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Missing responses at random in functional single index model for time series data

Author

Listed:
  • Nengxiang Ling

    (Hefei University of Technology)

  • Lilei Cheng

    (Hefei University of Technology)

  • Philippe Vieu

    (Institut de Mathématiques, Université Paul Sabatier)

  • Hui Ding

    (Nanjing University of Finance and Economics)

Abstract

In this paper, we first investigate the estimation of the functional single index regression model with missing responses at random for strong mixing time series data. More precisely, the uniform almost complete convergence rate and asymptotic normality of the estimator are obtained respectively under some general conditions. Then, some simulation studies are carried out to show the finite sample performances of the estimator. Finally, a real data analysis about the sea surface temperature is used to illustrate the effectiveness of our methodology.

Suggested Citation

  • Nengxiang Ling & Lilei Cheng & Philippe Vieu & Hui Ding, 2022. "Missing responses at random in functional single index model for time series data," Statistical Papers, Springer, vol. 63(2), pages 665-692, April.
    • Handle: RePEc:spr:stpapr:v:63:y:2022:i:2:d:10.1007_s00362-021-01251-2
    DOI: 10.1007/s00362-021-01251-2
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    References listed on IDEAS

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    Cited by:

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    2. Shuyu Meng & Zhensheng Huang, 2024. "Variable Selection in Semi-Functional Partially Linear Regression Models with Time Series Data," Mathematics, MDPI, vol. 12(17), pages 1-23, September.
    3. Fatimah A. Almulhim & Mohammed B. Alamari & Salim Bouzebda & Zoulikha Kaid & Ali Laksaci, 2025. "Robust Estimation of L 1 -Modal Regression Under Functional Single-Index Models for Practical Applications," Mathematics, MDPI, vol. 13(4), pages 1-20, February.
    4. Manuel Febrero-Bande & Pedro Galeano & Eduardo García-Portugués & Wenceslao González-Manteiga, 2024. "Testing for linearity in scalar-on-function regression with responses missing at random," Computational Statistics, Springer, vol. 39(6), pages 3405-3429, September.
    5. Salim Bouzebda, 2024. "Limit Theorems in the Nonparametric Conditional Single-Index U -Processes for Locally Stationary Functional Random Fields under Stochastic Sampling Design," Mathematics, MDPI, vol. 12(13), pages 1-81, June.

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