Analysis of elliptical tubes with applications in biological modeling. The package is based on the references: Taheri, M., Pizer, S. M., & Schulz, J. (2024) "The Mean Shape under the Relative Curvature Condition." Journal of Computational and Graphical Statistics <doi:10.1080/10618600.2025.2535600> and arXiv <doi:10.48550/arXiv.2404.01043>. Mohsen Taheri Shalmani (2024) "Shape Statistics via Skeletal Structures", PhD Thesis, University of Stavanger, Norway <doi:10.13140/RG.2.2.34500.23685>. Key features include constructing discrete elliptical tubes, calculating transformations, validating structures under the Relative Curvature Condition (RCC), computing means, and generating simulations. Supports intrinsic and non-intrinsic mean calculations and transformations, size estimation, plotting, and random sample generation based on a reference tube. The intrinsic approach relies on the interior path of the original non-convex space, incorporating the RCC, while the non-intrinsic approach uses a basic robotic arm transformation that disregards the RCC.

Provides a collection of functions to perform core tasks within
    Energy Trading and Risk Management (ETRM). Calculation of maximum smoothness 
    forward price curves for electricity and natural gas contracts with flow delivery, as presented in
    F. E. Benth, S. Koekebakker, and F. Ollmar (2007) <doi:10.3905/jod.2007.694791>
    and F. E. Benth,  J. S. Benth,  and S. Koekebakker (2008) <doi:10.1142/6811>.
    Portfolio insurance trading strategies for price risk management in the forward market, see
    F. Black (1976) <doi:10.1016/0304-405X(76)90024-6>, 
    T. Bjork (2009) <https://EconPapers.repec.org/RePEc:oxp:obooks:9780199574742>,  
    F. Black and R. W. Jones (1987) <doi:10.3905/jpm.1987.409131> and
    H. E. Leland (1980) <http://www.jstor.org/stable/2327419>.

Computes moments of univariate truncated t distribution.
    There is only one exported function, e_trunct(), which should be seen for details.

Provides functions for treatment effect estimation, hypothesis testing, and future study design for settings where the surrogate is used in place of the primary outcome for individuals for whom the surrogate is valid, and the primary outcome is purposefully measured in the remaining patients. More details are available in: Knowlton, R., Parast, L. (2024) ``Efficient Testing Using Surrogate Information," Biometrical Journal, 67(6): e70086,  <doi:10.1002/bimj.70086>. A tutorial for this package can be found at <https://www.laylaparast.com/etsi>.