Relation to U-statistic Sample Clauses

Relation to U-statistic. ‌ The use of U-statistics is an effective way of obtaining unbiased estimators, and even the minimum-variance unbiased estimators. Assume the existence of a sequence of n i. i.d. random variables (or random vectors) Y1, . . . , Yn from an unknown population. For a positive integer m (m ≤ n), the unknown parameter θ that is required to be estimated is of the form θ = E [h(Xx0 , . . . , Xxx )] with a certain function h(·), which is assumed to be symmetric of its m arguments and gives rise to the U-statistic associated with the estimable parameter θ. The U-statistic corresponding to this symmetric function h(·) of order m is defined as U = . n Σ−1Σ Σ(i1,...,im)∈Ωn h (Yi1 , . . . , Xxx ), where n is the sample size, h(·) is called the kernel function, and Ω n = {(i1, . . . , im)|1 ≤ i1 < · · · < im ≤ n} is a set of all possible combinations of m different elements from {1, . . . , n}. For each pair of twins regardless of MZ or DZ type with paired data (Y2j−1,j, Y2j,j)T for twin pair j, let m = 1 and the kernel function be
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Related to Relation to U-statistic

  • Statistical, Demographic or Market-Related Data All statistical, demographic or market-related data included in the Registration Statement, the Disclosure Package or the Prospectus are based on or derived from sources that the Company believes to be reliable and accurate and all such data included in the Registration Statement, the Disclosure Package or the Prospectus accurately reflects the materials upon which it is based or from which it was derived.

  • Statistical Data The statistical, industry-related and market-related data included in the Registration Statement, the Sale Preliminary Prospectus, and/or the Prospectus are based on or derived from sources that the Company reasonably and in good faith believes are reliable and accurate, and such data materially agree with the sources from which they are derived.

  • Statistical Information Any third-party statistical and market-related data included in the Registration Statement, the Time of Sale Disclosure Package and the Prospectus are based on or derived from sources that the Company believes to be reliable and accurate in all material respects.

  • Statistical and Market Data Nothing has come to the attention of the Company that has caused the Company to believe that the statistical and market-related data included in the Registration Statement, the Pricing Disclosure Package and the Prospectus is not based on or derived from sources that are reliable and accurate in all material respects.

  • Statistical Sampling Documentation a. A copy of the printout of the random numbers generated by the “Random Numbers” function of the statistical sampling software used by the IRO.‌ b. A description or identification of the statistical sampling software package used by the IRO.‌

  • Statistical and Marketing-Related Data All statistical or market-related data included or incorporated by reference in the Registration Statement, the Time of Sale Disclosure Package or the Final Prospectus, or included in the Marketing Materials, are based on or derived from sources that the Company reasonably believes to be reliable and accurate, and the Company has obtained the written consent to the use of such data from such sources, to the extent required.

  • RELEASE OF GENERAL INFORMATION TO THE PUBLIC AND MEDIA NASA or Partner may, consistent with Federal law and this Agreement, release general information regarding its own participation in this Agreement as desired. Pursuant to Section 841(d) of the NASA Transition Authorization Act of 2017, Public Law 115-10 (the "NTAA"), NASA is obligated to publicly disclose copies of all agreements conducted pursuant to NASA's 51 U.S.C. §20113(e) authority in a searchable format on the NASA website within 60 days after the agreement is signed by the Parties. The Parties acknowledge that a copy of this Agreement will be disclosed, without redactions, in accordance with the NTAA.

  • Usage Statistics The Distributor shall ensure that the Publisher will provide access to both composite system-wide use data and itemized data for the Licensee, the Participating Institutions, individual campuses and labs, on a monthly basis. The statistics shall meet or exceed the most recent project Counting Online Usage of NeTworked Electronic Resources ("COUNTER") Code of Practice Release,3 including but not limited to its provisions on customer confidentiality. When a release of a new COUNTER Code of Practice is issued, the Distributor shall ensure that the Publisher will comply with the implementation time frame specified by COUNTER to provide usage statistics in the new standard format. It is more than desirable that the Standardized Usage Statistics Harvesting Initiative (SUSHI) Protocol4 is available for the Licensee to harvest the statistics.

  • Drug-Free Workplace Certification As required by Executive Order No. 90-5 dated April 12, 1990, issued by the Governor of Indiana, the Company hereby covenants and agrees to make a good faith effort to provide and maintain a drug-free workplace at the Project Location. The Company will give written notice to the IEDC within ten (10) days after receiving actual notice that the Company, or an employee of the Company in the State of Indiana, has been convicted of a criminal drug violation occurring in the workplace. False certification or violation of this certification may result in sanctions including, but not limited to, suspension of payments under the Agreement, termination of the Agreement and/or debarment of contracting opportunities with the State for up to three (3) years. In addition to the provisions of the above paragraph, if the total amount set forth in the Agreement is in excess of $25,000.00, the Company agrees that it will provide a drug-free workplace by: A. Publishing and providing to all of its employees a statement notifying them that the unlawful manufacture, distribution, dispensing, possession or use of a controlled substance is prohibited in the Company’s workplace, and specifying the actions that will be taken against employees for violations of such prohibition;

  • Statistical and Market-Related Data Any statistical and market-related data included in the Registration Statement, the General Disclosure Package or the Prospectus are based on or derived from sources that the Company believes, after reasonable inquiry, to be reliable and accurate and, to the extent required, the Company has obtained the written consent to the use of such data from such sources.

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