Bayesian Restricted Maximum Likelihood Sample Clauses

Bayesian Restricted Maximum Likelihood. ‌ Compared with Xxxxxxxx’x method, an implementation of restricted maximum like- lihood (ReML) (Xxxxxxxx, 1977), a modified ikelihood-based estimation method by applying the maximum-likelihood principles to the residuals (see more details in Section 3.3.1), is embedded in the Statistical Parametric Mapping (SPM) software 1 in MATLAB. The SPM software package, including a suite of MATLAB functions and subroutines (with some externally compiled C routines), is designed for the brain imaging data analysis, and is freely available to the neuroimaging community. Previous studies showed that this Bayesian ReML approach in SPM is more accur- ate than Xxxxxxxx’x method in heritability estimation, producing the estimates with lower bias and smaller variance (Xxxxxxx et al., 2009). SPM uses a non-standard ReML implementation, a Bayesian version of ReML, for the estimation of variance components (hyperparameters in the hierarchical model) with a Gaussian prior, where the log transformation can be further employed to en- force the non-negative constraints on variance components 2. In Bayesian inference, the parameters are treated as random variables with a Gaussian distribution, and a linear hierarchical model for timeseries Y from all subjects can be constructed as Y = X(1)θ(1) + s(1), θ(1) = X(2)θ(2) + s(2), where X(i) is the specified design matrix at level i, θ(i) are parameters at level i, and the errors s(i) at level i are distributed as N(0, C(i)). The covariance matrix C(i) can be written as C(i) = Σ j ρj (i) Q(i), where the hyperparameters ρj (i) are variance 1xxxx://xxx.xxx.xxx.xxx.xx.xx/spm/ 2For reference, the SPM user-recommended configuration for the Gaussian prior distribution of log-hyperparameters is with hyperprior expectation hE = log(Var(Y)) 1 and hyperprior covariance hC = exp(8), both of which were shown to be preferable to other settings in simulations in terms of estimation accuracy and model selection. components at level i and Q(i) is the corresponding basis set. This two-level model is identical to a non-hierarchical model: Y = X(1)X(2)θ(2) + X(1)s(2) + s(1), and can be re-written as Y = Xθ + s(1), X = [X(1), X(1)X(2)], θ = [s(2), θ(2)]T.
Sample 1
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Related to Bayesian Restricted Maximum Likelihood

  • DATABASE OF RESTRICTED SUPPLIER The process of restriction is used to exclude a company/person from conducting future business with Transnet and other organs of state for a specified period. No Bid shall be awarded to a Bidder whose name (or any of its members, directors, partners or trustees) appear on the Register of Tender Defaulters kept by National Treasury, or who have been placed on National Treasury’s List of Restricted Suppliers. Transnet reserves the right to withdraw an award, or cancel a contract concluded with a Bidder should it be established, at any time, that a bidder has been restricted with National Treasury by another government institution.

  • Default Not Exceeding 10% of Firm Shares or Option Shares If any Underwriter or Underwriters shall default in its or their obligations to purchase the Firm Shares or the Option Shares, if the Over-allotment Option is exercised hereunder, and if the number of the Firm Shares or Option Shares with respect to which such default relates does not exceed in the aggregate 10% of the number of Firm Shares or Option Shares that all Underwriters have agreed to purchase hereunder, then such Firm Shares or Option Shares to which the default relates shall be purchased by the non-defaulting Underwriters in proportion to their respective commitments hereunder.

  • Default Not Exceeding 10% of Firm Units or Option Units If any Underwriter or Underwriters shall default in its or their obligations to purchase the Firm Units or the Option Units, if the Over-allotment Option is exercised, hereunder, and if the number of the Firm Units or Option Units with respect to which such default relates does not exceed in the aggregate 10% of the number of Firm Units or Option Units that all Underwriters have agreed to purchase hereunder, then such Firm Units or Option Units to which the default relates shall be purchased by the non-defaulting Underwriters in proportion to their respective commitments hereunder.

  • System for Award Management (XXX) Requirement Alongside a signed copy of this Agreement, Grantee will provide Florida Housing with a XXX.xxx proof of registration and Commercial and Government Entity (CAGE) number. Grantee will continue to maintain an active XXX registration with current information at all times during which it has an active award under this Agreement.

  • Default Not Exceeding 10% of Firm Units If any Underwriter or Underwriters shall default in its or their obligations to purchase the Firm Units and if the number of the Firm Units with respect to which such default relates does not exceed in the aggregate 10% of the number of Firm Units that all Underwriters have agreed to purchase hereunder, then such Firm Units to which the default relates shall be purchased by the non-defaulting Underwriters in proportion to their respective commitments hereunder.

  • LEAST RESTRICTIVE ENVIRONMENT/DUAL ENROLLMENT CONTRACTOR and XXX shall follow all LEA policies and procedures that support Least Restrictive Environment (“LRE”) options and/or dual enrollment options if available and appropriate, for students to have access to the general curriculum and to be educated with their nondisabled peers to the maximum extent appropriate. CONTRACTOR and XXX shall ensure that LRE placement options are addressed at all IEP team meetings regarding students for whom ISAs have been or may be executed. This shall include IEP team consideration of supplementary aids and services, goals and objectives necessary for placement in the LRE and necessary to enable students to transition to less restrictive settings. When an IEP team has determined that a student should be transitioned into the public school setting, CONTRACTOR shall assist the LEA in implementing the IEP team’s recommended activities to support the transition.

  • Xxxxxxx Xxxxxxx Restrictions/Market Abuse Laws The Participant acknowledges that, depending on his or her country, the broker’s country, or the country in which the Shares are listed, the Participant may be subject to xxxxxxx xxxxxxx restrictions and/or market abuse laws in applicable jurisdictions, which may affect his or her ability to accept, acquire, sell, or attempt to sell or otherwise dispose of Shares or rights to Shares (e.g., Restricted Share Units), or rights linked to the value of Shares, during such times as he or she is considered to have “inside information” regarding the Company (as defined by applicable laws or regulations in the applicable jurisdictions, including the United States and the Participant’s country). Local xxxxxxx xxxxxxx laws and regulations may prohibit the cancellation or amendment of orders the Participant placed before possessing inside information. Furthermore, the Participant may be prohibited from (i) disclosing the inside information to any third party, including fellow employees (other than on a “need to know” basis) and (ii) “tipping” third parties or causing them to otherwise buy or sell securities. Any restrictions under these laws or regulations are separate from and in addition to any restrictions that may be imposed under any applicable Company xxxxxxx xxxxxxx policy. The Participant acknowledges that it is his or her responsibility to comply with any applicable restrictions, and the Participant should consult his or her personal advisor on this matter.

  • Dividend and Other Payment Restrictions Affecting Restricted Subsidiaries (a) The Company will not, and will not permit any of its Restricted Subsidiaries to, directly or indirectly, create or permit to exist or become effective any consensual encumbrance or restriction on the ability of any Restricted Subsidiary to: (1) pay dividends or make any other distributions on its Capital Stock to the Company or any of its Restricted Subsidiaries, or with respect to any other interest or participation in, or measured by, its profits, or pay any Indebtedness owed to the Company or any of its Restricted Subsidiaries; provided that the priority that any series of Preferred Stock of a Restricted Subsidiary has in receiving dividends, distributions or liquidating distributions before dividends, distributions or liquidating distributions are paid in respect of common stock of such Restricted Subsidiary shall not constitute a restriction on the ability to make dividends or distributions on Capital Stock for purposes of this Section 4.08; (2) make loans or advances to the Company or any of its Restricted Subsidiaries (it being understood that the subordination of loans or advances made to the Company or any of its Restricted Subsidiaries to other Indebtedness incurred by the Company or any of its Restricted Subsidiaries shall not be deemed a restriction on the ability to make loans or advances); or (3) sell, lease or transfer any of its properties or assets to the Company or any of its Restricted Subsidiaries. (b) The restrictions in Section 4.08(a) hereof will not apply to encumbrances or restrictions existing under or by reason of: (1) agreements governing Existing Indebtedness and the Credit Agreement as in effect on the date of this Indenture and any amendments, restatements, modifications, renewals, supplements, refundings, replacements or refinancings of those agreements; provided that the encumbrances or restrictions contained in the amendments, restatements, modifications, renewals, supplements, refundings, replacements or refinancings are not in the good faith judgment of an Officer of the Company materially more restrictive, taken as a whole, with respect to such dividend and other payment restrictions than those contained in those agreements on the date of this Indenture; (2) this Indenture, the Notes and the Note Guarantees; (3) agreements governing other Indebtedness permitted to be incurred under the provisions of Section 4.09 hereof and any amendments, restatements, modifications, renewals, supplements, refundings, replacements or refinancings of those agreements; provided that the encumbrances or restrictions contained therein are in the reasonable good faith judgment of an Officer of the Company, either (a) not materially more restrictive, taken as a whole, than those contained in this Indenture, the Notes and the Note Guarantees or the Credit Agreement as in effect on the date of this Indenture or (b) not reasonably likely to have a material adverse effect on the ability of the Company to make required payments on the Notes; (4) applicable law, rule, regulation or order; (5) any instrument governing Indebtedness or Capital Stock of a Person acquired by the Company or any of its Restricted Subsidiaries as in effect at the time of such acquisition (except to the extent such Indebtedness or Capital Stock was incurred in connection with or in contemplation of such acquisition), which encumbrance or restriction is not applicable to any Person, or the properties or assets of any Person, other than the Person, or the property or assets of the Person, so acquired, and any amendments, restatements, modifications, renewals, extensions, supplements, increases, refundings, replacements or refinancings thereof; provided, that the encumbrances and restrictions in any such amendments, restatements, modifications, renewals, extensions, supplements, increases, refundings, replacements or refinancings are, in the reasonable good faith judgment of an Officer of the Company, no more restrictive, taken as a whole, than those in effect on the date of the acquisition; provided further, that, in the case of Indebtedness, such Indebtedness was permitted by the terms of this Indenture to be incurred; (6) customary non-assignment provisions in Hydrocarbon purchase and sale or exchange agreements or similar operational agreements or in licenses, easements or leases, in each case, entered into in the ordinary course of business; (7) purchase money obligations for property acquired in the ordinary course of business and Capital Lease Obligations that impose restrictions on the property purchased or leased of the nature described in clause (3) of Section 4.08(a); (8) any agreement for the sale or other disposition of a Restricted Subsidiary that restricts distributions by that Restricted Subsidiary pending its sale or other disposition; (9) Permitted Refinancing Indebtedness; provided that the restrictions contained in the agreements governing such Permitted Refinancing Indebtedness are, in the reasonable good faith judgment of an Officer of the Company, not materially more restrictive, taken as a whole, than those contained in the agreements governing the Indebtedness being refinanced; (10) Liens permitted to be incurred under the provisions of Section 4.12 that limit the right of the debtor to dispose of the assets subject to such Liens; (11) provisions limiting the disposition or distribution of assets or property in joint venture agreements, asset sale agreements, sale-leaseback agreements, stock sale agreements and other similar agreements (including agreements entered into in connection with a Restricted Investment) entered into with the approval of the Company’s Board of Directors, which limitation is applicable only to the assets that are the subject of such agreements; (12) encumbrances or restrictions applicable only to a Restricted Subsidiary that is not a Domestic Subsidiary; (13) encumbrances or restrictions on cash or other deposits or net worth imposed by customers or lessors under contracts or leases entered into in the ordinary course of business; (14) customary encumbrances and restrictions contained in agreements of the types described in the definition of Permitted Business Investments; (15) agreements governing Hedging Obligations incurred in the ordinary course of business; and (16) any encumbrance or restriction with respect to an Unrestricted Subsidiary pursuant to or by reason of an agreement that the Unrestricted Subsidiary is a party to or entered into before the date on which such Unrestricted Subsidiary became a Restricted Subsidiary; provided that such agreement was not entered into in anticipation of the Unrestricted Subsidiary becoming a Restricted Subsidiary and any such encumbrance or restriction does not extend to any assets or property of the Company or any other Restricted Subsidiary other than the assets and property of such Unrestricted Subsidiary. In each case set forth above, notwithstanding any stated limitation on the assets or property that may be subject to such encumbrance or restriction, an encumbrance or restriction on a specified asset or property or group or type of assets or property may also apply to all improvements, additions, repairs, attachments or accessions thereto, assets and property affixed or appurtenant thereto, parts, replacements and substitutions therefor, and all products and proceeds thereof, including dividends, distributions, interest and increases in respect thereof.

  • Default Not Exceeding 10% of Firm Securities or Option Securities If any Underwriter or Underwriters shall default in its or their obligations to purchase the Firm Securities or the Option Securities, if the Over-allotment Option is exercised hereunder, and if the number of the Firm Securities or Option Securities with respect to which such default relates does not exceed in the aggregate 10% of the number of Firm Securities or Option Securities that all Underwriters have agreed to purchase hereunder, then such Firm Securities or Option Securities to which the default relates shall be purchased by the non-defaulting Underwriters in proportion to their respective commitments hereunder.

  • Limitation on Dividend and Other Payment Restrictions Affecting Restricted Subsidiaries The Company shall not, and shall not permit any Restricted Subsidiary to, directly or indirectly, create or otherwise cause or suffer to exist or become effective any consensual encumbrance or restriction of any kind on the ability of any Restricted Subsidiary (except a Foreign Subsidiary) to (a) pay dividends, in cash or otherwise, or make any other distributions on or in respect of its Capital Stock to the Company or any other Restricted Subsidiary, (b) pay any Indebtedness owed to the Company or any other Restricted Subsidiary, (c) make an Investment in the Company or any other Restricted Subsidiary or (d) transfer any of its Properties or assets to the Company or any other Restricted Subsidiary, except for such encumbrances or restrictions (i) pursuant to this Indenture, the Existing Indentures, the Credit Agreement or any agreement in effect or entered into on the Issue Date, (ii) any agreement or other instrument of a Person acquired by the Company or any Restricted Subsidiary in existence at the time of such acquisition (but not created in contemplation thereof), which encumbrance or restriction is not applicable to any other Person, or the Properties or assets of any other Person, other than the Person, or the Property or assets of the Person, so acquired, (iii) that constitute customary restrictions in leases and licenses relating to the Property covered thereby and entered into in the ordinary course of business, (iv) contained in agreements governing Indebtedness permitted to be incurred in accordance with this Indenture provided that the restrictions are not materially more restrictive in the aggregate than the restrictions contained in this Indenture, or (v) existing under any agreement that extends, renews, refinances or replaces (in whole or in part, and whether or not such prior agreements remain outstanding) the agreements containing the restrictions in the foregoing clauses (i), (ii), (iii) and (iv) provided that the terms and conditions of any such restrictions are not materially less favorable to the Holders of the Securities than those under or pursuant to the agreement evidencing the Indebtedness so extended, renewed, refinanced or replaced.

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