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Fundamental equations for statistical submanifolds with applications to the Bartlett correction

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  • Paul Vos

Abstract

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Suggested Citation

  • Paul Vos, 1989. "Fundamental equations for statistical submanifolds with applications to the Bartlett correction," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(3), pages 429-450, September.
    • Handle: RePEc:spr:aistmt:v:41:y:1989:i:3:p:429-450
    DOI: 10.1007/BF00050660
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    Citations

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    Cited by:

    1. Chul Woo Lee & Jae Won Lee, 2018. "Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures," Mathematics, MDPI, vol. 6(11), pages 1-10, November.
    2. Hülya Aytimur & Adela Mihai & Cihan Özgür, 2021. "Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds," Mathematics, MDPI, vol. 9(11), pages 1-13, June.
    3. Ion Mihai & Radu-Ioan Mihai, 2021. "A New Algebraic Inequality and Some Applications in Submanifold Theory," Mathematics, MDPI, vol. 9(11), pages 1-10, May.
    4. Aliya Naaz Siddiqui & Bang-Yen Chen & Oguzhan Bahadir, 2019. "Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds," Mathematics, MDPI, vol. 7(9), pages 1-19, September.
    5. Aliya Naaz Siddiqui & Ali Hussain Alkhaldi & Lamia Saeed Alqahtani, 2022. "Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature," Mathematics, MDPI, vol. 10(10), pages 1-10, May.
    6. Hülya Aytimur & Mayuko Kon & Adela Mihai & Cihan Özgür & Kazuhiko Takano, 2019. "Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds," Mathematics, MDPI, vol. 7(12), pages 1-19, December.
    7. Esmaeil Peyghan & Leila Nourmohammadifar & Ion Mihai, 2024. "Statistical Submanifolds Equipped with F -Statistical Connections," Mathematics, MDPI, vol. 12(16), pages 1-28, August.
    8. Simona Decu, 2022. "Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    9. Ion Mihai & Radu-Ioan Mihai, 2022. "General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature," Mathematics, MDPI, vol. 10(17), pages 1-9, August.
    10. Adela Mihai & Ion Mihai, 2018. "Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature," Mathematics, MDPI, vol. 6(3), pages 1-8, March.
    11. Abdullah Ali H. Ahmadini & Mohd. Danish Siddiqi & Aliya Naaz Siddiqui, 2024. "Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds," Mathematics, MDPI, vol. 12(9), pages 1-16, April.
    12. Oğuzhan Bahadır & Aliya Naaz Siddiqui & Mehmet Gülbahar & Ali Hussain Alkhaldi, 2022. "Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations," Mathematics, MDPI, vol. 10(13), pages 1-18, June.

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