Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

OPTIMAL DESIGNS FOR SPLINE WAVELET REGRESSION MODELS.

Jacob M Maronge1, Yi Zhai1, Douglas P Wiens2

  • 1Biostatistics Program, Louisiana State University Health Sciences Center, New Orleans, Louisiana, 70112, USA.

Journal of Statistical Planning and Inference
|October 17, 2017
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

First-Line Disitamab Vedotin, Tislelizumab, and S-1 in HER2-Overexpressing Advanced Gastric or Gastroesophageal Junction Adenocarcinoma: A Single-Arm, Phase II Trial.

Journal of clinical oncology : official journal of the American Society of Clinical Oncology·2026
Same author

Values in the Neonatal ICU: Insights into Caregiver Priorities.

The Journal of pediatrics·2026
Same author

Integrative Systems Biology and Experimental Validation Unveil GALNT14 as a Novel Diagnostic Biomarker and Therapeutic Target for Sepsis.

Human mutation·2026
Same author

A review of pretreatment and analytical methods for triphenylmethane dyes in environmental samples.

Journal of chromatography. A·2026
Same author

Non-negligible aldehydes in the environment: Emerging challenges and advanced removal strategies.

Ecotoxicology and environmental safety·2026
Same author

MoS<sub>2</sub>/MoN hierarchical heterostructure induces built-in electric field achieving high-rate and long-life lithium-ion batteries.

Journal of colloid and interface science·2026
Same journal

Comparing Adaptive Interventions under a General Sequential Multiple Assignment Randomized Trial Design via Multiple Comparisons with the Best.

Journal of statistical planning and inference·2026
Same journal

Variable Selection in Ultra-high Dimensional Feature Space for the Cox Model with Interval-Censored Data.

Journal of statistical planning and inference·2026
Same journal

On semi-supervised estimation using exponential tilt mixture models.

Journal of statistical planning and inference·2025
Same journal

Regression-Assisted Bayesian Record Linkage for Causal Inference in Observational Studies with Covariates Spread Over Two Files.

Journal of statistical planning and inference·2024
Same journal

Efficient inference of parent-of-origin effect using case-control mother-child genotype data.

Journal of statistical planning and inference·2024
Same journal

Distributed eQTL analysis with auxiliary information.

Journal of statistical planning and inference·2024
See all related articles

This study explores optimal wavelet regression designs, finding that I-optimal designs differ from D-optimal ones. Optimal quadratic spline wavelet designs can significantly save resources and improve experimental precision.

Area of Science:

  • Statistics
  • Applied Mathematics
  • Signal Processing

Background:

  • Wavelet regression models offer flexibility in capturing complex relationships.
  • Optimal designs enhance experimental precision in statistical modeling.
  • Existing research on Haar wavelet regression designs provides a basis for comparison.

Purpose of the Study:

  • To investigate optimal design problems for wavelet regression models.
  • To construct and compare different types of optimal designs (D-, I-, and c-optimal).
  • To develop model-robust designs addressing potential response misspecification.

Main Methods:

  • Analytical and numerical construction of D- and I-optimal quadratic spline wavelet designs.
  • Comparison of I-optimal designs with D-optimal designs for wavelet regression.
Keywords:
Haar waveletsMinimaxModel robustnessOptimal designsPrimary 62K05, 62G35Spline waveletsTrigonometric regressionWavelet regressionsecondary 62G07

Related Experiment Videos

  • Development of model-robust designs for incomplete wavelet model fitting.

    • Main Results:

    • I-optimal designs for wavelet regression are distinct from D-optimal designs.
    • Optimal quadratic spline wavelet designs (D- and I-) were successfully constructed.
    • A case study demonstrated significant resource savings using optimal designs.
    • Model-robust designs were developed to handle response misspecification.

    Conclusions:

    • Optimal wavelet regression designs, particularly quadratic spline types, offer substantial benefits in resource efficiency and precision.
    • The distinction between I- and D-optimal designs highlights the nuances in optimizing wavelet models.
    • Model-robust designs provide a practical solution for real-world applications with potential model misspecification.