

      Volume: 31 Issue: 2 Pages: 77-99

    • DOI

      10.20551/jscswabun.31.2_77

    • NAID

      130007815482

    • ISSN
      0914-8930, 2189-9789
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] "Extensive Use of Official Statistics"2018

    • Author(s)
      Yasuto Yoshizoe, Masuo Araki, and Hitoshi Motoyama
    • Journal Title

      Aoyama Business Review

      Volume: 40 Pages: 1-60

    • Related Report
      2017 Research-status Report
  • [Journal Article] 元山斉「調査ウェイトを用いた加重最小2乗法におけるCp基準について」2017

    • Author(s)
      元山斉
    • Journal Title

      「青山経済論集」(本間照光名誉教授記念号)

      Volume: 69(3) Pages: 61-68

    • Related Report
      2017 Research-status Report
  • [Journal Article] "A New Graphical Approach to Classify Spatial Point Patterns based on Hierachical Cluster Analysis"2017

    • Author(s)
      Tsutomu Takai, Yoshiyasu Tamura and Hitoshi Motoyama
    • Journal Title

      Journal of the Japanese Society of Computational Statistics

      Volume: 30(1) Pages: 1-14

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] "Classical and quantum conditional measures from a categorical viewpoint"2017

    • Author(s)
      Hitoshi Motoyama and Kohei Tanaka
    • Journal Title

      数理解析研究所(RIMS)講究録(京都大学)2059「RIMS共同研究(公開型)量子システム推定の数理」

      Volume: 2059 Pages: 84-102

    • Related Report
      2017 Research-status Report
  • [Journal Article] 有限母集団からの非復元単純無作為標本に基づく中央値の漸近正規性の一証明2016

    • Author(s)
      元山斉
    • Journal Title

      青山経済論集

      Volume: 68 Pages: 67-75

    • Related Report
      2016 Research-status Report
  • [Presentation] Financial Stability, Impossible Trinity, and Macroprudential Policy2018

    • Author(s)
      高準亨、元山斉、佐志田晶夫
    • Organizer
      日本経済学会秋季大会, 学習院大学目白キャンパス
    • Related Report
      2018 Research-status Report
  • [Presentation] "Energy Saving Potential of Replacing the Old Refrigerator: Evidence from Comparative Case Study of Japanese Household"2017

    • Author(s)
      坂本 智幸、元山斉
    • Organizer
      日本経済学会 秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 「AGsi-curveによる空間点パターンの分類とその数理的背景」2017

    • Author(s)
      髙井 勉、田村義保、元山 斉
    • Organizer
      日本計算機統計学会
    • Related Report
      2017 Research-status Report
  • [Presentation] Causal Effect of Replacement into Newly Refrigerator on Electricity Consumption in Household2016

    • Author(s)
      坂本智幸、元山斉
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      金沢大学角間キャンパス
    • Related Report
      2016 Research-status Report
  • [Presentation] 圏論的視点からの量子確率論について2016

    • Author(s)
      田中康平、元山斉
    • Organizer
      京都大学 数理研究所 研究集会「量子システム推定の数理」
    • Place of Presentation
      京都大学吉田キャンパス
    • Related Report
      2016 Research-status Report
  • [Book] スタンダード 経済データの統計分析2020

    • Author(s)
      美添 泰人,荒木 万寿夫,元山 斉
    • Total Pages
      238
    • Publisher
      培風館
    • ISBN
      4563010286
    • Related Report
      2020 Annual Research Report
  • [Book] 事例でわかる統計シリーズ 経済・経営系のための統計入門2016

    • Author(s)
      景山 三平(監修),元山 斉,伊藤 有希,高橋 一(編集)
    • Total Pages
      188
    • Publisher
      実教出版
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2022-01-27  

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